# Frictional Torque Calculator, Formula, Frictional Torque Calculation

## Frictional Torque Calculator:

Enter the values of normal force, N(N) applied, the coefficient of friction, u and radius, r(m) to determine the value of the frictional torque, Tf(N.m).

 Enter Normal Force: N Enter Coefficient of Friction: Enter Radius: m Result – Frictional Torque: N.m

## Frictional Torque Formula:

Frictional torque, Tf(N.m), is the torque caused by the frictional force acting at a distance from the pivot point or axis of rotation. This type of torque is significant in various mechanical and engineering applications, as it affects the efficiency and operational capability of rotating systems like motors, wheels, and gears.

Frictional Torque, Tf(N.m) in Newton metres, is calculated by multiplying the normal force, N(N) applied in Newtons, by the coefficient of friction, u (a dimensionless quantity), and by the radius, r(m) in metre, from the pivot point to the point where the force is applied.

Frictional Torque, Tf(N.m) = N(N) * u * r(m)

Tf(N.m) = Frictional torque in Newton metres, N.m.

N(N) = normal force in Newton, N.

u = coefficient of friction.

r(m) = radius in metre, m.

Frictional Torque Calculation:

1. A disk brake applies a normal force of 400N to stop a wheel, utilizing a brake pad with a coefficient of friction of 0.35 at a radius of 0.2 metres from the wheel’s center. Calculate the frictional torque exerted by the brake pad on the wheel.

Given: N(N) = 400N, u = 0.35, r(m) = 0.2m.

Frictional Torque, Tf(N.m) = N(N) * u * r(m)

Tf(N.m) = 400 * 0.35 * 0.2

Tf(N.m) =  28N.m

2. To tighten a bolt, generated frictional torque is 36N.m through a wrench, with a coefficient of friction of 0.2 between the wrench and the bolt, at a distance of 0.3 metres from the bolt’s center. Find the applied normal force.

Given: Tf(N.m) = 36N.m, u = 0.2, r(m) = 0.3m.

Frictional Torque, Tf(N.m) = N(N) * u * r(m)

N(N) =  Tf(N.m) / u * r(m)

N(N) = 36 / 0.2 * 0.3

N(N) = 600N.