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# hw02 - alexander(jra2623 homework 02 Turner(92510 This...

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alexander (jra2623) – homework 02 – Turner – (92510) 1 This print-out should have 8 questions. Multiple-choice 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 ρ = 1680 kg / m 3 . The linear density of the rope μ , defined to be the mass per unit length, can be written in the form μ = ρ x A y . Based on dimensional analysis, determine the powers x and y by choosing an expression below. 1. μ = ρ A correct 2. μ = A ρ 2 3. μ = A 2 ρ 2 4. μ = ρ A 5. μ = ρ A 2 6. μ = A ρ 7. μ = A 2 ρ 8. μ = 1 ρ A 9. μ = ρ A 2 10. μ = 1 ρ A 2 Explanation: [ x ] means ”the units of x ”. [ μ ] = [ ρ 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 . Thus μ = ρ 1 A 1 = ρ A . 002 10.0 points An angle of 249 is equivalent to how many radians? Correct answer: 4 . 34587 rad.

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hw02 - alexander(jra2623 homework 02 Turner(92510 This...

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