A bucket filled with water has a mass of 20.0 kg and is attached to a rope,which in turn,is wound around a 0.050-m radius cylinder at the top of a well.What torque does the weight of water and bucket produce on the cylinder if the cylinder is not permitted to rotate? (g = 9.80 m/s²) A)19.6 N·m B)9.8 N·m C)1.00 N·m D)400 N·m E)196 N·m

Question

Quizplus · Accepted Answer

The torque produced by the weight of the bucket and water can be calculated by multiplying the weight (mass × gravity) by the lever arm (radius of the cylinder).

Weight of bucket and water = mass × gravity = 20.0 kg × 9.80 m/s² = 196 N

Lever arm = 0.050 m

Torque = weight × lever arm = (20.0 kg × 9.80 m/s²) × 0.050 m = 9.8 N·m

Since the cylinder is not permitted to rotate, the torque produced by the weight of the bucket and water will be equal and opposite to the torque produced by the tension in the rope.

A Bucket Filled with Water Has a Mass of 20