Question

Calculate the time it would take for sound to travel through 2000 m of the following substances, given the velocity of sound through the substance:A. Helium (972 m/s)B. Water (1450 m/s) C. Steel (5130 m/s)D. Glass (4700 m/s)

Answer 1

Given that the distance is d = 2000 m.

(A) Helium has the velocity

`v_1=\text{ 972 m/s}`

The time taken for the sound to travel through the helium

`\begin{gathered} t_1=(d)/(v_1) \\ =2.05\text{ s} \end{gathered}`

(B) Water has the velocity

`v_(_2)=1450\text{ m/s}`

The time taken for the sound to travel through the water

`\begin{gathered} t_2=(d)/(v_2) \\ =1.37\text{ s} \end{gathered}`

(C) Steel has the velocity

`v_3=5130\text{ m/s}`

The time taken for the sound to travel through the steel

`\begin{gathered} t_3=(d)/(v_3) \\ =0.38\text{ s} \end{gathered}`

(D) Glass has the velocity

`v_4=4700\text{ m/s}`

The time taken for the sound to travel through the glass

`\begin{gathered} t_4=(d)/(v_4) \\ =0.42\text{ s} \end{gathered}`