__Magnitude of Torque Calculator:__

__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:__

__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:__

__Magnitude of Torque Calculator:__

- 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.

- 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:__

__Torque Magnitudes:__