21b_ps10 - Co-21B Problem Solving#10(practice with work and...

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Co-21B Problem Solving #10 (practice with work and fluid force) from PS 9 (that I don’t think anyone finished)… 5. A cylindrical propane tank ( r = 4 ft , h = 10 ft ) lies on its side and is filled with propane ( ! = 50 lbs / ft 3 ) to a depth of 2 ft . SET UP an integral for the total work required to pump all of the propane to an outlet valve at the top of the tank. 6. A tank in the shape of a hemisphere (flat side down) of radius 10 ft is partially filled with oil ( 80 lbs / ft 3 ) to a depth of 4 ft . How long will it take a pump, rated at 250 ft-lb/sec , to pump all of the oil to the top of the tank? *Answer: ! 19min 7. A good golf swing can send a 1.6 ounce ball at 120 mph . How much work is required to do this? 8. Find the centroid of the region bounded by y = x + 2 and y = 4 ! x 2 *Answer : ! 1 2 , 12 5 ( ) 9. Find the surface area when y = x + 1,(0 ! x ! 3) is revolved about: a) the x -axis b) the y -axis 10. Find the total outside surface area of the “ring” formed when the square bounded by (0,0), (0, 2), (2, 2) and (2,0) is revolved
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