Solutions+PS+5+2009

# Solutions+PS+5+2009 - time after launch if the rocket...

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PROBLEM SET 5 SOLUTIONS Prof. Cappelli Winter 2008-09 ME 70 Problems due Wednesday February 11, 2008 Linear Momentum Conservation (and sometimes Bernoulli’s Equation) Problem 4.98 (Fox, McDonald, and Pritchard) Problem 4.105 (Fox, McDonald, and Pritchard) Problem 4.137 (Fox, McDonald, and Pritchard) Problem 4.170 (Fox, McDonald, and Pritchard) Rocket Science (a) Consider the rocket problem of Example 4.12 on page 126 in the textbook. Determine the height at which it consumes all of its fuel, if it’s “dry mass” (mass of the rocket after consuming all of its fuel) is 100 kg. (b) Derive the governing differential equations (do not solve!) that describe the height of the rocket at any

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Unformatted text preview: time after launch, if the rocket experiences a drag force (force of air resistance) opposing its motion that is equal to: 2 2 1 R D D V C F ρ = Here, C D is the drag coefficient. Assume an isothermal model for the atmosphere to model the variation in atmospheric air density with altitude. Put these equations into forms first-order (in time) for rocket velocity V R , mass, M, and height, h. PROBLEM SET 5 SOLUTIONS PROBLEM SET 5 SOLUTIONS PROBLEM SET 5 SOLUTIONS PROBLEM SET 5 SOLUTIONS PROBLEM SET 5 SOLUTIONS PROBLEM SET 5 SOLUTIONS PROBLEM SET 5 SOLUTIONS PROBLEM SET 5 SOLUTIONS...
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