Angular Force Calculator:
Enter the values of mass of the object, m(kg), velocity of the object, v(m/s) and radius of the circular path, r(m) to determine the value of angular force, F(N).
Angular Force Formula:
The angular force formula is essential for understanding the dynamics of objects moving in circular paths. It quantifies the necessary force to maintain an object’s circular motion at a constant speed.
Angular force, F(N) in Newtons is calculated by dividing the product of mass of the object, m(kg) in kilogram and velocity of the object, v(m/s) in metre per second by radius of the circular path, r(m) in metres.
Angular force, F(N) = m(kg) * v2(m/s) / r(m)
F(N) = angular force in Newton, N.
m(kg) = mass of the object in kilogram, kg.
v(m/s) = velocity of the object in metre per second, m/s.
r(m) = radius of the circular path in metre, m.
Angular Force Calculation:
1. Calculate the angular force required to keep a 2 kg object moving in a circle of radius 0.5 metres at a velocity of 10 m/s.
Given: m(kg) = 2kg, v(m/s) = 10m/s, r(m) = 0.5m.
Angular force, F(N) = m(kg) * v2(m/s) / r(m)
F(N) = 2 * 102 / 0.5
F(N) = 400N.
2. Given: Angular Force, F(N) =500N, Mass of the object, m(kg) =25kg and Radius of the circular path, r(m) =10m.
Angular force, F(N) = m(kg) * v2(m/s) / r(m)
v2(m/s) = F(N) * r(m) / m(kg)
v2(m/s) = 500 * 10 / 25
v(m/s) = √200
v(m/s) = 14.14m/s.