Work Done by Torque Calculator, Formula, Work Done by Torque Calculation

Work done by Torque Calculator:

Enter the values of torque, t(N.m) applied and angle of rotations, d(ϴ)(rad) to determine the value of work done by torque, Wt(J).

Enter Torque Applied: N.m
Enter Angle of Rotations: rad
   
Result – Workdone by Torque: J

Work done by Torque Formula:

Work done by torque refers to the amount of energy transferred through the application of a torque over a certain angle of rotation.

Work done by torque, Wt(J) is calculated by the product of torque, t(N.m) applied in newton metres and angle of rotations, d(ϴ)(rad) in radians.

Work done by torque, Wt(J) = t(N.m) * d(ϴ)(rad)

Wt(J) = workdone by torque in joules, J.

t(N.m) = torque applied in Newton metres, N.m.

d(ϴ)(rad) = angle of rotations in radians, rad.

Work done by Torque Calculation:

  1. A mechanic applies a torque of 25 N·m to a nut using a wrench. If the nut rotates through an angle of 90 degrees as it tightens, calculate the work done by the torque.
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Given: t(N.m) = 25N.m., d(ϴ)(rad) = 90degrees

Work done by torque, Wt(J) = t(N.m) * d(ϴ)(rad)

Angle of rotation, d(ϴ)(rad) = 90(degree) = pi/2

Wt(J) = 25 * 1.57

Wt(J) =39.27J

  1. During a maintenance check, the work done by torque is 47.12J to a bolt to ensure it’s properly secured. If the bolt is turned through an angle of 60 degrees, find the torque needed to be applied.

Given: Wt(J) = 47.12J, d(ϴ)(rad) = 60degrees

Work done by torque, Wt(J) = t(N.m) * d(ϴ)(rad)

Angle of rotation, d(ϴ)(rad) = 90(degree) = pi/3 radians

t(N.m) = Wt(J) / d(ϴ)(rad)

t(N.m) = 47.12 / 1.046

t(N.m) = 45N.m.

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