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clairez93
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Homework Statement
1. A cylindrical gasoline tank 3 feet in diameter and 4 feet long is carried on hte back of a truck and is used to fuel tractors. The axis of the tank is horizontal. Find the work done in pumping the entire contents of the fuel tank into a tract if the opening on the tractor tank is 5 feet above the top of the tank in the truck. Gasoline weighs 42 pounds per cubic foot.
2. Consider a 15-foot chain hanging from a winch 15 feet above ground level. Find the work done by the winch in winding up the specified amount of chain, if the chain weighs 3 pounds per foot.
Homework Equations
The Attempt at a Solution
1. I visualized it as being chopped into little chunks of rectangles:
dW = dF * x
dF = (weight)
weight = 42*4*1.5*dh
dF = 42*4*1.5*dy * (5-y)
[tex]\int^{3}_{0}42*4*1.5*dy * (5-y)[/tex] = 2646
Book Answer: 2457pi
2. dW = dF * x
dF = 3 dy
d = 10-y
[tex]\int^{10}_{0}3*(10-y) dy[/tex] = 150
Book answer: 300
Can anyone help me see my mistakes?