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Unformatted text preview: alexander (jra2623) homework 02 Turner (92510) 1 This printout should have 8 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points A rope has a cross section A = 11 . 4 m 2 and density = 1680 kg / m 3 . The linear density of the rope , defined to be the mass per unit length, can be written in the form = x A y . Based on dimensional analysis, determine the powers x and y by choosing an expression below. 1. = A correct 2. = A 2 3. = A 2 2 4. = A 5. = A 2 6. = A 7. = A 2 8. = 1 A 9. = A 2 10. = 1 A 2 Explanation: [ x ] means the units of x . [ ] = [ x A y ] [M] [L] = parenleftbigg M L 3 parenrightbigg x ( L 2 ) y [M] +1 [L] 1 = M x L 3 x L 2 y = M x L 2 y 3 x Equating the exponents, x = 1 2 y 3 x = 1 2 y 3 = 1 y = 1 ....
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This note was uploaded on 10/20/2011 for the course PHY 302K taught by Professor Kaplunovsky during the Summer '08 term at University of Texas at Austin.
 Summer '08
 Kaplunovsky
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