__Tension to Torque Calculator:__

__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:__

__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:__

__Tension to Torque Calculation:__

- 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.

- 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.