Magnitude of Torque Calculator:

Enter the values of Force in Newtons, lever arm length in meters, and angle in degrees to calculate the Magnitude of Torque in Newton meters.

Magnitude of Torque Formula:

The magnitude of torque formula calculates the rotational force applied at a distance from the pivot point, incorporating the angle between the force direction and the lever arm.

Torque magnitude, T_m(N.m) in Newton meters, is calculated by multiplying the force applied, F_(N) by the lever arm length, r_(m) ,and the sine of the angle sin(a) between the force direction and the lever arm.

Torque magnitude, T_m(N.m) = F_{(N) *} r_(m) * sin(a)

T_m(N.m) = Magnitude of Torque in Newton meters,

F_(N)  = Force applied in Newtons,

r_(m)  = Lever arm length in meters,

sin(a)= Angle between the force direction and the lever arm in degrees.

Magnitude of Torque Calculator:

1. A mechanic applies a force of 200N at the end of a wrench 0.3 metres long. If the angle

between the wrench and the direction of force application is 45 degrees, calculate the magnitude of torque.

Given: F_(N) = 200N, r_(m) = 0.3m, a = 45degrees.

 Torque magnitude, T_m(N.m) = F_{(N) *} r_(m) * sin(a)

  T_m(N.m) = 200 * 0.3 * sin(45degrees)

T_m(N.m) = 42.42N.m.

2. If a force of 150N is applied at an angle of 60 degrees to the lever, the magnitude of the torque is 64.95N.m, find the lever arm length in metres.

Given: F_(N) = 150N, T_m(N.m) = 64.95N.m, a = 60degrees.

  Torque magnitude, T_m(N.m) = F_{(N) *} r_(m) * sin(a)

64.95 = 150 * r_(m) * sin(60degrees)

r_(m) = 0.5m.

Torque Magnitudes: