# Magnitude of Torque Calculator, Formula, Magnitude of Torque Calculation

## 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.

 Enter Force Applied: N Enter Lever Arm Length: m Enter Angle Between the Force Direction and the Lever Arm: degrees Result – Magnitude of Torque: N.m

## 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, Tm(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, Tm(N.m) = F(N) * r(m) * sin(a)

Tm(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, Tm(N.m) = F(N) * r(m) * sin(a)

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

Tm(N.m) = 42.42N.m.

1. 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, Tm(N.m) = 64.95N.m, a = 60degrees.

Torque magnitude, Tm(N.m) = F(N) * r(m) * sin(a)

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

r(m) = 0.5m.