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:

$V_{Tc}=344.314m/s$

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

 $Tc=\frac{100}{180}(T_f-32)$

 $Tc=0.56*38$

 $Tc=21.11 textdegree C$

Therefore speed at Tc

 $V_{Tc}=V_0+(Tc)( V_{infty})$

 $V_{Tc}=331.5+(21.11)(0.607)$

 $V_{Tc}=344.314m/s$