Answer to Question #163248 in Physics for Earl

Question

The speed of sound is influenced by the sounding temperature. As the temperature gets hotter the speed of sound moves at a higher rate. 

The formula in solving the speed of sound in air is v= 331 m/s + (0.6T). Higher Physics book suggested the equation v= 331 m/s √273 K + T/273 K, provided that the temperature is in Celsius unit. Since sound is a type of mechanical wave, it is also affected by th medium by which the sound is passing through. The speed of sound varies per medium such as solid, liquid and gas.

Try to solve the problem...

1. The soccer team captain ball shouts producing 88 Hz at the top of his lungs. Determine the speed of the sound he produces if the temperature of the surroundings is about 43°C.

YOU'RE RIGHT 357 M/S

What is tha ambient temperature changed? Try to solve this.

a) 24°C

b) 37°C

c) 50°C

d) 27°C

e) 15°C

Answer 1

The speed of sound is

$$v=331\sqrt{1+\frac{43}{273}}=356.4\text{ m/s}.$$

If the ambient temperature changes, the speed of sound will be

346 m/s at 24°C,

353 m/s at 37°C,

360 m/s at 50°C,

347 m/s at 27°C,

340 m/s at 15°C.