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) 176.4 lbm 4.80 10 1N - 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.
.. 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 = 104.6 km/h h 1 mile 1000 m.8 ft km 1000 m 1 h 104.6 = 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 - = 4.80 10 lbf 4 018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
.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 = = 0.114 mm /sheet 500 sheets 1 in. 5 018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
.7. A barrel can hold 4 gallons of oil. How many liters of oil are in the barrel? 4 gallons.78 liters =158.76 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.= 1 100 kg7.7 m s = 4.6 10 5 kg m s m =4.6 105 N m=4.6 10 5 J K.E. = (4.6 10 5 J) 1 ft lbf 1.558 J =.4 105 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 6 018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
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 ) = 1.4 10 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 ) = 51 10 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. 1000 cm 1 in V = (.5 liters) = 14 in 1 liter.54 cm 7 018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
.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 = 0.075 0.456 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 8 018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
H 1ft = (180 cm)( ) = 5. ft 0.48 cm Person's weight, W 1lbf W = (750 N)( ) = 168.6 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 0.048 m 580 ft Distance traveled, D 1000 m 1 ft 1 mile D= (80 km)( )( )( ) = 4.7 miles 1 km 0.048 m 580 ft Temperature of air, T T ( C) = (0) 5 + = 86 F Density of air, ρ kg 1 lbm 0.048 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 )( ) 0.1111 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.
(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 0.048 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 = 101.57 kpa (d) 101.57 kpa = 1.01 bar 10 018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
.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 11 018 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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