Circular Motion Calculator

Your details

The radius of the circular path.
m
The time for one complete revolution (in seconds).
s
Enter mass to calculate centripetal force. Leave at 1 to see force per unit mass.
kg
Angular displacement for arc length calculation. Default is 90 degrees (quarter circle).
deg
Linear speed5.0 g - moderate
15.708

Tangential speed along the circular path

Frequency0.5Hz
Angular velocity3.1416rad/s
Centripetal acceleration49.348
Centripetal force49.348
Arc length7.854
_speedUnitm/s
_accelUnitm/s²
_forceUnitN
_arcUnitm
49.348 m/s²
Below 1 g<9.811-3 g9.81-29.433-6 g29.43-58.86Above 6 g58.86+

Angular velocity is 3.142 rad/s (0.500 Hz).

  • The object travels 15.708 m/s along the circular path, completing one full revolution every 2 seconds.
  • Centripetal acceleration is 49.348 m/s², equivalent to 5.03 g.
  • The net inward force needed is 49.348 N for the given mass.
  • The arc length for the chosen angle is 7.854 m.

Next stepCentripetal acceleration exceeds 5 g. In engineering contexts, check structural loading and material fatigue limits.

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