__Angular Force Calculator:__

__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:__

__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)} * v^{2}_{(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:__

__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)} * v^{2}_{(m/s)} / r_{(m)}

F_{(N)} = 2 * 10^{2} / 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)} * v^{2}_{(m/s)} / r_{(m)}

v^{2}_{(m/s)} _{ }= F_{(N) }* r_{(m) }/ m_{(kg)}

v^{2}_{(m/s)} = 500 * 10 / 25

v_{(m/s)} = √200

v_{(m/s)} = 14.14m/s.

__Angular Motion and Torque:__

__Angular Motion and Torque:__