The bolts on a car wheel require tightening to a torque of 1 N∙m. If a 4 cm long wrench is used, what is the magnitude of the force required when the force is applied at 3° to the wrench? Round your answer to the nearest Newton.
Question
Question
The bolts on a car wheel require tightening to a torque of 1 N∙m. If a 4 cm long wrench is used, what is the magnitude of the force required when the force is applied at 3° to the wrench? Round your answer to the nearest Newton.
Answer:
[tex]F=477.6831\ N[/tex]
Explanation:
Given:
As we know that the force when applied normal to the line of axis joining the hinge and the and point of application of force gives the maximum result.
So,
[tex]F.l\sin\theta=T[/tex]
where:
[tex]F=[/tex] force
[tex]F\times 0.04\times \sin3^{\circ}=1[/tex]
[tex]F=477.6831\ N[/tex]