374bhw1 - HW#1 —Phys374—Spring 2007 Prof Ted Jacobson...

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Unformatted text preview: HW#1 —Phys374—Spring 2007 Prof. Ted Jacobson Room 4115, (301)405-6020 www.physics.umd.edu/grt/taj/374b/ [email protected] 1. Scaling of cruising velocity of flying objects with respect to mass : Problems 2.5d,e from from textbook. (You need not (but may) follow the steps and instructions in parts a,b,c,d. The book’s method seems a bit inelegant to me. Note that eqns (2.30) and (2.31) should have ∼ signs rather than = signs.) 2. Flow rate through a pipe : Problems 2.6a,b,c from textbook. ( Hint for the last part : the flow velocity is always zero at the walls.. .) 3. Speed of surface waves on water The phase velocity of a wave is the speed of wavefronts of constant phase, while the group velocity is the speed of a wavepacket. Both have dimensions of velocity, of course, so dimensional analysis will not distinguish them. The speed of water waves might depend upon various quantities: (i) properties of the water such as density ρ or surface tension (energy per unit area of stretching of...
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374bhw1 - HW#1 —Phys374—Spring 2007 Prof Ted Jacobson...

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