An ordinary lug-nut that keeps a tire firmly attached to a car is tightened unti

Question

An ordinary lug-nut that keeps a tire firmly attached to a car is tightened until the lug-nut resists the 120 lbs (27 N) of force. Thus, you would need to apply 120 + lbs of force to re-loosen the nut. Calculate the amount of torque necessary to loosen the lug-nut under the minimum amount of applied force. Assume the distance between the lug-nut and your hand on the tire iron is 0.381 m.

Sometimes lug-nuts get stuck and a 'cheater bar' is used which extends the distance between the nut and your hand.

a) explain the physics behind this procedure.

b) calculate the new torque generated if the cheater bar adds an additional 1.0 m to the distance between the nut and your hand for the setip in the first part of this problem.

Explanation / Answer

torque= 0.381 * 27 = 10.28 Nm

a . 

more the distance , easier is the procedure , since more distance means more torque for the same appled force .  

less the distance , tought the procudure , less distane means less torue

b. 

troue = 0.381 +1 * 27 = 37.2 N m 

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