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A sound wave travels through iron at a rate of 
5120(m)/(s).
At what rate does the sound wave travel in 
(km)/(h) ?

◻(km)/(h)

A sound wave travels through iron at a rate of 5120ms 5120 \frac{\mathrm{m}}{\mathrm{s}} .\newlineAt what rate does the sound wave travel in kmh \frac{\mathrm{km}}{\mathrm{h}} ?\newlinekmh \square \frac{\mathrm{km}}{\mathrm{h}}

Full solution

Q. A sound wave travels through iron at a rate of 5120ms 5120 \frac{\mathrm{m}}{\mathrm{s}} .\newlineAt what rate does the sound wave travel in kmh \frac{\mathrm{km}}{\mathrm{h}} ?\newlinekmh \square \frac{\mathrm{km}}{\mathrm{h}}
  1. Convert Speed to km/h: Convert the speed from meters per second to kilometers per hour.\newlineTo convert meters to kilometers, divide by 10001000 (since 11 kilometer =1000= 1000 meters).\newlineTo convert seconds to hours, multiply by 36003600 (since 11 hour =3600= 3600 seconds).
  2. Perform Conversion Calculation: Perform the conversion calculation.\newline5120m/s×(1km1000m)×(3600s1h)=5120×11000×3600km/h5120\, \text{m/s} \times \left(\frac{1\, \text{km}}{1000\, \text{m}}\right) \times \left(\frac{3600\, \text{s}}{1\, \text{h}}\right) = 5120 \times \frac{1}{1000} \times 3600\, \text{km/h}
  3. Simplify Calculation: Simplify the calculation. 5120×11000×3600=5.120×3600=18432(km/h)5120 \times \frac{1}{1000} \times 3600 = 5.120 \times 3600 = 18432 \, (\text{km/h})

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