Work = (Force) (Distance) = (N)(m) = J Force = (Mass) (Accleration) = (kg) (m/s²) = N Acceleration due to gravity = 9.8 m/s² %3D Mass = (Volume)(Density) Density of water = 1000 kg/m³ 7. A cylindrical shaped tank with radius 4 meters and a height of 15 meters is full of water. Set-up an integral that would calculate the work required to pump all the water to the top of the tank. Evaluate the integral to find the work done.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter15: Fluid Mechanics
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Work = (Force) (Distance) = (N)(m) = J
Force = (Mass) (Accleration) = (kg) (m/s²) = N
Acceleration due to gravity = 9.8 m/s?
Mass = (Volume)(Density)
Density of water = 1000 kg/m³
%3D
%3D
7. A cylindrical shaped tank with radius 4 meters and a height of 15 meters is full of
water. Set-up an integral that would calculate the work required to pump all the
water to the top of the tank. Evaluate the integral to find the work done.
Transcribed Image Text:Work = (Force) (Distance) = (N)(m) = J Force = (Mass) (Accleration) = (kg) (m/s²) = N Acceleration due to gravity = 9.8 m/s? Mass = (Volume)(Density) Density of water = 1000 kg/m³ %3D %3D 7. A cylindrical shaped tank with radius 4 meters and a height of 15 meters is full of water. Set-up an integral that would calculate the work required to pump all the water to the top of the tank. Evaluate the integral to find the work done.
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