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

Answer:

$T = 6.75\,N\cdot m$

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:

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

$T = 6.75\,N\cdot m$