Question

The accepted speed of sound at atmospheric pressure and 0 *C is 331.5 m/s. The speed of sound increases 0.607 m/s for every *C. Calculate the speed of sound at the temperature of your room and compare your measured value to the accepted value.

Answer 1

Complete Question

The accepted speed of sound at atmospheric pressure and 0 *C is 331.5 m/s. The speed of sound increases 0.607 m/s for every *C. Calculate the speed of sound at the temperature of your room(70F) and compare your measured value to the accepted value.

Answer:

`V_(Tc)=344.314m/s`

Step-by-step explanation:

From the question we are told that:

Speed of sound at Temperature
`0 \textdegree`
`V_0=331.5m/s`

Rate of Speed increase
`\triangle V_(infty)=0.607`

Generally the equation for Temperature in Celsius is mathematically given by

`Tc=(100)/(180)(T_f-32)`

`Tc=0.56*38`

`Tc=21.11 textdegree C`

Therefore speed at Tc

`V_(Tc)=V_0+(Tc)( V_(infty))`

`V_(Tc)=331.5+(21.11)(0.607)`

`V_(Tc)=344.314m/s`