QQuestionMathematics
QuestionMathematics
How many miles does sound travel in 1 second if the temperature is 20∘C?
How many seconds does it take for sound to travel 1 mile?
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Determine the Speed of Sound at 20∘C
v = 343 \frac{\mathrm{m}}{\mathrm{s}}
The speed of sound depends on temperature. At 20∘C, the speed of sound is approximately 343 meters per second.
Step 3:: Convert Meters to Miles
1 \mathrm{~mile} = 1609.344 \mathrm{~meters}
First, convert meters to miles:
Step 4:: Calculate Miles Traveled in 1 Second
\frac{343 \mathrm{~m/s}}{1609.344 \mathrm{~m/mile}} = 0.213 \mathrm{~miles/second}
Step 5:: Calculate Seconds to Travel 1 Mile
\frac{1 \mathrm{~mile}}{0.213 \mathrm{~miles/second}} = 4.69 \mathrm{~seconds}
Final Answer
- Sound travels 0.213 miles in 1 second at 20∘C - Sound takes 4.69 seconds to travel 1 mile at 20∘C
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