Question

The speed of sound in air at 0°C is 332m/s . if it increase at the rate of 0.6 m/s per degree what will be the temperature when velocity to 344m/s ​

Answer 1

Answer:

Speed of sound varies with temperature. It increases with increase in temperature. On an average for every 1°C change in temperature, speed of sound increases by 0.61 m/s. It can be given mathematically as

V(t) = v(0) + 0.61t

In this case v(0) is equal to 332 m/s. Temperature change is 20°C. Therefore speed of sound at 20°C is

332+(0.61×20)= 332+12.2= 334.2m/s

Answer 2

Answer:

The speed of sound in air at 0°C =332m/s

if it increases at the rate of 0.6m/s per degree

speed at x°C = (332 + 0.6x)°C

Thus , 344 = 332 + 0.6x

344 - 332 = 0.6x

12 = 0.6x

x = 12/0.6

x = 20°C

therefore , the temperature is 20°C