Heya, we just had a takehome quiz. And being only a 20 point quiz, I normally wouldn't worry too much about it, however, I am borderline on grades in that class. If anyone is just bored and wants to check these two problems really quick and let me know how they look, I would appreciate it!
1) If the work needeed to compress a spring 6 inches from its natural length is 54 inch/lb., find the work needed to compress it one food from its natural length.
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Before I could integrate this problem, I had to use the known work from the integration from 1 to 6 and solve for the force. After that I used that force into an integration from 1 to 12 using f(x) = 1.643x.
The answer I ended up with was 110.3245 in/lb.
2) A cylindrical tank, 10 ft. high and 10 ft. in diameter, contains half tank of oil weighing 50lb per cubit foot. Find the work required to pump out all the oil in the tank from a pipe that is one foot above the top of the tank.
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On this one, I used the following equasion:
Work = Integral from 0 to 10 of f(x) where f(x) = 50(pi)((5)^2)(11-x).
The answer I ended up with on this one was 137,500(pi) lb/ft.
Thanks for any help. Lemme know if I screwed anything up or if it looks okay