A water-wheel has eight buckets equally spaced around its circumference as shown in the figure below. water empty bucket- full bucket 45° direction of rotation 1.6 m 9. water The distance between the centre of each bucket and the centre of the wheel is 1.6m. When a bucket is at its highest point, the bucket is filled with a mass of 40kg of water. The wheel rotates and the bucket is emptied at its lowest point. The wheel makes six revolutions per minute. (a) Calculate the total change in potential energy of the water in the buckets in one revolution of the wheel. (b) Calculate the average input power to the wheel. (c) Suggest why a larger number of small buckets is preferred to a smaller number of large buckets containing the same mass of water.

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A water-wheel has eight buckets equally spaced around its circumference as shown in the
figure below.
water
full bucket
empty bucket-
45°
direction
of rotation
1.6 m
water
The distance between the centre of each bucket and the centre of the wheel is 1.6m. When a
bucket is at its highest point, the bucket is filled with a mass of 40kg of water. The wheel
rotates and the bucket is emptied at its lowest point. The wheel makes six revolutions per
minute.
(a)
Calculate the total change in potential energy of the water in the buckets in one
revolution of the wheel.
(b)
Calculate the average input power to the wheel.
(c)
Suggest why a larger number of small buckets is preferred to a smaller number of
large buckets containing the same mass of water.
Transcribed Image Text:A water-wheel has eight buckets equally spaced around its circumference as shown in the figure below. water full bucket empty bucket- 45° direction of rotation 1.6 m water The distance between the centre of each bucket and the centre of the wheel is 1.6m. When a bucket is at its highest point, the bucket is filled with a mass of 40kg of water. The wheel rotates and the bucket is emptied at its lowest point. The wheel makes six revolutions per minute. (a) Calculate the total change in potential energy of the water in the buckets in one revolution of the wheel. (b) Calculate the average input power to the wheel. (c) Suggest why a larger number of small buckets is preferred to a smaller number of large buckets containing the same mass of water.
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