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Uniform Circular Motion Calculator

The Uniform Circular Motion Calculator calculator will calculate:

  1. Period of rotation in a uniform circular motion
  2. Frequency of rotation in a uniform circular motion
  3. Angular displacement in a uniform circular motion
  4. Angular velocity in a uniform circular motion
  5. Tangential velocity in a uniform circular motion
  6. Centripetal acceleration in a uniform circular motion

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

Uniform Circular Motion Calculator
Uniform Circular Motion Calculator Results (detailed calculations and formula below)
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
Period of rotation calculation
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
aC = r × N × 2 × π/t2/r
aC = × × 2 × /2/
aC = /2/
aC = 2/
aC = /
aC =
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.

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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

Related Physics Chapters with Tutorials

Section 3: Kinematics

Section 4: Dynamics

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

aC = r × N × 2 × π/t2/r

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

aC = 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.

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