# Wrench Torque Calculator, Formula, Wrench Torque Calculation

## Wrench Torque Calculator:

Enter the values of Force in Newtons, angle in degrees, and wrench length in metres to calculate the Wrench Torque in Newton metres.

 Enter Force Applied: N Enter Angle Between the Force Direction and the Wrench Handle: f Enter Wrench Length: m Result – Wrench Torque: N.m

## Wrench Torque Formula:

The wrench torque formula is used to calculate the effective torque applied by a wrench, factoring in the force direction relative to the wrench’s handle. This measurement is crucial for ensuring proper tension and securing of nuts and bolts in mechanical assemblies.

Wrench Torque, Tw(N.m) in Newton metres, is calculated by multiplying the force, F(N) in Newton, Wrench length, R(m) in metres and angle, af between the force direction and the wrench handle in degrees.

Wrench Torque, Tw(N.m) = F(N) * sin(af) * R(m)

Tw(N.m) = Wrench Torque in Newton metres, N.m.

F(N) = Force applied in Newtons, N.

af = Angle between the force direction and the wrench handle in degrees,

R(m) = Wrench length in metres, m.

### Wrench Torque Calculation:

1. To achieve a specific tightness, a force of 300N is applied to the end of a 0.5-metre-long wrench, with the force direction making a 45-degree angle with the wrench handle. Find the torque exerted on the nut.

Given: F(N) = 300N, af = 45degree, R(m) = 0.5m.

Wrench Torque, Tw(N.m) = F(N) * sin(af) * R(m)

Tw(N.m)  = 300 * sin(45) * 0.5

Tw(N.m) = 106.07N.m.

2. A torque generated is 50N.m to a wrench at an angle of 30 degrees to the handle, where the length of the wrench is 0.4 meters. Calculate the force applied to the bolt.

Given: Tw(N.m) = 50N, af = 45degree, R(m) = 0.5m.

Wrench Torque, Tw(N.m) = F(N) * sin(af) * R(m)

50 = F(N)  * sin(30) * 0.4

F(N) = 250N.