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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.

Respuesta :

Answer:

[tex]F=477.6831\ N[/tex]

Explanation:

Given:

  • tightening torque required, [tex]T=1\ N.m[/tex]
  • length of the wrench used, [tex]l=0.04\ m[/tex]
  • direction of the force applied to the wrench, [tex]\theta=3^{\circ}[/tex]

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]

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