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Course: MAE 212, Fall 2008
School: ASU
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Word Count: 111

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1.7 Problem On August 20, 1974, Nolan Ryan threw the first baseball pitch measured at over 100 mi/h. The measured speed was 100.9 mi/h. Determine the speed of the pitch to four significant digits (a) in ft/s; (b) in km/h. Solution: (a) v D 100.9 mi h mi h 5280 ft 1 mi 5280 ft mi 1h 3600 s D 148.0 ft s v D 100.9 (b) 0.3048 ft 1 m km 1000 m D 162.4 km/h c 2005 Pearson Education, Inc., Upper Saddle River, NJ....

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1.7 Problem On August 20, 1974, Nolan Ryan threw the first baseball pitch measured at over 100 mi/h. The measured speed was 100.9 mi/h. Determine the speed of the pitch to four significant digits (a) in ft/s; (b) in km/h. Solution: (a) v D 100.9 mi h mi h 5280 ft 1 mi 5280 ft mi 1h 3600 s D 148.0 ft s v D 100.9 (b) 0.3048 ft 1 m km 1000 m D 162.4 km/h c 2005 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 1
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ASU - MAE - 212
Problem 1.8 On March 18, 1999, an experimental Maglev (magnetic levitation) train in Japan reached a maximum speed of 552 km/h. What was its velocity in mi/h to three significant digits? Solution:v D 552 km h 1000 m km 1 ft 0.3048 m 1 mi 5280 ft D 3
ASU - MAE - 212
Problem 1.9 In May, 1963, in the last flight of Project Mercury, Astronaut L. Gordon Cooper traveled a distance of 546,167 miles in 1 day, 10 hours, 19 minutes, and 49 seconds. Determine his average speed (the distance traveled divided by the time re
ASU - MAE - 212
Problem 1.10 Engineers who study shock waves sometimes express velocity in millimeters per microsecond (mm/s). Suppose the velocity of a wavefront is measured and determined to be 5 mm/s. Determine its velocity: (a) in m/s; (b) in mi/s.Solution: Co
ASU - MAE - 212
Problem 1.11 The kinetic energy of a particle of mass m is defined to be 1 mv2 , where v is the magnitude of the 2 particle's velocity. If the value of the kinetic energy of a particle at a given time is 200 when m is in kilograms and v is in meters
ASU - MAE - 212
Problem 1.12 The acceleration due to gravity at sea level in SI units is g D 9.81 m/s2 . By converting units, use this value to determine the acceleration due to gravity at sea level in U.S. Customary units.Solution: Use Table 1.2. The result is:g
ASU - MAE - 212
Problem 1.13 A furlong per fortnight is a facetious unit of velocity, perhaps made up by a student as a satirical comment on the bewildering variety of units engineers must deal with. A furlong is 660 ft (1/8 mile). A fortnight is 2 weeks (14 days).
