Centrifugal G Force Calculator:
Enter the values of tangential velocity, V(m/s), radius of the circular path, r(m) and acceleration due to gravity, G(m/s2) to determine the value of centrifugal G force, Fgc(N).
Centrifugal G Force Formula:
Centrifugal G-force is a measure of the outward force on a mass as it moves in a circular path.
Centrifugal G force, Fgc(N) in Newton is equated by dividing the product of square of tangential velocity, V(m/s) in metre per second by radius of the circular path, r(m) in metres and acceleration due to gravity, G(m/s2) in metre per second squared.
Centrifugal G force, Fgc(N) = V2(m/s) / r(m) * G(m/s2)
Fgc(N) = centrifugal G force in Newton, N.
V(m/s) = tangential velocity in metre per second, m/s.
r(m) = radius of the circular path in metre, m.
G(m/s2) = acceleration due to gravity in metre per second squared, m/s2. (9.81 m/s2 on the surface of the Earth)
Centrifugal G Force Calculation:
1. A high-speed train is traveling at a speed of 90 metres per second (m/s) around a curve with a radius of 1,000 metres. Calculate the centrifugal G-force experienced by the passengers.
Given: V(m/s) = 90m/s, r(m) =1000m, G(m/s2) = 9.81m/s2.
Centrifugal G force, Fgc(N) = V2(m/s) / r(m) * G(m/s2)
Fgc(N) = 902 / 1000 * 9.81
Fgc(N) = 0.826N.
2. The centrifugal force is 2, the velocity is 20 m/s, and the acceleration due to gravity, is approximately 9.81m/s2.
Given: V(m/s) = 20m/s, Fgc(N) = 2N, G(m/s2) = 9.81m/s2.
Centrifugal G force, Fgc(N) = V2(m/s) / r(m) * G(m/s2)
r(m) = V2(m/s) / Fgc(N) * G(m/s2)
r(m) = 202 / 2 * 9.81
r(m) = 20.39m.