Question

1. aviation the cruising speed of a boeing 737 is approximately mach 0.74, meaning 0.74 times the speed of sound. if the speed of sound at cruising altitude is approximately 295 m/s, what is the cruising speed of the 737 in miles per hour?

Explanation:

Step1: Calculate the speed in m/s

The speed of the Boeing 737 in m/s is \(v = 0.74\times295\) m/s.

$$v=0.74\times295 = 218.3$$

m/s.

Step2: Convert m/s to miles per hour

We know that \(1\) meter \(= 0.000621371\) miles and \(1\) hour \(= 3600\) seconds.
The conversion formula is \(v(\text{mph})=v(\text{m/s})\times\frac{0.000621371\times3600}{1}\).
Substitute \(v = 218.3\) m/s into the formula:

$$v(\text{mph})=218.3\times0.000621371\times3600$$

$$v(\text{mph})=218.3\times2.237$$

$$v(\text{mph})\approx489$$

Answer:

The cruising speed of the Boeing 737 is approximately \(489\) miles per hour.