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Chapter 1: Problem 62

The speed of sound in air at room temperature is about \(343 \mathrm{~m} / \mathrm{s}\). Calculate this speed in miles per hour. ( \(1 \mathrm{mi}=1609 \mathrm{~m}\).)

Short Answer

Expert verified
The speed of sound in air at room temperature is approximately 767 miles per hour.

Step by step solution

01

Identify the conversion factors

In order to convert the units, we need to know the conversion factors. From the problem, we are given that \(1 \mathrm{mi}=1609\mathrm{~m}\) (1 mile equals 1609 meters). We also know that there are 3600 seconds in 1 hour.
02

Convert meters to miles

To convert meters to miles, we divide the speed in meters by the conversion factor. This gives \( \frac{343 \mathrm{m/s}}{1609 \mathrm{m/mi}} = 0.2131 \mathrm{mi/s}\).
03

Convert seconds to hours

Next, we convert from seconds to hours. Because there are 3600 seconds in an hour, we multiply the result from step 2 by 3600 to convert the units to miles per hour. This gives \(0.2131 \mathrm{mi/s} * 3600 \mathrm{s/hr} = 767.269 \mathrm{mi/hr}\).
04

Round to the nearest whole number

The final step is to round the answer to the nearest whole number. This results in a speed of 767 mile/hour.

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Most popular questions from this chapter

Three apprentice tailors \((\mathrm{X}, \mathrm{Y},\) and \(\mathrm{Z})\) are assigned the task of measuring the seam of a pair of trousers. Each one makes three measurements. The results in inches are \(\mathrm{X}(31.5,31.6,31.4) ; \mathrm{Y}(32.8,32.3,32.7)\) \(\mathrm{Z}(31.9,32.2,32.1) .\) The true length is \(32.0 \mathrm{in}\) Comment on the precision and the accuracy of each tailor's measurements.

Which of the following statements describe physical properties and which describe chemical properties? (a) Iron has a tendency to rust. (b) Rainwater in industrialized regions tends to be acidic. (c) Hemoglobin molecules have a red color. (d) When a glass of water is left out in the sun, the water gradually disappears. (e) Carbon dioxide in air is converted to more complex molecules by plants during photosynthesis.

A cylindrical glass bottle \(21.5 \mathrm{~cm}\) in length is tilled with cooking oil of density \(0.953 \mathrm{~g} / \mathrm{mL}\). If the mass of the oil needed to fill the bottle is \(1360 \mathrm{~g}\), calculate the inner diameter of the bottle.

The unit "troy ounce" is often used for precious metals such as gold (Au) and platinum ( \(\mathrm{Pt}\) ). ( 1 troy ounce \(=31.103\) g.) (a) A gold coin weighs 2.41 troy ounces. Calculate its mass in grams. (b) Is a troy ounce heavier or lighter than an ounce? ( \(1 \mathrm{lb}=\) \(160 z ; 1 \mathrm{lb}=453.6 \mathrm{~g} .)\)

Describe the three temperature scales used in the laboratory and in everyday life: the Fahrenheit scale, the Celsius scale, and the Kelvin scale.
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