Centripetal Force Calculator
Find the centripetal force and acceleration that keep an object moving in a circle, from its mass, speed (or rpm) and radius.
Centripetal force
8,000 N (1,798.47 lbf)
- Centripetal acceleration
- 8 m/s² (0.815773 g)
- Speed
- 20 m/s (72 km/h, 44.7387 mph)
- Angular velocity
- 0.4 rad/s (3.81972 rpm)
- Time per revolution
- 15.708 s
Show the work
Angular velocity
ω = v ÷ r
20 ÷ 50 = 0.4 rad/s
Centripetal acceleration
a = ω to the power of 2 × r
0.4 to the power of 2 × 50 = 8 m/s²
Force = mass × acceleration
F = m × a
1,000 × 8 = 8,000 N (1,798.47 lbf)
How it works
F = mv² ÷ r · a = v² ÷ r = ω²r · ω = v ÷ r
Questions
- How does the centripetal force calculator work?
- F = mv² ÷ r · a = v² ÷ r = ω²r · ω = v ÷ r.
- What do I need to enter?
- Mass, Mass unit, Speed given as, Speed, Speed unit, Revolutions per minute, Radius, Radius unit. Optional fields can be left blank.
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