Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Calculate the Mach number for sound given the temperature and the speeda. 332 m/s at 30°Cb. 340 m/s at -10°Cc. 6000 km/h at 13°Cd. 6000 km/h at -13°0

Sagot :

The Mach number indicates how many times a speed is greater than the speed of sound.

So, to find the Mach number, we just need to divide the speed by the speed of sound.

a) at 30°C, the speed of sound is 349 m/s, so we have:

[tex]\frac{332}{349}=0.95[/tex]

b) at -10°C, the speed of sound is 325 m/s, so we have:

[tex]\frac{340}{325}=1.05[/tex]

c) at 13°C, the speed of sound is 339 m/s. First, let's convert the speed from km/h to m/s:

[tex]\begin{gathered} 6000\text{ km/h}=\frac{6000}{3.6}\text{ m/s}=1666.67\text{ m/s} \\ \frac{1666.67}{339}=4.92 \end{gathered}[/tex]

d) at -13°C, the speed of sound is 323 m/s, so we have:

[tex]\frac{1666.67}{323}=5.16[/tex]