Engineering Board Exam Reviewer · Applications: Centroid, Work, and Moment of Inertia · hard

A cylindrical tank of radius 2 m and height 5 m, full of water (unit weight 9810 N/m3), is to be pumped empty from the top. Find the work required.

1. 1541 kJ
2. 770 kJ
3. 3081 kJ
4. 1233 kJ

Answer

A. 1541 kJ

Solution

W= 05 9810(π·22)(5-y),dy=9810(4π)≤ft[5y-y2/2 ]05=9810(4π)(12.5) 1541 kJ.

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