Centripetal force calculator
Anything moving in a circle is accelerating toward the centre, and something has to supply that force.
Centripetal force
15 000N
- Centripetal acceleration
- 12.5 m/s2
- Lateral g
- 1.2746
- Banking angle for no side load
- 51.885 degrees
- Time for one full circle
- 12.5664 s
- Revolutions per minute
- 4.7746
Show the working
- Mass = 1200
- Speed = 25
- Radius = 50
- Centripetal acceleration = 25^2 / 50 = 12.5
- Centripetal force = 1200 * 12.5 = 15 000
- Lateral g = 12.5 / g0 = 1.274 65
- Banking angle for no side load = deg(atan(12.5 / g0)) = 51.8847
- Time for one full circle = 25 > 0 ? 2*pi*50/25 : 0 = 12.5664
- Revolutions per minute = 12.5664 > 0 ? 60/12.5664 : 0 = 4.774 65
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- a = v^2 / r
- F = m v^2 / r
- banking angle = arctan(v^2 / (g r))
Halving the radius doubles the force at the same speed, and the force goes as the square of speed.