Question

When tightening a bolt, you push perpendicularly on a wrench with a force of 165 N at a distance of 0.140 m from the center of the bolt. How much torque are you exerting relative to the center of the bolt?

a) 23.1 N·m
b) 11.55 N·m
c) 165 N·m
d) 2.31 N·m

Answer 1

The torque exerted when tightening a bolt with a 165 N force at a 0.140 m distance from the bolt's center is 23.1 N·m, which converts to 17.03 ft·lb.

Step-by-step explanation:

When tightening a bolt by pushing perpendicularly on a wrench, the amount of torque exerted is calculated using the formula:

Torque = Force x Distance

In this case, the force applied is 165 Newtons (N), and the distance from the center of the bolt is 0.140 meters (m). Substituting these values into the formula gives us:

Torque = 165 N x 0.140 m = 23.1 Newton-meters (N·m)

To convert the torque from Newton-meters to foot-pounds (ft·lb), we use the conversion factor 1 N·m = 0.73756 ft·lb:

Torque in ft·lb = 23.1 N·m x 0.73756 ft·lb/N·m = 17.03 foot-pounds