Uniformly Accelerated (Decelerated) Circular Motion Calculator

The Uniformly Accelerated (Decelerated) Circular Motion Calculator will calculate:

Angular acceleration when the initial and final angular velocities and moving time are given
Angular displacement when the initial and final angular velocities and moving time are given

Uniformly Accelerated (Decelerated) Circular Motion Calculator
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Calculator Precision (Decimal Places)
Initial angular velocity (ω₀) rad/s
Final angular velocity (ω) rad/s
Time of rotation (t) s

Uniformly Accelerated (Decelerated) Circular Motion Calculator Results (detailed calculations and formula below)
Angular acceleration
The angular acceleration when the initial and final angular velocities and moving time are given is rad/s²
The angular displacement when the initial and final angular velocities and moving time are given is rad
α = ω - ω₀/t α = - / α = / α =
Angular displacement
φ = (ω₀ + ω) × t/2 φ = ( + ) × /2 φ = () × /2 φ = /2 φ =
Uniformly Accelerated Decelerated Circular Motion Calculator Input Values
Initial angular velocity (ω₀) rad/s
Final angular velocity (ω) rad/s
Time of rotation (t) s

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each uniformly accelerated decelerated circular motion calculation, the Uniformly Accelerated Decelerated Circular Motion Calculator will automatically calculate the results and update the Physics formula elements with each element of the uniformly accelerated decelerated circular motion calculation. You can then email or print this uniformly accelerated decelerated circular motion calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Uniformly Accelerated Decelerated Circular Motion. This image shows the properties and uniformly accelerated decelerated circular motion formula for the Uniformly Accelerated Decelerated Circular Motion. This calculator will calculate angular acceleration and angular displacement when the initial and final angular velocities and moving time are given

Angular acceleration Formula and Calculation

α = ω - ω₀/t

Angular displacement Formula and Calculation

φ = (ω₀ + ω) × t/2

Aditional Kinematic Formulas

φ = ω₀ × t + α × t²/2

and

ω² - ω²₀ = 2 × α × φ

Rotation Physics Tutorials associated with the Uniform Motion Calculator

The following Physics tutorials are provided within the Rotation section of our Free Physics Tutorials. Each Rotation tutorial includes detailed Rotation formula and example of how to calculate and resolve specific Rotation questions and problems. At the end of each Rotation tutorial you will find Rotation revision questions with a hidden answer that reveals when clicked. This allows you to learn about Rotation and test your knowledge of Physics by answering the test questions on Rotation.

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