Torsion Spring Torque Calculator, Formula, Torsion Spring Torque Calculation

Torsion Spring Torque Calculator:

Enter the values of total angular displacement, D_(rad) and torsion spring rating, TSR_(N.m/rad) to generate the value of torsion spring torque, T_ts(N.m).

Torsion Spring Torque Formula:

Torsion spring torque measures the rotational force generated by a torsion spring when it is twisted.

Torsion spring torque, T_ts(N.m) in Newton metre is calculated by the product of total angular displacement, D_(rad) in radians and torsion spring rating, TSR_(N.m/rad) in Newton metres per radians.

Torsion spring torque, T_ts(N.m) = D_(rad) * TSR_(N.m/rad)  

T_ts(N.m) = torsion spring torque in Newton metres, N.m.

D_(rad) = total angular displacement in radians, rad.

TSR_(N.m/rad) = torsion spring rating in Newton metre per radian.

Torsion Spring Torque Calculation:

1. Suppose a torsion spring in a mechanical clock is twisted through an angle of 0.5 radians. If the spring rate is 0.8 N.m/radian, calculate the torque exerted by the spring.

Given: D_(rad) = 0.5rad, TSR_(N.m/rad) = 0.8N.m/rad

Torsion spring torque, T_ts(N.m) = D_(rad) * TSR_(N.m/rad)  

T_ts(N.m) = 0.5 * 0.8

T_ts(N.m) = 0.4N.m.

2. A garage door torsion spring is twisted to a deflection of 2 radians to lift the door. If the torsion spring torque required to balance and hold the door open is 10 N.m, what is the spring rate of the torsion spring?

Given: D_(rad) = 2rad, T_ts(N.m) = 10N.m.

Torsion spring torque, T_ts(N.m) = D_(rad) * TSR_(N.m/rad)  

TSR_(N.m/rad) = T_ts(N.m) / D_(rad)

TSR_(N.m/rad) = 10 / 2

TSR_(N.m/rad) = 5N.m/rad.

Torsion spring design