Relationship between period and frequency:

$\overline{){\mathbf{T}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{f}}}$

Relationship between velocity, frequency and wavelength:

$\overline{){\mathbf{v}}{\mathbf{=}}{\mathbf{\lambda f}}}$

Relationship between, distance, speed and time:

$\overline{){\mathbf{v}}{\mathbf{=}}\frac{\mathbf{d}}{\mathbf{t}}}$

**(a)**

T = 1/f

The period of the waves is 1/f

A student attaches a f = 4.5 kHz oscillator to one end of a metal rail of length L = 13 m. The student turns on the oscillator and uses a piezoelectric gauge at the other end to measure that the resulting sound wave takes t = 0.0068 s to travel the length of the rail.

(a) Input an expression for the period of the waves in the rail, in terms of the given quantities.

(b) What is the period, in seconds?

(c) What is the speed of the wave in the rail, in meters per second?

(d) What is the wavelength of the wave within the rail, in meters?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Sound Waves concept. You can view video lessons to learn Sound Waves. Or if you need more Sound Waves practice, you can also practice Sound Waves practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Tung's class at UCLA.