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.

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, T_w(N.m) in Newton metres, is calculated by multiplying the force, F_(N) in Newton, Wrench length, R_(m) in metres and angle, a_f between the force direction and the wrench handle in degrees.

Wrench Torque, T_w(N.m) = F_(N) * sin(a_f) * R_(m)

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

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

a_f = 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, a_f = 45degree, R_(m) = 0.5m.

Wrench Torque, T_w(N.m) = F_(N) * sin(a_f) * R_(m)

T_w(N.m)  = 300 * sin(45) * 0.5

T_w(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: T_w(N.m) = 50N, a_f = 45degree, R_(m) = 0.5m.

Wrench Torque, T_w(N.m) = F_(N) * sin(a_f) * R_(m)

50 = F_(N)  * sin(30) * 0.4

F_(N) = 250N.

How to Calculate Torque Wrench Extension: