Rotary Encoder

Delve deep into the fascinating world of rotary encoders and their role in modern physics. This comprehensive guide offers an in-depth look at both absolute and incremental rotary encoders, explaining their functionalities, advantages, and working principles. You will gain a thorough understanding of the intricacies of the rotary encoder pinout and the intriguing intricacies of the rotary encoder technique. Furthermore, real-world examples are explored to illustrate practical uses of rotary encoders. Finally, unpack the entire working principle of a rotary encoder, crucial in mastering this exciting realm of modern physics.

Get started

Millions of flashcards designed to help you ace your studies

Sign up for free

Review generated flashcards

Sign up for free
You have reached the daily AI limit

Start learning or create your own AI flashcards

StudySmarter Editorial Team

Team Rotary Encoder Teachers

  • 25 minutes reading time
  • Checked by StudySmarter Editorial Team
Save Article Save Article
Contents
Contents

Jump to a key chapter

    Understanding Rotary Encoder in Modern Physics

    Rotary encoders, also often referred to as shaft encoders, are electromechanical devices converting the angular position or motion of a shaft or axis to a digital output signal. Rotary encoders assume a crucial part in many evolved physics applications, such as observation systems, medical screening, and robotics. Besides, these devices are vital components of many modern physics experiments involving precision measurements and controls.

    Rotary Encoder Definition: Unravelling its essence

    A rotary encoder is a type of position sensor which outputs digital signal corresponding to the rotation of a revolving shaft to which it is attached. The digital signals can be used by the systems to determine the position and the direction of the rotation.

    Rotary encoders mainly come in two varieties:

    • Incremental encoders
    • Absolute encoders

    Incremental encoders provide output indicating the change in position since the last measurement, while absolute encoders provide a unique digital output for each position of the shaft.

    Here is a straightforward tabulation for better visualisation:

    Encoder TypeOutput
    Incremental EncoderChange in Position
    Absolute EncoderUnique output for each position

    Complex formulae are not typically associated with the basic operation of a rotary encoder. However, some advanced applications may require the use of formulas such as Angular Velocity. It can be calculated using:

    \[\omega = \frac{{\Delta \theta}}{{\Delta t}}\]

    Importance of Rotary Encoders in Modern Physics

    Rotary encoders are extensively used within cutting edge experimentation setups in physics such as Large Hadron Collider at CERN, where precision and control are pivotal. The collimator system utilizes rotary encoders to adjust the position of collimators to precisely shape the particle beam.

    Furthermore, rotary encoders are used in:

    • Industrial controls
    • Robotics
    • CNC machines
    • Computer input devices like the mouse wheel

    Due to their high precision, accuracy and ease of use, rotary encoders have become one of the most important components in modern physics and technology. A misread of even a fraction of a degree in rotation can greatly impact the results of physics experiments or the functioning of tech devices. Thus, the importance of rotary encoders in modern physics cannot be overstated.

    Dive into the world of Absolute Rotary Encoder

    Acquiring a deep understanding of the absolute rotary encoder is essential in the field of modern physics and technology. This type of encoder is a special variant of rotary encoder, designed to output a unique digital code or signal for each shaft position, enabling precise tracking of the shaft's absolute position.

    Absolute Rotary Encoder: A Comprehensive Explanation

    The crux of a rotary encoder is its ability to track a position through rotation, and the absolute rotary encoder excels in this arena. Unlike incremental rotary encoders that only provide relative positional data, an absolute rotary encoder can inform you about the precise position of the shaft at any given point in time. This is possible due to its unique feature of outputting a distinct binary code for each position.

    When the shaft of an absolute rotary encoder rotates, a unique position value gets allocated based on the correspondence between the shaft's specific angular position and the binary code. As a result, the absolute rotary encoder maintains the positional information even in scenarios where power is lost. When power is restored, the encoder can retrieve the recorded position without the necessity for putting the system through a homing sequence.

    Moreover, absolute rotary encoders come in two types based on their digital outputs:

    • Single-turn absolute encoders
    • Multi-turn absolute encoders

    Single-turn absolute rotary encoders provide unique position values within a single 360-degree turn of the shaft. On the other hand, multi-turn encoders track the total number of revolutions the encoder has made, implementing a more comprehensive motion tracking.

