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1. A ceiling fan is turned on and a net torque of 1.8 N · m is applied to the bl

ID: 1795909 • Letter: 1

Question

1. A ceiling fan is turned on and a net torque of 1.8 N · m is applied to the blades. The blades have a total moment of inertia of 0.20 kg · m2. What is the angular acceleration of the blades?
rad/s2

2. The wheels, axle, and handles of a wheelbarrow weigh W = 66.5 N. The load chamber and its contents weigh WL = 637 N. The drawing shows these two forces in two different wheelbarrow designs. To support the wheelbarrow in equilibrium, the man's hands apply a force to the handles that is directed vertically upward. Consider a rotational axis at the point where the tire contacts the ground, directed perpendicular to the plane of the paper. Find the magnitude of the man's force for both designs.

(a) F =  
(b) F =  

Explanation / Answer

1.

Net torque is given by:

Net torque = Moment of inertia*angular acceleration

T = I*alpha

alpha = T/I

using given values:

alpha = 1.8 N-m/(0.2 kg-m^2)

alpha = 9 rad/sec^2