__Torque to Force Calculator:__

__Torque to Force Calculator:__

Enter the values of torque, t_{(N.m)}, radius, r_{(m)} and sine of the angle, a to determine the value of torque to Force, F_{(N).}

__Torque to Force Formula:__

__Torque to Force Formula:__

The conversion from torque to force is essential in mechanics to understand how much linear force is generated from rotational force (torque) applied at a given radius and angle.

Torque to Force, F_{(N)} in Newtons, can be calculated by dividing the torque, t_{(N.m)} in Newton metres, by the product of the radius, r_{(m)} in metres and the sine of the angle, a between the force direction and a line perpendicular to the radius.

Torque to Force, F_{(N)} = t_{(N.m)} / r_{(m)} * sin(a)

F_{(N)} = force in Newtons, N.

t_{(N.m)} = torque in Newton metres, N.m.

r_{(m)} = radius in metres

a = angle between the force direction and a line perpendicular to the radius in degrees.

__Torque to Force Calculation:__

__Torque to Force Calculation:__

1. Given a torque of 120 N.m applied with a wrench of length 0.5 metres at an angle of 60 degrees to the perpendicular of the wrench handle, calculate the force exerted.

Given: t_{(N.m)} = 120N.m, r_{(m)} = 0.5m, a = 60degrees.

Torque to Force, F_{(N)} = t_{(N.m)} / r_{(m)} * sin(a)

F_{(N)} = 120 / 0.5 * sin(60)

F_{(N)} = 120 / 0.5 * 0.866

F_{(N)} =277.1 N.

2. A force of 200N is applied. The radius (distance from the pivot point to where the force is applied) is 0.4 metres. The angle, a between the force direction and a line perpendicular to the radius is 30 degrees and determine torque required.

Given: F_{(N)} =200 N., r_{(m)} = 0.4m, a = 30degrees.

Torque to Force, F_{(N)} = t_{(N.m)} / r_{(m)} * sin(a)

t_{(N.m)} = F_{(N) }* r_{(m)} * sin(a)

t_{(N.m)} = 200 * 0.4 * sin(30)

t_{(N.m)} = 200 * 0.4 * 0.5

t_{(N.m)} = 40N.m.

__Torque Force Times Lever Arm:__

__Torque Force Times Lever Arm:__