    The distinction between single-turn and multi-turn absolute encoders can be elucidated through the table below:

    Encoder TypeFunctionality
    Single-turn Absolute EncoderUniquely identifies positions within a single revolution
    Multi-turn Absolute EncoderTracks total number of turns made by shaft

    The output of these encoders is typically binary, utilising Gray Code to mitigate errors in the reading. The Gray Code ensures that successive numbers differ by only one bit, preventing errors during transitions. The code can be decoded using the XOR operation as follows:

    \[G_{i}= B_{i}\oplus B_{i+1}\]

    Where \(B_{i}\) is the binary digit and \(G_{i}\) is the Gray digit.

    Advantages of Absolute Rotary Encoder in Modern Physics

    Absolute rotary encoders are particularly advantageous in applications requiring accurate and consistent feedback regarding the position of the system at all times. Their ability to identify distinct positions within the rotation makes them stand out in modern physics experiments, where accuracy is essential.

    For instance, in astronomy, the precise orientation of telescopes is paramount, and errors can lead to misinterpretation of data. Here, absolute encoders play a crucial role by providing accurate feedback about position and orientation changes of telescope components.

    Some of the key benefits of absolute rotary encoders in modern physics include:

    • Retaining Position Information: The absolute rotary encoder can retain positional information even during power loss, eliminating the need for re-calibration upon power restoration.
    • High precision: As these encoders assign a unique value to every position, they provide a high degree of accuracy in angle determination.
    • Multiturn Functionality: The multi-turn absolute encoders can track both the exact position inside a single full 360 degrees rotation and total number of rotations performed, extending their functionality.

    These advantages underscore the valuable contribution of absolute rotary encoders to the field of contemporary physics by enhancing precision, reducing errors, and optimising system performance in a myriad of applications.

    Mastering the science of Incrementals with the Incremental Rotary Encoder

    An incremental rotary encoder, as the name suggests, provides an output indicating the change in position or “increments”. Unlike its counterpart, the absolute rotary encoder, an incremental rotary encoder can only relay information about motion, but not about the absolute position at any given moment. Encompassing design simplicity, cost-effectiveness and high resolution, incremental rotary encoders are often an ideal choice for myriad applications from music tools to robotics.

    Incremental Rotary Encoder: A step-by-step guide

    An incremental rotary encoder operates on a simple yet ingenious principle: optical or magnetic sensing of a coded disc to generate output pulses corresponding to increments of motion. Each step of rotation aligns with an increment yielding an analogue or digital pulse, thus leading to the term "incremental".

    An incremental rotary encoder does not store any position information. If an application requires position awareness during startup or following power loss, additional sensors or systems might be needed.

    These encoders have two output signals, usually termed as channels \( A \) and \( B \). These channels allow not only for the detection of motion but also the identification of the direction of rotation. The phase difference of 90 degrees between these two channels results in what is known as the quadrature output.

    Channel Function
    Channel A Generates pulse proportional to the angle of rotation
    Channel B Works in Quadrature with Channel A to determine the direction of rotation

    Take for example a disk jockey's hardware where incremental rotary encoders are often used in the rotating disc controllers. When the DJ turns the disc clockwise, the controller detects both the motion and the direction which is then used to increase the tempo of the music. Similarly, an anti-clockwise motion will result in slowing down of the music.

    How an Incremental Rotary Encoder operates

    An incremental rotary encoder mainly consists of a rotating disk, a source of light on one side of the disk and sensors on the other. The rotating disk, also known as a code disk, has evenly spaced slots around its periphery. The operation is based on simple principles of optic. When the encoder shaft rotates, the light source illuminates the sensors through the coded disk, generating a pulse signal.

    Once the rotation ends, the side which is blocked decides the direction of rotation. If channel \( A \) is subjected to interruption from light before channel \( B \), the interpretation is a clockwise rotation. If channel \( B \) detects interruption before channel \( A \), it reads as an anti-clockwise direction.

    \[ \begin{align*} \text{If } &A>B, \text{ then } \text{Direction } = Clockwise\\ \text{If } &B>A, \text{ then } \text{Direction } = Counter-Clockwise \end{align*} \]

    Take into consideration a printer. When a piece of paper is being pulled into the printer for printing, the rollers that are pulling the paper work due to an incremental rotary encoder. As the roller rotates, the encoder senses the movement and sends a signal for each increment coding the direction of movement along with the rate at which the paper is moving. This helps the printer to pull the paper with precise coordination for printing.

    Some advantages of using incremental rotary encoders include:

    • Cost-effectiveness: Due to their simplistic design, incremental rotary encoders are usually less expensive.
    • High Resolution: They can deliver very high resolutions, depending on the number of slots present in the coded disk.
    • Robustness: Incremental rotary encoders can continue operation even if internal components experience mild damage.

