Chapter 2 SOLUTION 100 = km = h. = h. ft s
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1 Chapter.1. Convert the information given in the accompanying table from SI units to U.S. Customary units. Show all steps of your solutions. See Example.. km 1000 m.8 ft 1 mile 10 = 74.5 miles/h h 1 km 1 m 580 ft km 1000 m.8 ft 1 h 10 = 10. ft/s h 1 km 1 m 600 s.8 ft ( m ) 5 ft 100 = 1 m.046 lbm 80 = 1kg 00 ( kg) lbm N - lbf ( N) = 0. lbf m.8 ft ft.81 =. s 1 m s 018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
2 .. Convert the information given in the accompanying table from U.S. Customary to SI units. Show all steps of your solutions. See Example.. miles 580 ft 1 km 1 m 65 = km/h h 1 mile 1000 m.8 ft km 1000 m 1 h = m/s h 1 km 600 s lbm 1 kg.8 ft 10 1,0 kg/m = ft.046 lbm 1 m 1 kg 00 ( lbm) = 0.7 kg.046 lbm 1 N 00 ( lbf) 80 N - = lbf Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
3 .4. A house has a given floor space of,000 ft. Convert this area to m. 1 m A = (000 ft ) = 185. m.8 ft.5. Calculate the volume of water in a large swimming pool with dimensions of 50 m 5 m m. Express your answer in liters, m, gallons, and ft. V = (50 m)(5 m)( m) =,500 m 100 cm 1 liter V = (,500 m ) =,500,000 liters 1 m 1000 cm.8 ft V = (,500 m ) = 88,1 ft 1 m 7.48 gallons 1ft V = (88,1 ft ) 660,000 gallons.6. A 500 sheet ream of copy paper has thickness of.5 in. What is the average thickness of each sheet in mm?.5 in. 5.4 mm Thickness = = mm /sheet 500 sheets 1 in Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
4 .7. A barrel can hold 4 gallons of oil. How many liters of oil are in the barrel? 4 gallons.78 liters = liters gallon.8. Express the kinetic energy [½ (mass)(speed) ] of a car with a mass of 1,00 kg moving at a speed of 100 km/h. First, you need to convert the speed from km/h to the fundamental units of m/s. Show the conversion steps. (Note: We explain the concept of kinetic energy in Chapter.) km 1 h 1000 m speed = (100) = 7.7 m/s h 600 s 1 km K.E.= kg7.7 m s = kg m s m = N m= J K.E. = ( J) 1 ft lbf J = ft lbf.. A machine shop has a rectangular floor shape with dimensions of 0 ft by 50 ft. Express the area of the floor in ft, m, in., and cm. Show the conversion steps. A = (0 ft)(50 ft) = 1500 ft Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
5 1 m A (1500 ft ) = =.8 ft 1 in A (1500 ft ) = = 1ft 1.4 m 16,000 in 1 cm 4 A = (1500 ft ) = cm 0.08 ft.10. A trunk of a car has a listed luggage capacity of 18 ft. Express the capacity in in., m, and cm. Show the conversion steps. 1 in V = (18 ft ) = 1,104 in 1 ft 1 m V = (18 ft ) = 0.51 m.8 ft 1 cm 4 V = (18 ft ) = cm 0.08 ft.11. An automobile has a.5 liter engine. Express the engine size in in.. Show the conversion steps. Note that 1 liter is equal to 1,000 cm cm 1 in V = (.5 liters) = 14 in 1 liter.54 cm Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
6 .1. The density of air that we breathe at standard room conditions is 1. kg/m. Express the density in U.S. Customary units. Show the conversion steps. Density = 1. kg 1 m m.8 ft 1 lbm lbm = kg ft.1. On a summer day in Phoenix, Arizona, the inside room temperature is maintained at 68 F while the outdoor air temperature is a sizzling 110 F. What is the outdoor indoor temperature difference in degrees (a) Fahrenheit or (b) Celsius? (a) T (b) T T T outdoor T indoor outdoor indoor ( ( C) C) outdoor T indoor = 110 F 68 F= 4 F 5 ( T = outdoor 5 ( T = indoor ( F) ) = 5 (110 ) = 4. 5 ( F) ) = (68 ) = 0 C = 4. C 0 C=. C C.14. A person who is 180 cm tall and weighs 750 newtons is driving a car at a speed of 0 kilometers per hour over a distance of 80 kilometers. The outside air temperature is 0 C and has a density of 1. kg/m. Convert all of the values given from SI to U.S. Customary units. Person's height, H Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
7 H 1ft = (180 cm)( ) = 5. ft 0.48 cm Person's weight, W 1lbf W = (750 N)( ) = lbf 4.448N Speed of the car, S = 0 km/h = 0,000 m/h m 1 ft 1 mile S = (0,000 )( )( ) = 55. (miles/h) h m 580 ft Distance traveled, D 1000 m 1 ft 1 mile D= (80 km)( )( )( ) = 4.7 miles 1 km m 580 ft Temperature of air, T T ( C) = (0) 5 + = 86 F Density of air, ρ kg 1 lbm m (1. )( ) 0.075(lbm/ft ) ρ= = m 0.45 kg 1 ft.15. Convert the given values: (a) area A = 16 in. to ft and (b) volume V = 64 in. to ft. (a) 1 ft (16 in )( ) ft 144 in = 018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
8 (b) 1 ft (64 in )( ) = 0.07 ft 1 in.16. The acceleration due to gravity g is.81 m/s. Express the value of g in U.S. Customary units. Show all conversion steps. 1 ft (.81 m/s )( ).18 ft/s m =.17. Atmospheric pressure is the weight of the column of air over an area. For example, under standard conditions, the atmospheric pressure is 14.7 lbf/in.. This value means that the column of air in the atmosphere above a surface with an area of 1 in. will exert a force of 14.7 lbf. Convert the atmospheric pressure in the given units to the requested units: (a) 14.7 lbf/in. to lbf/ft, (b) 14.7 lbf/in. to Pa, (c) 14.7 lbf/in. to kpa, and (d) 14.7 lbf/in. to bars. Show all of the conversion steps. [Note: One Pascal (1 Pa) is equal to one newton per meter squared (1 Pa = 1 N/m ) and 1 bar = 100 kpa.] lbf 144 in lbf (a) 14.7( )( ) =,117( ) in 1 ft ft (b) 14.7 lbf 6,85 Pa in 1 lbf =101,57 Pa in (c) 101,57 Pa = kpa (d) kpa = 1.01 bar Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
9 .18. The density of water is 1,000 kg/m. Express the density of water in lbm/ft and lbm/gallon. (Note: 7.48 gallons = 1 ft ) 1000 kg 1 m m.8 ft.0 lbm =6.4 lbm/ft 1 kg 6.4 lbm ft ft =8. lbm/gallon 7.48 gallons Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
10 1 018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
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