Name:____________________________________________________ Date:_________________ Class:________________ Physical Science- Wave Calculations Speed of a wave = wavelength x frequency v = λf The speed of a wave depends on the medium that it is travelling through. v= velocity (speed), measured in m/s λ= wavelength, measured in m f= frequency, measured in Hz (Hz = 1/s) f = 1/T f=frequency, measured in Hz T= period, measured in s 1. A wave along a guitar string has a frequency of 540 Hz and a wavelength of 2.5 meters. Calculate the speed of the wave. Equation Rearranged Equation Work Final Answer 2. The speed of sound in air is about 340 m/s. What is the wavelength of sound waves produced by a guitar string vibrating at 490 Hz? Equation Rearranged Equation Work Final Answer 3. The speed of light is 300,000,000 m/s. What is the frequency of microwaves with a wavelength of 0.01 meter? Equation Rearranged Equation Work Final Answer 4. What is the period of the microwaves in the above question? Equation Rearranged Equation Work Final Answer 5. The string on a piano that produces an A sharp vibrates with a frequency of 235 Hz. If the sound waves produced by this string have a wavelength in air of 1.49 meters, what is the speed of sound in air? Equation Rearranged Equation Work Final Answer 6. The average wavelength in a series of ocean waves is 15.0 meters. A wave crest arrives at the shore on an average of every 10.0 seconds, so the frequency is 0.100 Hz. What is the average speed of the waves? Equation Rearranged Equation Work Final Answer 7. An FM radio station broadcasts electromagnetic waves at a frequency of 94.5 MHz (equal to 94,500,000 Hz). These radio waves have a wavelength of 3.17 meters. What is the speed of the waves? Equation Rearranged Equation Work Final Answer 8. Green light has a wavelength of 0.00000052 meters. The speed of light is 300,000,000 m/s. Calculate the frequency of green light waves with this wavelength. Equation Rearranged Equation Work Final Answer 9. Calculate the period of the green light waves in the question above. Equation Rearranged Equation Work Final Answer 10. What is the wavelength of a sound wave with a frequency of 220 Hz if its speed is 340 m/s? Equation Rearranged Equation Work Final Answer 11. What is the period of the sound wave above? Equation Rearranged Equation Work Final Answer 12. Ocean waves are hitting a beach at a rate of 3.5 Hz. a. What is the period of the waves? Equation Rearranged Equation Work Final Answer Equation b. Calculate the speed of the waves if the distance between wave crests is 1.3 meters. Rearranged Equation Work Final Answer 13. The note A above middle C on a piano emits a sound wave with a wavelength of 0.77 meters. a. What is the frequency of the wave? Use 340 m/s as the speed of the sound wave. Equation Rearranged Equation Work Final Answer Equation b. What is the period of the sound wave? Rearranged Equation Work Final Answer 14. If the distance between 2 troughs of a wave is 2.6 meters and it is traveling at a speed of 129 m/s, find the period of the wave. Equation Rearranged Equation Work Final Answer PHYSICAL SCIENCE: INTRO TO WAVES REVIEW NAME __________________________________ Be able to fully describe or explain all of the following: Waves—what do they carry Medium—given a wave description, be able to state the medium Transverse waves o Crest, trough, amplitude, wavelength Longitudinal waves o Compressions, rarefactions, wavelength The primary difference between transverse and longitudinal waves (how is energy moved relative to the medium?) Frequency and it relationship to wavelength Period and its relationship to frequency The mathematical equations used to perform calculations among wavelength, speed, frequency, and period The appropriate units of measurement and variables that represent wavelength, speed, frequency, and period The major characteristics of the different forms of electromagnetic radiation What electromagnetic radiation is made of and how fast it travels The colors that make up the visible light spectrum in order of increasing or decreasing wavelength/frequency PRACTICE Wave Height (cm) 5 -5 1. 2. 5. 6. What type of wave is shown? Label the crest, trough, amplitude, wavelength. What type of wave is shown? Label a compression, a rarefaction, and one wavelength. 3. 4. What is the numerical value for amplitude of this particular wave? How many total waves are shown above?
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