1. A 80cm 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 3 rd harmonics. Complete the table. λ 1 =f 1 = λ 3 =f 3 = harmonic fλ 1 2 3 4 5

2. A 400g mass stretches a spring 25cm. The spring is then pushed upward 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 original position

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

4. A pendulum completes takes 6 seconds to complete 5 cycles. Find the length of the pendulum.

5. A hiker yells and hears the echo from a distant canyon wall three seconds after he yells. How far away is the canyon wall? (Speed of sound = 340m/s).

6. A wave is produced by repeatedly dipping your finger in a pool 3 times every second. If the speed of the wave in the pool is 20cm/s, calculate the frequency and wavelength of the water wave.

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

8. 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.