# Tension to Torque Calculator, Formula, Tension to Torque Calculation

## Tension to Torque Calculator:

Enter the values of Tension Force, Tf(N) and radius, r(m) to calculate the Tension to Torque, Tt(N.m).

 Enter Tension Force: N Enter Radius: m Result – Torque to Tension: 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, Tt(N.m), in Newton metres, is calculated by multiplying the tension force, Tf(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, Tt(N.m) = Tf(N) * r(m)

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

Tf(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: Tf(N) = 200N, r(m) = 0.1m.

Tension to Torque, Tt(N.m) = Tf(N) * r(m)

Tt(N.m) = 200 * 0.1

Tt(N.m) = 20N.m.

1. 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: Tt(N) = 25N.m, r(m) = 0.05m.

Tension to Torque, Tt(N.m) = Tf(N) * r(m)

Tf(N) = Tt(N.m) / r(m)

Tf(N) = 25 / 0.05

Tf(N) = 500N.