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# hw 2 - = 0.08 m and 6 palms = 1 cubit Answer in units oF m...

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Patel (pnp223) – homework 02 – Turner – (92160) 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points This problem shows how dimensional analysis helps us check and sometimes even fnd a Formula. A rope has a cross section A = 9 . 67 m 2 and density ρ = 1990 kg / m 3 . The “linear” density oF the rope μ , defned 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 = 1 ρ A 2 2. μ = A 2 ρ 3. μ = ρ A 4. μ = 1 ρ A 5. μ = ρ A 2 6. μ = ρ A 7. μ = ρ A 2 8. μ = A 2 ρ 2 9. μ = A ρ 2 10. μ = A ρ 002 10.0 points An angle oF θ = 247 is equivalent to how many radians? Answer in units oF rad. 003 (part 1 oF 2) 10.0 points An ancient unit oF length called the cubit was equal to approximately 50 centimeters, which is, or course, approximately 0.50 meters. It has been said that Noah’s ark was 300 cubits long, 50 cubits wide, and 30 cubits high. Estimate the volume oF the ark using 1 palm
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Unformatted text preview: = 0.08 m and 6 palms = 1 cubit. Answer in units oF m 3 . 004 (part 2 oF 2) 10.0 points Estimate the volume oF a typical home (2120 Ft 2 in size and 10 Ft tall). Answer in units oF m 3 . 005 (part 1 oF 2) 10.0 points The cartesian coordinates oF a point in the xy plane are x =-4 . 39 m, y =-4 . 13 m. ±ind the distance, r , From the point to the origin. Answer in units oF m. 006 (part 2 oF 2) 10.0 points Calculate the angle θ between the radius-vector oF the point and the positive x axis (measured counterclockwise From the positive x axis, within the limits oF-180 ◦ to +180 ◦ ). Answer in units oF ◦ . 007 (part 1 oF 2) 10.0 points The rectangular and polar coordinates oF a point are ( x, y ) and ( r, θ ), where x = 2 and θ = 19 ◦ . Determine the value oF r. 008 (part 2 oF 2) 10.0 points Determine the value oF y....
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