# Braking Torque Calculator, Formula, Braking Torque Calculation

## Braking Torque Calculator:

Enter the values of load torque TL(N.m), the inertial torque TI(N.m) and friction torque TF(N.m) to generate the value of the braking torque, Tb(N.m).

 Enter Load Torque: N.m Enter Inertial Torque: N.m Enter Friction Torque: N.m Result – Braking Torque: N.m

## Braking Torque Formula:

Braking torque, denoted as Tb, is a measure of the torque applied by a braking system to slow down or stop the rotation of a wheel or shaft. It is a critical parameter in the design and operation of various mechanical and automotive systems, ensuring safety and efficiency in operations.

The braking torque Tb(N.m) in Newton metres is the sum of the load torque TL(N.m) in Newton metres, the inertial torque TI(N.m) in Newton metres, and the negative friction torque TF(N.m) in Newton metres, which acts in the opposite direction.

The braking torque Tb(N.m) = TL(N.m) + TI(N.m) – TF(N.m)

Tb(N.m) = braking torque in Newton metres, N.m.

TL(N.m) = Load Torque in Newton metres, N.m.

TI(N.m) = Inertial Torque in Newton metres, N.m.

TF(N.m) = Friction Torque in Newton metres, N.m, acting in the opposite direction to the applied torque.

### Braking Torque Calculation:

1. A vehicle needs to come to a stop from a certain speed, requiring a braking torque of 200N.m. The load torque due to the vehicle’s weight and road inclination contributes 120N.m, and the inertial torque due to the vehicle’s deceleration contributes 90N.m. Calculate the required friction torque provided by the brakes.

Given: TL(N.m) = 120N.m, TI(N.m) = 90N.m, Tb(N.m) = 200N.m

The braking torque, Tb(N.m) = TL(N.m) + TI(N.m) – TF(N.m)

TF(N.m) = TL(N.m) + TI(N.m) – Tb(N.m)

TF(N.m)  = 120 + 90 – 200

TF(N.m)  = 10N.m.

1. During an emergency braking scenario, a vehicle’s braking system needs to exert an effective braking torque to ensure the vehicle comes to a halt safely and promptly. The vehicle’s deceleration generates an inertial torque of 220N.m, and the slope of the road contributes to the load torque and frictional torque of 180N.m and 30N.m. Given the following parameters, calculate the total braking torque required.
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Given: TL(N.m) = 180N.m, TI(N.m) = 220N.m, TF(N.m) = 30N.m

The braking torque, Tb(N.m) = TL(N.m) + TI(N.m) – TF(N.m)

Tb(N.m) = 180 + 200 – 30

Tb(N.m) = 370N.m.