ASU - MAE - 212
Problem 1.14 The cross-sectional area of a beam is 480 in2 . What is its cross-section in m2 ? Solution: Convert units using Table 1.2. The result:480 in2 1 ft 12 in20.3048 m 1 ft2D 0.30967 . . . m2 D 0.310 m2c 2005 Pearson Education, Inc.,
ASU - MAE - 212
Problem 1.15 The cross-sectional area of the C1230 American Standard Channel steel beam is A D 8.81 in2 . What is its cross-sectional area in mm2 ? Solution:A D 8.81 in2 25.4 mm 1 in2y AD 5680 mm2xc 2005 Pearson Education, Inc., Upper Saddl
ASU - MAE - 212
Problem 1.16 A pressure transducer measures a value of 300 lb/in2 . Determine the value of the pressure in pascals. A pascal (Pa) is one newton per meter squared. Solution: Convert the units using Table 1.2 and the definition of the Pascal unit. The
ASU - MAE - 212
Problem 1.17 A horsepower is 550 ft-lb/s. A watt is 1 N-m/s. Determine the number of watts generated by (a) the Wright brothers' 1903 airplane, which had a 12horsepower engine; (b) a modern passenger jet with a power of 100,000 horsepower at cruising
ASU - MAE - 212
Problem 1.18 In SI units, the universal gravitational constant G D 6.67 10 11 N-m2 /kg2 . Determine the value of G in U.S. Customary units.Solution: Convert units using Table 1.2. The result:6.67 1011N-m2 kg281 lb 4.448 N lb-ft2 slug21 ft
ASU - MAE - 212
Problem 1.19 The moment of inertia of the rectangular area about the x axis is given by the equation I D 1 bh3 . 3 The dimensions of the area are b D 200 mm and h D 100 mm. Determine the value of I to four significant digits in terms of (a) mm4 ; (b)
ASU - MAE - 212
Problem 1.20 T D 1 I2 , 2In the equationSolution: For (a), substitute the units into the expression for T:(a) TD 1 2 I kg-m2 s1 2Dkg-m2 s2the term I is in kg-m2 and is in s 1 . (a) (b) What are the SI units of T? If the value of T is 100
ASU - MAE - 212
Problem 1.21The equation D My ISolution:(a) D My N (N-m)m D 2 D I m4 m My 2000 N-m 0.1 m D I 7 10 5 m4 D 59,700 lb ft2 1 lb 4.448 N 0.3048 m ft2is used in the mechanics of materials to determine normal stresses in beams. (a) When this equati
ASU - MAE - 212
Problem 1.22 Let W be your weight at sea level in pounds. (a) What is your weight at sea level in newtons? (b) What is your mass in kilograms? Solution:(a) W (lb) 4.448 N lb D 4.448W N(b)mD4.448W N D 0.453W kg 9.81 m/s2c 2005 Pearson Educati
ASU - MAE - 212
Problem 1.23 The acceleration due to gravity is 1.62 m/s2 on the surface of the moon and 9.81 m/s2 on the surface of the earth. A female astronaut's mass is 57 kg. What is the maximum allowable mass of her spacesuit and equipment if the engineers don
ASU - MAE - 212
Problem 1.24 (a) (b)A person has a mass of 50 kg.Solution: Use Eq (1.6).(a) We D 50 kg 9.81 m s2 D 490.5 N D 491 N, and m s2The acceleration due to gravity at sea level is g D 9.81 m/s2 . What is the person's weight at sea level? The accelerat
ASU - MAE - 212
Problem 1.25 The acceleration due to gravity at sea level is g D 9.81 m/s2 . The radius of the earth is 6370 km. The universal gravitational constant is G D 6.67 10 11 N-m2 /kg2 . Use this information to determine the mass of the earth.Solution: U
ASU - MAE - 212
Problem 1.26 A person weighs 180 lb at sea level. The radius of the earth is 3960 mi. What force is exerted on the person by the gravitational attraction of the earth if he is in a space station in orbit 200 mi above the surface of the earth?Soluti
ASU - MAE - 212
Problem 1.27 The acceleration due to gravity on the surface of the moon is 1.62 m/s2 . The radius of the moon is RM D 1738 km. Determine the acceleration due to gravity of the moon at a point 1738 km above its surface. Strategy: Write an equation equ
ASU - MAE - 212
Problem 1.28 If an object is near the surface of the earth, the variation of its weight with distance from the center of the earth can often be neglected. The acceleration due to gravity at sea level is g D 9.81 m/s2 . The radius of the earth is 6370
ASU - MAE - 212
Problem 1.29 The centers of two oranges are 1 m apart. The mass of each orange is 0.2 kg. What gravitational force do they exert on each other? (The universal gravitational constant is G D 6.67 10 11 Nm2 /kg2 .)Solution: Use Eq (1.1) F DFD 6.67 1
ASU - MAE - 212
Problem 1.30 At a point between the earth and the moon, the magnitude of the force exerted on an object by the earth's gravity equals the magnitude of the force exerted on the object by the moon's gravity. What is the distance from the center of the
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