1) A cistern contains a volume of 40000 liters of water (PH₂O = 10³ kg m-3;1 liter = 1 dm³). It has a cylindrical shape with diameter 3.56 m. Bonus: Calculate the height of the water when the cistern is completely full. Orx I J a) Having established that the height of water in the cistern is 4.02 m when it is completely full, if the top of the cistern is at atmospheric pressure (Patm =1.01 × 105 Pa), calculate the pressure at the bottom of the cistern. Est b) You now start using the kitchen sink and open the faucet. Your faucet has a diameter of 3.50 cm. If the velocity of the water coming out of faucet is 14.5 cms 1, what is the volume flow rate? c) The cistern is connected to your sink via a pipe that has diameter 8.00 cm. 3 Calculate the speed of water in that pipe.

1) A cistern contains a volume of 40000 liters of water (PH₂O = 10³ kg m-3;1 liter = 1 dm³). It has a cylindrical shape with diameter 3.56 m. Bonus: Calculate the height of the water when the cistern is completely full. Orx I J a) Having established that the height of water in the cistern is 4.02 m when it is completely full, if the top of the cistern is at atmospheric pressure (Patm =1.01 × 105 Pa), calculate the pressure at the bottom of the cistern. Est b) You now start using the kitchen sink and open the faucet. Your faucet has a diameter of 3.50 cm. If the velocity of the water coming out of faucet is 14.5 cms 1, what is the volume flow rate? c) The cistern is connected to your sink via a pipe that has diameter 8.00 cm. 3 Calculate the speed of water in that pipe.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...

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