Tension to Torque Calculator, Formula, Tension to Torque Calculation

Tension to Torque Calculator:

Enter the values of Tension Force, T_f(N) and radius, r_(m) to calculate the Tension to Torque, T_t(N.m).

Tension to Torque Formula:

The tension to torque formula is essential for understanding the relationship between the tension applied to a system, such as a cable or belt, and the resulting torque on a pulley or wheel around which the tension is applied.

Tension to Torque, T_t(N.m), in Newton metres, is calculated by multiplying the tension force, T_f(N), applied in Newtons by the radius, r_(m), in metres of the pulley or wheel over which the tension is applied.

Tension to Torque, T_t(N.m) = T_f(N) * r_(m)

T_t(N.m) = torque to tension in Newton metres, N.m.

T_f(N) = tension force in Newton, N.

r_(m) = radius in metres, m.

Tension to Torque Calculation:

1. Imagine a cyclist applies a tension of 200N to the bicycle chain, which then acts on a chainring of 0.1 metres radius. Determine the torque transmitted to the chainring.

Given: T_f(N) = 200N, r_(m) = 0.1m.

Tension to Torque, T_t(N.m) = T_f(N) * r_(m)

T_t(N.m) = 200 * 0.1

T_t(N.m) = 20N.m.

2. In an engine, the timing belt acquires the torque of 25N.m to a pulley with a radius of 0.05 meters. Calculate the tension applies on the pulley.

Given: T_t(N) = 25N.m, r_(m) = 0.05m.

Tension to Torque, T_t(N.m) = T_f(N) * r_(m)

T_f(N) = T_t(N.m) / r_(m)

T_f(N) = 25 / 0.05

T_f(N) = 500N.

Calculate Torque in a Sprocket or Pulley Given Belt or Chain Tension