Circular Motion Calculator: Centripetal Force, Velocity, and Period

Calculate Your Circular Motion Parameters

Enter mass of the object in kilograms (kg).
Enter radius of the circular path in meters (m).
Select the primary kinematic variable you know.

Easily calculate key parameters of circular motion including centripetal force, tangential velocity, angular velocity, period, and centripetal acceleration. Essential for physics students and engineers understanding objects moving in a circular path.

Formula:

Centripetal Force (Fc): Fc = m × v2 / r
Centripetal Acceleration (ac): ac = v2 / r = ω2 × r
Tangential Velocity (v): v = ω × r = 2 π r / T
Angular Velocity (ω): ω = v / r = 2 π / T
Period (T): T = 2 π r / v = 2 π / ω
Frequency (f): f = 1 / T

Where:
m = mass (kg)
r = radius (m)
v = tangential velocity (m/s)
ω = angular velocity (rad/s)
T = period (s)
f = frequency (Hz)
Fc = centripetal force (N)
ac = centripetal acceleration (m/s2)

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