    In conclusion, the crafting and operation of an incremental rotary encoder is an interesting blend of simple design, optical principles, and logic. With cost-effectiveness and high resolution, these encoders have found vast applications in multiple fields, contributing significantly in the world of modern physics and technology.

    Learning the Rotary Encoder Pinout in Modern Physics

    In physics, especially in the sections dealing with electronics or instrumentation, understanding the pinout of devices like the rotary encoder is of utmost essence. The pinout of a rotary encoder depicts how various pins, sockets, or connections interface with the device, essentially serving as a road map that aids both, comprehension and assembly of the device.

    Understand the complex Rotary Encoder Pinout

    A rotary encoder pinout often comprises three critical pins – the “A” and “B” output pins, and a ground pin. This trinity is seen in both incremental and absolute rotary encoders. However, advanced versions, like the push-button rotary encoders, may come with two additional pins to account for the push-button functionality, increasing the ease of operation.

    In the context of an incremental rotary encoder, the Channel "A" and "B" are represented as two distinct square wave pulses that are 90 degrees out of phase. Through the sequence or order of "on" and "off" in these two channels, the direction of rotation is determined. The ground pin is there to complete the circuit and provide a reference point for the signals.

    An important term that emerges when discussing pinouts is 'Quadrature'. Quadrature, in this context, is the state or process in which two periodic signals, specifically "Channel A" and "Channel B" signals, are phase shifted by 90 degrees. It is this quadrature arrangement that allows for the determination of the direction of rotation.

    In absolute rotary encoders, in addition to the A, B, and ground pins, the number of pins associated with outputs will increase based on resolution. For instance, an absolute encoder with a 12-bit resolution will have twelve pins associated with the outputs – each pin representing a unique bit of the absolute position representation, in addition to the A, B, and ground pins.

    A comparative understanding of encoder pinouts can be encapsulated in the table below:

    Encoder TypeEssential PinsAdditional Pins
    Incremental EncoderA, B, GroundN/A
    Absolute EncoderA, B, GroundBits corresponding to Resolution
    Push-Button EncoderA, B, GroundSW, Ground for SW

    An application can help illustrate this better. Consider an absolute encoder with an 8-bit resolution used in a robotic arm movement tracking system. Here, each of the 8 output pins will have its unique binary value depending on the arm's position. Even if there is a power loss, the last position of the arm can be instantly recognised at the power restoration by reading the binary output from these 8 additional pins.

    The integral role of Rotary Encoder Pinout

    The pinouts play an integral role in interfacing with the rotary encoder. It’s the first fundamental step in integrating an encoder with a system. Accurate knowledge of the pinouts and their functionalities helps avoid misconnections, preventing possible malfunction or damage. Each pin in the encoder is designed to serve a specific function and understanding this functionality is crucial for successful implementation of any project involving rotary encoders.

    The direct reading of the states of "A" and "B" channels, both incremental and absolute encoders, is accomplished via these pinouts. They provide the necessary information for real-time tracking of the device's movement, including speed, distance, and rotational direction. Particularly in an absolute encoder, the additional number of pins corresponding to its resolution expands the functionality of the encoder by tracking the exact position.

    In addition, designing the interface for a rotary encoder is heavily dependent on correct pin mapping, especially in programming languages like Arduino. The respective pins on the microcontroller or microprocessor must be correctly interfaced with the encoder pins, for the code to correctly interpret the encoder movements.

    A careful study of the device datasheet, which usually provides the visual representation and functionality of each pin, is commonly the first step. Here, it’s essential to note that different manufacturers may have varying pinout diagrams for seemingly similar encoders, further highlighting the critical role pinouts play in each device variation.

    Imagine using an incremental rotary encoder to control the volume level on a digital audio mixer. The pins A and B from the encoder would clamp to the processor's set digital pins, thus capturing each increment and determining the direction of rotation instantaneously. So, whether you twist the knob left or right, the processor's mapping of encoder's pin states will lead to a decrease or increase in the volume level respectively.

    The Future of Rotary Encoder Pinouts

    With our rapidly evolving technological scenario, the rotary encoder pinouts are expected to grow more complex, accommodating enhanced functionality in smaller packages. Yet, the basic operational principles and the need for careful mapping of these pinouts are predicted to remain the same, further stressing on why learning to navigate through them remains a keystone to mastering modern physics as applied in electronics technology.

