Question

If the torque required to loosen a nut holding
a wheel on a car is 33 N · m, what force must
be exerted at the end of a 0.25 m lug wrench
to loosen the nut when the angle is 57◦
?
Answer in units of N

Answer 1

Torque = force x lever arm length

here, the angle seems irrelevent

Answer 2

Torque = force * lever-arm-length * sin(the acute angle between arm and force)
so:


33=F*0.25*sin(57°) solving for F gives:

F=157 N

Answer 3

Thanks for the explanation.