Problem 3

A source emits sound of frequency

f

and wavelength

λ

in still air. An observer approaches it at speed

v_o

; sound speed is

c

. Find observed frequency. Assume ideal objects and components, neglect unstated losses, and use SI units. (a) Derive the primary requested quantity from the appropriate law. (b) Analyze quantitatively how the result depends on the given parameters. (c) Check a physically meaningful limiting case and explain its meaning. State sign conventions, show reasoning, and check dimensions. (a) Calculate the requested quantity from the data. (b) Give the law or expression showing parameter dependence. (c) Examine a limit consistent with the model.

problems.proof.stepOf

problems.proof.prevStep problems.proof.nextStep

\boxed{f_{\rm approach}=f(1+v_o/c),\ f_{\rm recede}=f(1-v_o/c)}

problems.proof.analysis

The boxed results answer each part in order and satisfy the assumptions and dimensional requirements.