    Insights into the Rotary Encoder Technique

    The rotary encoder is a prevalent technique used in physics, specifically when monitoring the positional movements of mechanical systems. By using special sensors, rotary encoders are able to track the rotation of an object, such as a wheel or dial, and translate it into digital signals that can be understood by a microprocessor or microcontroller. The unique aspect of this technique is that it can accurately determine both the extent and the direction of rotation, making rotary encoders a valuable tool for many practical applications, including robotics and automation.

    The basis of Rotary Encoder Technique

    A rotary encoder works on the principle of optoelectronics, magnetism, or capacitiveness to detect the rotation of a shaft or axle. As the axle goes through a rotational movement, the encoder translates this movement into electrical signals that can then be processed for further use. These encoders can deliver output in the form of analog or digital signals. The two leading variants of rotary encoders are incremental and absolute encoders.

    An incremental encoder is one type that only reports changes in position. It generates digital signals corresponding to the movement, but once it loses power, it also loses track of its position. On the other hand, an absolute encoder ascertains and conveys an absolute position to an accompanying device, such as a digital readout or a processor. Unlike incremental encoders, absolute encoders retain the information about the device's position even when the power supply is interrupted.

    The methods used by the encoders to detect motion vary. For instance, a typical optical rotary encoder uses a light source and photo detector to read the rotation movements. It has a disc with equally spaced slots cut out around its edge, attached to its shaft. As the disc rotates, the light passing through the slots alternates between blocked and allowed states, thereby creating pulses of light that the photodetector converts into electrical signals.

    On the other hand, a magnetic rotary encoder uses a series of magnetic poles to detect a rotating magnetic field. The encoder translates these changes in the magnetic field into electrical signals.

    Below is a summary of these encoder types:

    Encoder TypeMethodPosition Tracking
    Incremental EncoderOptical, Magnetic, or Capacitive sensingOnly able to track changes
    Absolute EncoderOptical, Magnetic, or Capacitive sensingAble to track absolute position

    Crucial elements of a Rotary Encoder Technique

    The functionality of a rotary encoder relies on several intrinsic components and their optimal operation. The first of these is the code disc or wheel, a critical part in optical encoders. This disc comes with precise markings that, when the wheel rotates, change the transparency or reflectivity at the point where the detection takes place. In magnetic encoders, the disc is replaced by a magnetic medium with alternating magnetic fields.

    The 'A' and 'B' outputs, known as channels, form another vital component of a rotary encoder. These are the signals that provide the binary output for each rotation step. For an incremental encoder, the relative order of these signals (A leading B or B leading A) helps determine the direction of rotation. In absolute encoders, additional pins handling extra output signals offer more information about exact position.

    One more crucial aspect to consider is the resolution of the encoder, which is the measure of the smallest angle that the encoder can discern. It is often measured in pulses per revolution for incremental encoders and in terms of total unique codes, or bit number for absolute encoders. The resolution ultimately impacts the precision of positional tracking with higher resolutions translating to more accurate readings.

    Resolution in an absolute encoder can be calculated using the formula: \( 2^n \), where \( n \) represents the number of bits. For instance, if an absolute encoder has 12 bits, it can output \( 2^{12} = 4096 \) unique position values.

    Learning these elements enhances the understanding of the rotary encoder technique and allows you to select and pair the right type of encoder with your specific applications to achieve desired outcomes.

    Explore practical Rotary Encoder Examples

    Appreciating the practical applications of rotary encoders is essential to understand their value in real-world settings. These devices are extensively used in various industries, ranging from automation to music. Let's dive deep into some practical examples and scenarios where you would frequently encounter rotary encoders.

    Cases to illustrate the use of Rotary Encoders

    Rotary encoders find their footing in a plethora of industries and applications owing to their ability to accurately measure and control rotational movements. Here are a few notable examples:

    • Industrial Automation: Automated processes rely heavily on rotary encoders to monitor the movement and positioning of machines. They ensure that various components move in concert with precision and accuracy.
    • Robotics: Rotary encoders serve as the 'senses for machines', allowing robots to be aware of and control their articulations. This function is especially relevant in robotic arms requiring precise movement.
    • Medical Equipment: In advanced medical technology, actions need to be exact to avoid any possible complications. Rotary encoders ensure accuracy particularly in imaging systems, minimally invasive surgical tools, and medical pumps.

    Beyond these, there are also some unique applications worth mentioning:

    • Telescopes: In astronomical telescopes, rotary encoders are used to track celestial bodies accurately. They help in aligning the telescope with precision, based on a computation of the earth's rotation and the motion of a specific celestial body.
    • Music Technology : In musical equipment like mixers and synthesizers, rotary encoders are used to adjust various parameters such as volume, pitch, and tone. This allows for a wider range of intricate adjustments than traditional knobs and sliders offer.

