A cylindrical tank, shown in the figure, has height 8 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 6 m above the top of the tank. Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. C D 8 m 4 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 ≤ y ≤8, find the cross-sectional area A(y). A(y) = (Type an exact answer, using as needed.)
A cylindrical tank, shown in the figure, has height 8 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 6 m above the top of the tank. Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. C D 8 m 4 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 ≤ y ≤8, find the cross-sectional area A(y). A(y) = (Type an exact answer, using as needed.)
Related questions
Question
100%

Transcribed Image Text:A cylindrical tank, shown in the figure, has height 8 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to
empty the tank by pumping the water to a level 6 m above the top of the tank. Use 1000 kg/m³ for the density of water and 9.8 m/s² for the
acceleration due to gravity.
4 m
Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 ≤ y ≤8, find the cross-sectional area A(y).
A(y) = (Type an exact answer, using as needed.)
8 m
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Know the concept:
VIEWStep 2: Draw a diagram of the situation:
VIEWStep 3: Derive the expression for the infinitesimal mass:
VIEWStep 4: Write the expression for the work required to bring infinitesimal mass to point P:
VIEWStep 5: Find the expression for the total work done to pump the liquid to point P:
VIEWStep 6: Calculate the required work:
VIEWStep 7: Calculate the cross-sectional area of cylinder:
VIEWSolution
VIEWTrending now
This is a popular solution!
Step by step
Solved in 8 steps with 42 images
