Question

If a pipe effectively extends a wrench handle to three times its length, by how much will the torque increase for the same applied force?

Answer 1

When a pipe effectively extends a wrench handle, the torque increases threefold for the same applied force.

Step-by-step explanation:

When a pipe is effectively extended on a wrench handle, the torque increases. Torque is the measure of the rotational force applied to an object. By extending the length of the wrench handle, the force arm becomes longer. This results in a larger lever arm and therefore an increased torque for the same applied force.

For example, if the original length of the wrench handle is denoted by L and the force applied is denoted by F, the torque is given by T = L * F. If a pipe extends the wrench handle to three times its length, the torque becomes T' = (3L) * F = 3T. Therefore, the torque increases threefold for the same applied force.