A swimming pool has the shape of a box with a base that measures 30 m by 15 m and a uniform dopth of 2.4 m How much work required to pump the water out of the pool when it is har? Use 1000 kg/m for the density of water and 9 8 m/s² for the acceleration due to gravity You may use the formula W- DA b SPOM Draw ay ax in the vertical direction paralel to gravity) and choose one corner of the bottom of the pool as the origin Fordsys24, tnd the cross sectional area Ay) Ay-moy your answer.) Set up the integral that gives the work required to pump the water out of the pook Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choic (Type exact answers) (AM dy @AD) Dv) dy The amount of work required e soc notation Use the multiplication symbol in the math palete as needed Round to the nearest hundredthanded)
A swimming pool has the shape of a box with a base that measures 30 m by 15 m and a uniform dopth of 2.4 m How much work required to pump the water out of the pool when it is har? Use 1000 kg/m for the density of water and 9 8 m/s² for the acceleration due to gravity You may use the formula W- DA b SPOM Draw ay ax in the vertical direction paralel to gravity) and choose one corner of the bottom of the pool as the origin Fordsys24, tnd the cross sectional area Ay) Ay-moy your answer.) Set up the integral that gives the work required to pump the water out of the pook Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choic (Type exact answers) (AM dy @AD) Dv) dy The amount of work required e soc notation Use the multiplication symbol in the math palete as needed Round to the nearest hundredthanded)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A swimming pool has the shape of a box with a base that measures 30 m by 15 m and a uniform dopth of 2.4 m How much work is required to pump the water out of the pool when it is far? Use 1000 kg/m for
the density of water and 9 8 m/s for the acceleration due to gravity
You may use the formula W-
- SANOF
040) Dov) dy
Draw ay axa in the vertical direction parallel to gravity) and choose one corner of the bottom of the pool as the ongin Ford sys24, fnd the cross sectional area A(Y)
AY-(Simply your awer.)
Set up the integral that gives the work required to pump the water out of the pook Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choice
(Type exact answers)
DA (9) A
() ay
The amount of work required
esccntation Use the multiplication symbol in the math palete as needed Round to the nearest hundredth as needed)
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