Question

if the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 46 N*m, what minimum force must be exerted by the mechanic at the end of a 21 cm-long wrench to loosen the nut? answer on units of N.

Answer 1

Hi there!

Recall the equation for torque:

`\large\boxed{\Sigma \tau = rF}`

∑τ = Net Torque (Nm)

r = lever arm (m)

F = Force (N)

Rearrange to solve for force:

`F = (\tau)/(r)`

Plug in the givens:

`F = (45)/(0.21) = \boxed{219.05 N}`