A 20.0 cm wrench is used to generate a torque at a bolt. A force of 50 N is applied at the end of the wrench at an angle of 60.0 degrees to the wrench. The torque generated at the bolt is A. 4.9 N•m. B. 5.7 N•m. C. 6.0 N•m. D. 7.5 N•m. E. 8.7 N•m.

Respuesta :

Answer:

The correct option is  E

Explanation:

From the question we are told that

   The length of the wrench which is also the radius of the circle made by the wrench  is  [tex]l =r = 20.0 \ cm = 0.2 \ m[/tex]

   The force is  [tex]F = 50 \ N[/tex]

    The angle is  [tex]\theta = 60^o[/tex]

Generally the torque generated by the bolt is mathematically represented as

     [tex]\tau = F * sin (\theta ) * r[/tex]

=>  [tex]\tau = 50 * sin (60 ) * 0.2[/tex]

=>  [tex]\tau = 8.7 \ N \cdot m[/tex]