Question

The tune-up specifications of a car call for the spark plugs to be tightened to a torque of 40 N⋅m . You plan to tighten the plugs by pulling on the end of a 30-cm-long wrench. Because of the cramped space under the hood, you'll need to pull at an angle of 115 ∘ with respect to the wrench shaft. With what force must you pull?

Answer 1

Force required to pull is equal to 147.167 N

Step-by-step explanation:

Torque is given
`\tau =40Nm`

Length of wrench l =30 cm = 0.3 m

Angle with wrench shaft
`\Theta =115^(\circ)`

We have to find the force with which you pull

Torque is equal to
`\tau =F* lsin\Theta`

`40=F* 0.3* sin115^(\circ)`

`40=F* 0.3* 0.906`

F = 147.167 N

So force required to pull is equal to 147.167 N