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?

Respuesta :

Answer:

Force required to pull is equal to 147.167 N

Explanation:

Torque is given [tex]\tau =40Nm[/tex]

Length of wrench l =30 cm = 0.3 m

Angle with wrench shaft [tex]\Theta =115^{\circ}[/tex]

We have to find the force with which you pull

Torque is equal to [tex]\tau =F\times lsin\Theta[/tex]

[tex]40=F\times 0.3\times sin115^{\circ}[/tex]

[tex]40=F\times 0.3\times 0.906[/tex]

F = 147.167 N

So force required to pull is equal to 147.167 N