Question #156050

Find the downward force applied 25 cm from the axis of rotation when the torque is found to be 23.75 Nm


Expert's answer

By definition, the torque τ\tau is the product of the force FF and the distance of the force application rr (if they are perpendicular). Thus, oobtain:


τ=Fr\tau = Fr

Since τ=23.75 N⋅m\tau = 23.75\space N\cdot m, and r=0.25mr = 0.25m, obtain the force:


F=τr=23.75 N⋅m0.25m=95NF = \dfrac{\tau}{r} = \dfrac{23.75\space N\cdot m}{0.25m} = 95N

Answer. 95 N.


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