The speed of sound in air is proportional to the square

Chapter , Problem 81

(choose chapter or problem)

The speed of sound in air is proportional to the square root of the absolute temperature (Equation 15-5). (a) Show that if the air temperature changes by a small amount, the fractional change in the fundamental frequency of an organ pipe is approximately equal to half the fractional change in the absolute temperature. That is, show that where is the frequency at absolute temperature and is the change in frequency when the temperature changes by (Ignore any change in the length of the pipe due to thermal expansion.) (b) Suppose that an organ pipe that is stopped at one end has a fundamental frequency of 200.0 Hz when the temperature is Use the approximate result from Part (a) to determine the pipes fundamental frequency when the temperature is (c) Compare your Part (b) result to what you would get using exact calculations. (Ignore any change in the length of the pipe due to thermal expansion.)

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back