Discussion
A hoist raises a 1,000 kg load at 0.5 m/s through a drum of 0.4 m radius. The load torque at the drum is nearest to
Answer: C
Correct answer: 3,924 N·m
The torque at the drum is the weight times the drum radius:
\[ T = mgr = 1000 \times 9.81 \times 0.4 = 3924 \ \mathrm{N\,m} \]The speed does not enter, which is what makes a hoist a constant-torque load. The 9,810 answer omits the radius and gives the force rather than the torque.
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