Question

Ned tightens a bolt in his car engine by exerting 15 N of force on his wrench at a distance of 0.45m from the fulcrum. How much torque must Ned produce to turn the bolt?

Answer 1

`T = 6.75\,N\cdot m`

Step-by-step explanation:

Vectorially speaking, torque is the cross product between force and distance from fulcrum. Its magnitude is equal to the following expression:

`T = F\cdot r \cdot \sin \theta`

`T = F_(\bot) \cdot r`

Let assume that force is perpendicular to the distance from the fulcrum. So, the torque needed to turn the bolt is:

`T = (15\,N)\cdot (0.45\,m)`

`T = 6.75\,N\cdot m`