The mechanical power P delivered by a force F to a body moving at velocity v is:
Choose the correct answer
P = F/v
P = F x v x cos(theta) where theta is angle between F and v (scalar dot product F.v)
P = F x d (total work)
P = m x a x v^2
Correct Answer
B. P = F x v x cos(theta) where theta is angle between F and v (scalar dot product F.v)
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Power P = dW/dt = F . v = F v cos(theta). Units: Watts (W) = J/s = N.m/s. 1 horsepower = 745.7 W. Efficiency eta = P_output / P_input. In rotating machinery: P = Torque x Angular velocity = T x omega (omega in rad/s). At constant velocity, driving power = power dissipated by resistance.
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