Displacement to Torque Calculator:
Enter the values of work done, W(J), radius, r(m) and displacement, d(m) to determine the value of displacement to torque, T(N.m).
Displacement to Torque Calculator:
Displacement to torque refers to the conversion of linear force applied over a distance (displacement) into rotational force (torque) around a pivot point.
Displacement to torque, T(N.m) in Newton metres is equated by dividing the product of work done, W(J) in joules and radius, r(m) in metres by displacement, d(m) in metres.
Displacement to torque, T(N.m) = W(J) * r(m) / d(m)
T(N.m) = displacement to torque in Newton metres, N.m.
W(J) = workdone in joules, J.
r(m) = radius in metres, m.
d(m) = displacement in metres, m.
Displacement to Torque Calculation:
1. If a force of 100 N is applied to move an object 2 metres, and this force is applied at the end of a lever 0.5 metres long, calculate the torque produced at the pivot point of the lever.
Given: F(N) = 100N, d(m) = 2m, r(m) = 0.5m.
First, calculate the work done: W(J) = F(N) * d(m) = 100 * 2 = 200J
Displacement to torque, T(N.m) = W(J) * r(m) / d(m)
T(N.m) = 200 * 0.5 / 2
T(N.m) = 50N.m.
2. Consider a scenario where 500 Joules of work is required to move a gate. The displacement of the handle along its arc is 3 meters and the torque applied at the hinge to move the gate is 166.67N.m. Determine the force is applied via a handle away from the hinge (pivot point).
Given: W(J) = 500J, d(m) = 3m, T(N.m) = 166.67N.m.
Displacement to torque, T(N.m) = W(J) * r(m) / d(m)
r(m) = T(N.m) * d(m) / W(J)
r(m) = 166.67 * 3 / 500
r(m) = 1m.