The Uniform Circular Motion Calculator calculator will calculate:
A positive number in the calculated result indicates an anticlockwise direction of rotation.
|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/
|Frequency of rotation calculation|
|f = N/t|
f = /
|Angular displacement calculation|
|φ = N × 2 × π|
φ = × 2 ×
|Angular velocity calculation|
|ω = N × 2 × π/t|
ω = × 2 × /
ω = /
|Tangential velocity calculation|
|v = r × N × 2 × π/t|
v = × × 2 × /
v = /
|Centripetal acceleration calculation|
|aC = r × N × 2 × π/t2/r|
aC = × × 2 × /2/
aC = /2/
aC = 2/
aC = /
|Uniform Circular Motion Calculator Input Values|
|Radius of curvature (r) m|
|Time of rotation (t) s|
|Number of rotations (N)|
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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Or, if you already have the value of tangential velocity, the centripetal acceleration can be shorted to:
Where v = tangential velocity
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