Question

The tune up specifications of a car call for the spark plugs to be tightened to a torque of 42.0 Nm . You plan to tighten the plugs by pulling on the end of a 23.0 cm long wrench. Because of the cramped space under the hood, you'll need to pull at an angle of 105 with respect to the wrench shaft.

With what force must you pull?

Answer 1

189.05043 N

Step-by-step explanation:

L = Length of wrench = 23 cm

`\tau` = Torque applied = 42 Nm

`\theta` = Angle with the horizontal = 105°

F = Force applied

Torque is given by

`\tau=LFsin\theta\\\Rightarrow F=(\tau)/(Lsin\theta)\\\Rightarrow F=(42)/(0.23* sin105)\\\Rightarrow F=189.05043\ N`

The pulling force must be 189.05043 N