    In essence, any industry requiring accurate control and monitoring of rotational movements can benefit from incorporating rotary encoders in their systems. The examples given above are only a fraction of the broad spectrum of applications for these versatile devices.

    Real-world Rotary Encoder Examples

    To further illustrate the real-world utility of rotary encoders, let's explore some examples in detail:

    Example 1 - Industrial Automation: Consider a conveyor belt system in a manufacturing facility. Here, a rotary encoder monitors the speed and the direction of the belt's motion. This ensures items are moved accurately from one station to another, coordinating the pace of the assembly line. If an item fails to reach a station on time or the belt stalls, the rotary encoder reports these changes instantly to the control system, allowing for quick troubleshooting and maintaining the efficiency of the process.

    Example 2 - Robotics: In the case of a robotic arm used for precision tasks like circuit board soldering, a rotary encoder is vital. It tracks the arm's movement around its axis, informing the control system about the exact position of the arm at all times. This fine degree of control is essential to guarantee quality and consistency in the soldering process, essentially mirroring a human arm's dexterity with much higher reliability and precision.

    In both examples, the rotary encoder forms the essential link between real-world movements and computational control. By accurately translating the mechanical movements into electrical signals, it makes possible the fine control and precision that modern industrial processes and robotics demand.

    In short, rotary encoders are an integral part of a multitude of appliances and systems that make our lives easier and more efficient. Whether they are guiding an automated production line or helping a performer in creating music, they serve the same fundamental purpose – translating rotational motion into actionable electrical signals.

    Unpacking the Rotary Encoder Working Principle

    Understanding the rotary encoder working principle starts with recognising its two primary types: absolute encoders and incremental encoders. Both types convert angular position or motion into an electronic signal, but they do so differently, which can be better understood by exploring their working principles in detail.

    Delving deeper into the Rotary Encoder Working Principle

    Let's start with the working principle of the incremental encoder. This encoder has a rotating disc, usually made of plastic, glass, or metal, with evenly spaced markings around the border. An emitter-detector pair consisting of an infrared LED and a phototransistor is directed at the disc, at a point where the disc is slotted. As the disc rotates, the marked slots on the disc break the light beam from the LED, creating electrical pulses at regular intervals. This sequence of pulses offers a measure of the rotation of the encoder.

    Incremental encoders have two output channels, referred to as A and B, producing two pulse sequences. By counting these pulses the device can measure the amplitude of the rotation. Additionally, by comparing the phase shift between the pulse sequences in channels A and B, the device can detect the direction of rotation.

    Simple as it appears, this method assures speedy response and high-resolution feedback. This principle is leveraged in myriad applications such as motor speed control, robotics and CNC machines, where real-time responsive controls are necessary.

    On the flip side, the absolute encoder does not generate a stream of pulses. Instead, it produces a unique output word for each possible position of the disc, even after power interruptions. This operative principle can be compared to how a compass operates. Regardless of how much you rotate a compass, it always correctly indicates the direction.

    Absolute rotary encoders have two types of codes: gray code and binary code. Here, the unique position is registered by optical, magnetic or capacitive technologies. Most absolute encoders use optical technology where a rotating disc has concentric bands coded with binary or gray scale patterns to produce a unique signal for each position. This information is then translated into digital or analogue signals that can be utilised by control systems.

    One major advantage of absolute encoders is that they remember their position even if the power fails. Upon restoration of supply, they can continue their operation from where exactly they stopped, without undergoing any reference run to restore its position. This makes them a reliable choice for critical applications.

    The significance of understanding the Rotary Encoder Working Principle

    Comprehending the workings of a rotary encoder is key to deciding which encoder would better suit your particular needs. For instance, if you need to monitor the speed of a motor, an incremental encoder would suffice, since it excellently tracks changes in rotation. Furthermore, if the system requires a feedback loop control, then the speed responsiveness of these encoders comes in handy.

    On the other hand, if you want to track the full axial rotation of a platform or an antenna, absolute encoders would be suitable due to their ability to retain the information of the position. In both cases, the significant understanding of how each type of encoder operates, and hence their strengths and weaknesses, will aid you in making an educated choice.

    Remember that, as essential as the working principles are, these are not the only factors to bear in mind when selecting a rotary encoder. Other considerations including environment, resolution, interfacing, size, and reliability also play a role in selecting the most appropriate encoder.

