# Problem: 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?

###### FREE Expert Solution

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

92% (326 ratings) ###### Problem Details

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?