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PSet_02

# PSet_02 - How long does he have to turn the water off By...

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Spring 2003 10.450 Process Dynamics, Operations, and Control Problem Sets - 2 1. Harvey goes his own way in the world. Harvey’s bathtub is a half-cylinder of radius 30 cm, length 160 cm. When he welded it up from scrap pipe, he neglected to install an overflow drain; hence he must be very careful to avoid overfilling, because his bathroom is directly over the room housing his collection of sugar cube replicas of 16 th century cathedrals. He’s filling it at a rate of 7 kg s -1 with 40ºC water. When the level is 17 cm, he hops into the tub.
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Unformatted text preview: How long does he have to turn the water off? By the way, Harvey weighs in at 185 lb f . 2. Invert the following Laplace transforms from the table on p.100 in your text: 2 3 2 − s 2 e s 3 s s 3 + 2 s 2 + 4 s − s + 1 1 2 s 2 + s s 2 + 4 s + 5 3. Solve this differential equation using Laplace transforms. Invert the transform using the partial fractions technique. d 2 y + 2 dy + y = 2 y (0) = 0, dy = 0 dt 2 dt dt 0 1...
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