You attend a concert and have a seat that is 70 m away from the stage where the sound is produced. How long does it take for the sound to reach your ears? You take a picture with your phone and send it to your friend who could not come to the concert. She lives in a town 45 miles away. How long does it take until she gets the picture on her phone? Please, include the assumptions that you make.

Respuesta :

Given:

distance of observer from the sound source, [tex]s=70~m[/tex]

distance between the source of image information sender and the receiver, [tex]d=45~miles=72420.48~m[/tex]

Assumptions:

speed of sound, [tex]v=343~m/s[/tex]

speed of the image information being sent, [tex]c=3\times 10^8~m/s[/tex] (we assume it to be nearly the speed of light in vacuum)

Solution:

Time taken by the sound to reach the observer:

[tex]time=\frac{distance}{speed}[/tex]

[tex]time=70\div 343[/tex]

[tex]time \approx 0.2~s[/tex]

Time taken by the image to reach the destination:

[tex]time=\frac{72420.48}{3\times 10^8}[/tex]

[tex]time=2.4\times 10^{-4}~s[/tex]