how many times does an 8 foot pipe vibrate?

Question

The frequency of vibrations of air in an organ pipe is inversely proportional to the length of the pipe. If a pipe 2 feet long vibrates 256 times per second. How may times does an 8-foot pipe vibrate?

Answer 1

Inversely proportion equation

y = k/x

 

If a pipe 2 feet long vibrates 256 times per second

256 =k/2
k= 512

 

8-foot pipe vibrate

y=k/x

 

   =512/8

   =64

8 foot pipe vibrate 64 times