A circular swimming pool has a diameter of 20 m. The circular side of the pool is 4 m high, and the depth of the water is 3.5 m. (The acceleration due to gravity is 9.8 m/s² and the density of water is 1000 kg/m³.) How much work (in Joules) is required to: (a) pump all of the water over the side? (1000-9.8-7-10²-3.5) [42-0.5²] 2 (b) pump all of the water out of an outlet 3 m over the side? (1000-9.8--102.3.5) 2 - [7²-0.5²]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A circular swimming pool has a diameter of 20 m. The circular side of the pool is 4 m high, and the
depth of the water is 3.5 m. (The acceleration due to gravity is 9.8 m/s² and the density of water is
1000 kg/m³.)
How much work (in Joules) is required to:
(a) pump all of the water over the side?
(1000-9.8-7-10²-3.5) [42-0.5²]
2
(b) pump all of the water out of an outlet 3 m over the side?
(1000-9.8--102.3.5)
2
- [7²-0.5²]
Transcribed Image Text:A circular swimming pool has a diameter of 20 m. The circular side of the pool is 4 m high, and the depth of the water is 3.5 m. (The acceleration due to gravity is 9.8 m/s² and the density of water is 1000 kg/m³.) How much work (in Joules) is required to: (a) pump all of the water over the side? (1000-9.8-7-10²-3.5) [42-0.5²] 2 (b) pump all of the water out of an outlet 3 m over the side? (1000-9.8--102.3.5) 2 - [7²-0.5²]
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