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A wrench 0.500m long is applied to a nut with a force of 80.0N. Because of the cramped space, the force must be exerted upward and at an angle of 60.0 degrees, with respect to a line from the bolt through the end of the wrench. How much torque is applied to the nut

Respuesta :

Answer:

The torque applied to the nut is 34.6 N-m.

Explanation:

Given that,

Length of the wrench, l = 0.5 m

Force applied by the wrench, F = 80 N

The force must be exerted upward and at an angle of 60.0 degrees, with respect to a line from the bolt through the end of the wrench.

Torque applied to the nut is given by :

[tex]\tau=Fr\ \sin\theta\\\tau=80\times 0.5\ \sin(60)\\\tau=34.6\ N.m[/tex]

So, the torque applied to the nut is 34.6 N-m.

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