A 1.2 meter string is stretched between two points. The velocity of a wave o the string is 200m/s. Draw and find the frequency and wavelength of the first and 3rd harmonics. Complete the table.

λ1 = f1 =

λ3 = f3 =

harmonic f λ

1

2

3

4

5

A 800g mass stretches a spring 40cm. The spring is then pulled downward and released causing it to vibrate up and down. What is the period of the vibrations? Graph the position, velocity and acceleration for one full period.

x

t

a

t

v

t

originalposition

The following graph represents a sound wave. Find the frequency, amplitude, and wavelength. Write a math model for the wave.

A pendulum takes 8 seconds to complete 3 cycles. Find the length of the pendulum.

A hiker yells and hears the echo from a distant canyon that is 800 meters away. How long will it take for the hiker to hear the echo? (Speed of sound = 340m/s).

A wave is produced by repeatedly dipping your finger in a pool 4 times every second. If the distance between the crest of the wave is 8cm, what is the speed of the wave?

Find the beat frequency. If one of the tuning forks is 300Hz, what are the possible values of the other tuning fork?

Each of the following diagrams represents a moving sound source. Identify which way the source is moving and whether its speed is equal to, greater than, or less than the speed of sound.