Assignment: Sound & Waves
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1 Assignment: Sound & Waves Name: Due: Part A: Periodic Motion Part B: Period, Frequency, Amplitude Part C: Universal Wave Equation Part D: Interference Waves Part E: Speed of Sound & Air Columns Total: /marks
2 Skill Builder Part A Periodic Motion Calculate period and frequency in periodic motion. 1. What is the period and frequency of a woodpecker s drilling if eight taps are heard in 2 s? 2. Explain how period and frequency change when you increase the speed of an electric mixer or drill. 3. The frequency of vibration of a pendulum is 0.75 Hz. Calculate the time required for five complete swings. 4. What are the period and frequency of the second hand, minute hand, and hour hand of the clock in your classroom? 5. The Moon goes around Earth in approximately 28 days. What is the Moon s period in seconds? What is its frequency in hertz? 6. Calculate the period and frequency of a performer on a trampoline who bounces three times in 6.5 seconds. 7. The trains between Toronto and Montreal leave every four hours. What is the frequency in trains per hour? 8. The strobe lights on the top of a police car are flashing at 2.25 Hz. How much time would it take for 10 flashes? Teacher: Mr. Chung Page 2 of 6
3 Skill Builder Part B Period, Frequency, Amplitude Reinforce your skills in calculating period, frequency, and amplitude. 1. What is the period corresponding to each of the frequencies listed below? (a) bell: 400 Hz (b) flag: 1 to 6 Hz (c) yellow light: 5 x Hz (d) car: 2400 rpm = 40 Hz (rpm stands for revolutions per minute ) 2. At a time when you are not disturbing anyone, tap the table with your hand as fast as you can, while watching the clock. Determine the frequency and period of the taps. 3. Estimate the frequency and period of your right leg as you walk briskly across a room. 4. What is the period in seconds and the frequency in hertz of the second hand of a watch? 5. Waves of red light from the Sun have a frequency of 4.6 x Hz. What is the period? 6. Alternating current electricity in your home has a frequency of 60 Hz. What is the period of oscillation of the electric current in your house wires? 7. High frequency sound waves hit your eardrum, one wave every 8.4 x 10-5 s. What is the frequency of the sound? 8. Sound waves with a frequency of 110 Hz are emitted when a bass drum is struck. What is the period of these waves? 9. An FM radio station s numeric channel is the radio wave s frequency in megahertz. That is, CBC 99.1 means that CBC s signal uses a radio wave of 99.1 MHz, which is 9.91 x 10 7 Hz. What are the frequency and period of the radio waves from your favourite radio channel? (Note: The units of AM radio channels are kilohertz [khz].) 10. The propeller of a boat s motor is spinning at 1800 rpm. What is the frequency of the propeller in hertz? What is its period in seconds? Teacher: Mr. Chung Page 3 of 6
4 Problem Solving Part C Universal Wave Equation Use the universal wave equation to solve problems. 1. To increase the wavelength of the waves you are sending down a rope, should you shake it at a higher (or lower) frequency, or should you increase the distance you move your hand, without changing the frequency? 2. If you change the frequency with which you shake the end of a rope, how does the velocity of the wave you send down the rope change? 3. In the following diagram the horizontal and vertical scales are in centimetres. d d a. How many wavelengths are shown? b. What is the wavelength in centimetres? c. What is the amplitude in centimetres? d. When one wave passes by, what distance does a particle of the medium move (think vertically)? 4. A wave in a rope has an amplitude of 5.0 cm. How far will a particle of the rope travel when one wave goes by? 5. What is the velocity of a wave with period 0.50 s and wavelength 300 m? Teacher: Mr. Chung Page 4 of 6
5 Reinforcement Part D Interference Waves Use the principle of superposition to determine the resultant wave. Each of the following diagrams shows a pair of waves in the same medium. Draw the resultant wave in each case. (Hint: Remember that when more than one wave is travelling through a medium, no matter in what direction, the height of the resultant wave is the sum of the amplitudes of the individual waves.) Teacher: Mr. Chung Page 5 of 6
6 Problem Solving Part E Speed of Sound & Air Column Reinforce your skills in solving speed of sound problems with reference to air column. Teacher: Mr. Chung Page 6 of 6
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