Question

a lever must be rotated with a torque of 25 n m around one of its ends. how far from the pivot point must a 20 n force be applied perpendicularly to achieve the desired torque?

Answer 1

A 20 N force must be applied at a distance of 1.25 meters from the pivot point to achieve a torque of 25 N·m.

Step-by-step explanation:

To calculate how far from the pivot point a force must be applied to achieve a particular torque, we can use the formula τ = r × F, where τ is the torque, r is the distance from the pivot point to where the force is applied, and F is the force.

In this case, to achieve a torque (t) of 25 N·m with a force (F) of 20 N, we can rearrange the formula to solve for r: r = τ / F.

Substituting the given values gives us r = 25 N·m / 20 N = 1.25 m.

Therefore, a force of 20 N must be applied 1.25 meters from the pivot point to produce a torque of 25 N·m.