Question

A bolt is to be tightened with a torque of 7.0 N · m. If you have a wrench that is 0.55 m long, what is the least amount of force you must exert?

Answer 1

To solve this problem we will apply the given concept for torque which explains the relationship between the force applied and the distance to a given point. Mathematically this relationship is given as

$\tau = F*d \rightarrow F = \frac{\tau}{d}$

Where,

$\tau =$ Torque

F = Force

d = Distance

Our values are given as,

$\tau = 7.0Nm , d = 0.55m$

Therefore replacing we have that the force is

$F = \frac{7}{0.55}$

F = 12.72N

Therefore the least amount of force that you must exert is 12.72N