HW01-solutions

# HW01-solutions - baum(lmb2768 HW01 distler(56295 This...

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baum (lmb2768) – HW01 – distler – (56295) 1 This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points The kilogram is a unit of 1. length. 2. temperature. 3. volume. 4. mass. correct Explanation: 002 10.0 points A piece of pipe has an outer radius of 4 . 7 cm, an inner radius of 2 . 7 cm, and length of 35 cm as shown in the figure. 35 cm 4 . 7 cm 2 . 7 cm What is the mass of this pipe? Assume its density is 8 . 2 g / cm 3 . Correct answer: 13 . 3442 kg. Explanation: Let : r 1 = 4 . 7 cm , r 2 = 2 . 7 cm , = 35 cm , and ρ = 8 . 2 g / cm 3 . V = π r 2 1 - π r 2 2 = π ( r 2 1 - r 2 2 ) , so the density is ρ = m V m = ρ V = ρ π ( r 2 1 - r 2 2 ) = (8 . 2 g / cm 3 ) π × [(4 . 7 cm) 2 - (2 . 7 cm) 2 ] × (35 cm) 1 kg 1000 g = 13 . 3442 kg . 003 10.0 points A plastic tube allows a flow of 12 . 8 cm 3 / s of water through it. How long will it take to fill a 227 cm 3 bottle with water? Correct answer: 17 . 7344 s. Explanation: Let : r = 12 . 8 cm 3 / s and V = 227 cm 3 . cm 3 ÷ cm 3 s = cm 3 · s cm 3 = s , so the time is t = V r = 227 cm 3 12 . 8 cm 3 / s = 17 . 7344 s . 004 10.0 points The prefix that means 1 1000 is 1. centi. 2. milli. correct 3. kilo. 4. micro. Explanation: 005 10.0 points An automobile tire is rated to last for 30000 mi.

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baum (lmb2768) – HW01 – distler – (56295) 2 Estimate the number of revolutions the tire will make in its lifetime. Assume the diameter of the tire is 2 . 5 ft . Correct answer: 2 . 01681 × 10 7 rev. Explanation: Let : d = 2 . 5 ft . The circumference is C = π d , so n = (30000 mi) 5280 ft 1 mi 1 rev π (2 . 5 ft) = 2 . 01681 × 10 7 rev . 006 (part 1 of 2) 10.0 points A person travels by car from one city to an- other. She drives for 29 . 1 min at 72 . 4 km / h, 11 . 1 min at 83 . 8 km / h, 51 . 6 min at 42 . 6 km / h, and spends 17 . 3 min along the way eating lunch and buying gas.
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