    In summary, the understanding of the rotary encoder working principle does not only aid in making a more informed decision during selection, but also fosters better utilisation of the device. It further aids in troubleshooting common issues, giving you a comprehensive knowledgebase to ensure your systems are operating as efficiently as possible.

    Rotary Encoder - Key takeaways

    • A Rotary Encoder does not store any position information. For position awareness during startup or following power loss, extra sensors or systems might be required.
    • Rotary encoders have two output signals, Channel A and Channel B. The phase difference of 90 degrees between the two gives a quadrature output, allowing the detection of direction and motion.
    • The Incremental Rotary Encoder operates based on a rotating code disk. Light passes through the slots and is detected by sensors, generating a pulse signal that is interrupted by the disk's rotation to determine direction. It also finds applications in disc jockey's hardware, printers, etc.
    • The Rotary Encoder Pinout shows how different pins interface with the device. In both incremental and absolute rotary encoders, there are "A" and "B" output pins and a ground pin, however, additional pins might be present. Also, Quadrature is the phase shift of 90 degrees between "A" and "B" channels which helps to determine the direction of rotation.
    • The Rotary Encoder Technique monitors the positional movements of mechanical systems. The technique uses special sensors to track rotation and translate it into digital signals. This technique is used in physics, particularly when monitoring the movements of mechanical systems and has significant industrial applications including robotics and automation.
    Learn faster with the 14 flashcards about Rotary Encoder

    Sign up for free to gain access to all our flashcards.

    Rotary Encoder
    Frequently Asked Questions about Rotary Encoder
    What are the common types of rotary encoders and how do they differ from each other?
    The common types of rotary encoders are absolute and incremental rotary encoders. Absolute encoders provide a unique output for each position they detect, whereas incremental encoders only report a change in position, not the absolute position itself.
    What is the principle behind the functioning of a rotary encoder?
    A rotary encoder operates on the principle of photoelectric or mechanical detection of a rotational movement. It generates an output signal based on the relative position of a marked or coded disc, which turns with the object being measured. The signals can be used to determine position, speed, and direction of rotation.
    How does the resolution of a rotary encoder impact its performance?
    The resolution of a rotary encoder directly affects its performance: high resolution offers more precise and accurate positional feedback. However, higher resolutions can be more expensive and may require more complex processing equipment.
    What factors should be considered when selecting a rotary encoder for a specific application?
    When selecting a rotary encoder, consider its resolution, maximum speed, output interface, environmental conditions (like temperature, humidity, vibration), physical size constraints, and the application's specific requirements for accuracy and reliability.
    What is the role of a rotary encoder in motion control and automation systems?
    A rotary encoder is used in motion control and automation systems to convert the angular position or motion of a shaft to digital or analogue output signals. These signals inform the system about motion characteristics like speed, direction, and position, supporting accurate and effective system control.
    Save Article

    Test your knowledge with multiple choice flashcards

    What is the rotary encoder technique and what does it help monitor?

    What role do rotary encoders play in a conveyor belt system in a manufacturing facility and a robotic arm used for precision tasks?

    What is the primary function of an absolute rotary encoder?

    Next

    Discover learning materials with the free StudySmarter app

    Sign up for free
    1
    About StudySmarter

    StudySmarter is a globally recognized educational technology company, offering a holistic learning platform designed for students of all ages and educational levels. Our platform provides learning support for a wide range of subjects, including STEM, Social Sciences, and Languages and also helps students to successfully master various tests and exams worldwide, such as GCSE, A Level, SAT, ACT, Abitur, and more. We offer an extensive library of learning materials, including interactive flashcards, comprehensive textbook solutions, and detailed explanations. The cutting-edge technology and tools we provide help students create their own learning materials. StudySmarter’s content is not only expert-verified but also regularly updated to ensure accuracy and relevance.

    Learn more
    StudySmarter Editorial Team

    Team Physics Teachers

    • 25 minutes reading time
    • Checked by StudySmarter Editorial Team
    Save Explanation Save Explanation

    Study anywhere. Anytime.Across all devices.

    Sign-up for free

    Sign up to highlight and take notes. It’s 100% free.

    Join over 22 million students in learning with our StudySmarter App

    The first learning app that truly has everything you need to ace your exams in one place

    • Flashcards & Quizzes
    • AI Study Assistant
    • Study Planner
    • Mock-Exams
    • Smart Note-Taking
    Join over 22 million students in learning with our StudySmarter App
    Sign up with Email