Question

a sound wave travels through iron at a rate of $5120\\ \frac{\text{m}}{\text{s}}$. at what rate does the sound wave travel in $\frac{\text{km}}{\text{h}}$? $\square\\ \frac{\text{km}}{\text{h}}$

Explanation:

Step1: Convert meters to kilometers

Since \(1\) kilometer \( = 1000\) meters, we divide the speed in meters per second by \(1000\) to get it in kilometers per second. So, \(5120\frac{\text{m}}{\text{s}}=\frac{5120}{1000}\frac{\text{km}}{\text{s}} = 5.12\frac{\text{km}}{\text{s}}\).

Step2: Convert seconds to hours

Since \(1\) hour \(= 3600\) seconds, we multiply the speed in kilometers per second by \(3600\) to get it in kilometers per hour. So, \(5.12\frac{\text{km}}{\text{s}}\times3600\frac{\text{s}}{\text{h}}=5.12\times3600\frac{\text{km}}{\text{h}}\).

Step3: Calculate the product

\(5.12\times3600 = 18432\).

Answer:

\(18432\)