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Chapter 1: Problem 22

Express the following quantities in SI units: (a) 160 acres. (b) 15 gallons (U.S.). (c) 240 miles, (d) \(79.1 \mathrm{hp}\) (e) \(60.3^{\circ} \mathrm{F}\).

Short Answer

Expert verified
The converted quantities in SI units are: (a) 647497.6 square meters, (b) 56.78115 liters, (c) 386.2416 kilometers, (d) 59023.57 watts, and (e) \(15.72^{\circ} C\)

Step by step solution

01

Convert Acres to Square Meters

We know that 1 acre is equivalent to approximately 4046.86 square meters. Therefore, to convert 160 acres to square meters, we multiply by this conversion factor. \(160 \mathrm{acres} \times 4046.86 = 647497.6 \mathrm{m}^2\)
02

Convert Gallons to Liters

We know that 1 US gallon is approximately equal to 3.78541 liters. Therefore, to convert 15 gallons to liters, we multiply by this conversion factor. \(15 \mathrm{gallons} \times 3.78541 = 56.78115 \mathrm{L}\)
03

Convert Miles to Kilometers

We know that 1 mile is approximately equal to 1.60934 kilometers. Therefore, to convert 240 miles to kilometers, we multiply by this conversion factor. \(240 \mathrm{miles} \times 1.60934 = 386.2416 \mathrm{km}\)
04

Convert Horsepower to Watts

We know that 1 horsepower is approximately equal to 745.7 watts. Therefore, to convert 79.1 hp to watts, we multiply by this conversion factor. \(79.1 \mathrm{hp} \times 745.7 = 59023.57 \mathrm{W}\)
05

Convert Fahrenheit to Celsius

To convert Fahrenheit to Celsius, we subtract 32 from the Fahrenheit temperature and then multiply the result by 5/9. So, \(60.3^{\circ} F = (60.3 - 32) \times \frac{5}{9} = 15.72^{\circ} C\)

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