A 95-N force exerted at the end of a 0.32-m long torque wrench produces a torque of 15 N • m. What is the angle (less than 90°) between the wrench handle and the direction of the applied force?

Respuesta :

Answer:

Angle between force exerted and handle of the wrench is 29.56 degree

Explanation:

We have given force exerted at the end of the wrench  F = 95 N m

Length of the wrench d = 0.32 m

Torque is given as [tex]\tau =15Nm[/tex]

Let the angle between wrench handle and force exerted is [tex]\Theta[/tex]

Torque is equal to [tex]\tau =Fsin\Theta \times d[/tex]

[tex]15=95\times sin\Theta \times 0.32[/tex]

[tex]sin\Theta =0.4932[/tex]

[tex]\Theta =29.56[/tex]

So angle between force exerted and handle of the wrench is 29.56 degree

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