Uniform Circular Motion Calculator

The Uniform Circular Motion Calculator calculator will calculate:

Period of rotation in a uniform circular motion
Frequency of rotation in a uniform circular motion
Angular displacement in a uniform circular motion
Angular velocity in a uniform circular motion
Tangential velocity in a uniform circular motion
Centripetal acceleration in a uniform circular motion

A positive number in the calculated result indicates an anticlockwise direction of rotation.

Uniform Circular Motion Calculator
🖹 Normal View🗖 Full Page View
Calculator Precision (Decimal Places)
Radius of curvature (r) m
Time of rotation (t) s
Number of rotations (N)
Pi (π)

Uniform Circular Motion Calculator Results (detailed calculations and formula below)
Period of rotation calculation
The period of rotation in a uniform circular motion is s
The frequency of rotation in a uniform circular motion is Hz
The angular displacement in a uniform circular motion is rad
The angular velocity in a uniform circular motion is rad/s
The tangential velocity in a uniform circular motion is m/s
The centripetal acceleration in a uniform circular motion is m/s²
T = t/N T = t/ T =
Frequency of rotation calculation
f = N/t f = / f =
Angular displacement calculation
φ = N × 2 × π φ = × 2 × φ =
Angular velocity calculation
ω = N × 2 × π/t ω = × 2 × / ω = / ω =
Tangential velocity calculation
v = r × N × 2 × π/t v = × × 2 × / v = / v =
Centripetal acceleration calculation
a_C = r × N × 2 × π/t²/r a_C = × × 2 × /²/ a_C = /²/ a_C = ²/ a_C = / a_C =
Uniform Circular Motion Calculator Input Values
Radius of curvature (r) m
Time of rotation (t) s
Number of rotations (N)
Pi (π)

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

We hope you found the Uniform Circular Motion Calculator useful with your Physics revision, if you did, we kindly request that you rate this Physics calculator and, if you have time, share to your favourite social network. This allows us to allocate future resource and keep these Physics calculators and educational material free for all to use across the globe. We believe everyone should have free access to Physics educational material, by sharing you help us reach all Physics students and those interested in Physics across the globe.

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

★★★★★ [ 68 Votes ]

Discover Physics with free Physics Revision Notes and Physics Calculator: Uniform Circular Motion. This image shows the properties and uniform circular motion formula for the Uniform Circular Motion. This calculator will calculate the period of rotation, frequency of rotation, angular displacement, angular velocity, tangential velocity and the centripetal acceleration in a uniform circular motion

Period of rotation Formula and Calculation

T = t/N

Frequency of rotation Formula and Calculation

f = N/t

Angular displacement Formula and Calculation

φ = N × 2 × π

Angular velocity Formula and Calculation

ω = N × 2 × π/t

Tangential velocity Formula and Calculation

v = r × N × 2 × π/t

Centripetal acceleration Formula and Calculation

a_C = r × N × 2 × π/t²/r

Or, if you already have the value of tangential velocity, the centripetal acceleration can be shorted to:

a_C = v²/r

Where v = tangential velocity

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.

Physics Calculators

You may also find the following Physics calculators useful.

Menu