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Chapter 1: Problem 23

The speed of light is about \(3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}\). Convert this figure to miles per hour.

Short Answer

Expert verified
The speed of light is approximately \(6.71 \times 10^{8}\) miles per hour.

Step by step solution

01

Convert Meters to Miles

To convert the distance from meters to miles, use the conversion factor \(1 \text{ mile} \approx 1609.34 \text{ meters}\). Therefore, divide the given distance of light in meters by the conversion factor: \(3.00 \times 10^{8} \text{ m/s} \div 1609.34 \text{ m/mile}\). This converts the speed of light into miles per second.
02

Convert Seconds to Hours

To convert time from seconds to hours, use the conversion factor \(1 \text{ hour} = 3600 \text{ seconds}\). Therefore, multiply the result from step 1 by the conversion factor: \((3.00 \times 10^{8} \text{ m/s} \div 1609.34 \text{ m/mile}) \times 3600 \text{ s/hour}\). This gives the speed of light in miles per hour.
03

Simplify the Calculation

To simplify the calculation, multiply and divide the numbers to get the final result: \((3.00 \times 10^{8} \times 3600) \div 1609.34 \text{ miles/hour}\).

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Most popular questions from this chapter

The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by $$ T=2 \pi \sqrt{\frac{\ell}{g}} $$ where \(\ell\) is the length of the pendulum and \(g\) is the acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula using your keys at the end of a string and a stopwatch.)

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