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Ned tightens a bolt in his car engine by exerting 15 N of force on his wrench at a distance of 0.45m from the fulcrum. How much torque must Ned produce to turn the bolt?

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xero099

Answer:

[tex]T = 6.75\,N\cdot m[/tex]

Explanation:

Vectorially speaking, torque is the cross product between force and distance from fulcrum. Its magnitude is equal to the following expression:

[tex]T = F\cdot r \cdot \sin \theta[/tex]

[tex]T = F_{\bot} \cdot r[/tex]

Let assume that force is perpendicular to the distance from the fulcrum. So, the torque needed to turn the bolt is:

[tex]T = (15\,N)\cdot (0.45\,m)[/tex]

[tex]T = 6.75\,N\cdot m[/tex]

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