You accidentally knock a full bucket of water oﬀ the side of the well. The bucket...

You accidentally knock a full bucket of water oﬀ the side of the well. The bucket plunges 15m to the bottom of the well. Attached to the bucket is a light rope that is wrapped around the crank cylinder. The cylinder has a radius of 0.080m and inertia of 4.0kg. Draw a force diagram. (a) How fast is the handle turning when the bucket hits the bottom? (b) How fast is the bucket moving as it hits the bottom? (c) For comparison, how fast would the bucket have been moving when it hit the bottom if it weren’t attached to the rope? The bucket with the water has a mass of 12 kg. please answer all questions and show all work.

Solutions

Expert Solution

a) fast is the handle turning = sqrt(2 * 9.8 * 0.080)

= 1.252 m/s

b) fast is the bucket moving = sqrt(2 * 9.8 * 0.045)

= 0.939 m/s

c) fast would the bucket have been moving = 1.252 + 14.52/4

= 4.882 m/s

genius_generous answered 1 year ago

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