A bucket filled with water has a mass of 24 kg and is attached to a rope,which in turn,is wound around a 0.070-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 = 9.8 m/s²) A) 32 N·m B) 16 N·m C) 2 N·m D) 343 N·m E) 235 N·m

Question

Quizplus · Accepted Answer

The torque produced by the weight of the bucket and water can be calculated using the formula:

torque = force x distance

First, we need to find the force exerted by the weight of the bucket and water. This can be calculated using the formula:

force = mass x gravity

where gravity is the acceleration due to gravity, g = 9.8 m/s^2.

force = 24 kg x 9.8 m/s^2 = 235.2 N

Next, we need to find the distance between the center of the cylinder and the point where the bucket is attached to the rope. This distance is equal to the radius of the cylinder, which is given as 0.070 m.

Now we can calculate the torque:

torque = force x distance = 235.2 N x 0.070 m = 16.464 N·m

Therefore, the best choice is B, with a torque of 16 N·m.

A Bucket Filled with Water Has a Mass of 24