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Question: pulley system bucket water stream tubing axle pipe handle the...

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pulley system bucket water stream tubing axle pipe handle The above figure is an image based on the Childrens Museum contraption discussed in class. The basic idea is that a child turns the handle shown and moves the bucket upward. Once the bucket is in the desired spot a valve is released and the water moves from the bucket and shoots out the pipe. Children can decide how much water to put into the bucket, and how high to lift the bucket, but for this case you can assume the bucket is full and is at the height shown An average 2-6-year-old child can put forth 20 N of force to turn the handle. If the height of the water (h) reaches 0.5 m, and the distance between the bottom of the bucket and the exit of the pipe (x) is 0.75 m, what must the radius of the handle the child moves be? You are also given the following dimensions: diameter of bucketdb 30 cm *bucket can be assumed to be a uniform cylinder diameter of tubing from bucket- dt 4 cm diameter of pipe before fountain-dp 2 cm radius of axle attached to handle ra 1 cnm mass of empty bucket mb 0.5 kg density of water 1000 kg/m gravity 9.81 m/s2 Assume: No losses (from both fluid and other mechanical parts), incompressible, and steady. The weight of the tubing is negligible. Also assume that the picture above is an instant in time Additional Question: If you were to consider losses, what would those losses be and how would they affect the system?

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