What force must be applied to an 0.8 ft long torque wrench that is the force applied to an 0.5 ft long torque wrench?

Question

What force (in pounds) must be applied to an 0.8 ft long torque
wrench to achieve the same torque generated by a 100 lb force
applied to an 0.5 ft long torque wrench?

Answer 1

Torque is in units of Force x Distance (assuming that force is applied in a direction that is perpendicular to the distance given)

Knowing that, we have an equation, T = F x D, and the problem gives us a torque that is equal to 100 lb * 0.5 feet

So T = 100 x 0.5 = 50 ftlbs

Given a different distance, but the same torque, we can plug in 50 ftlbs for T and 0.8 ft for D

50 fltbs = F x 0.8 ft

And solving for F is easy as dividing both sides by 0.8

F = 62.5 lbs