N ook oo 10. 11. 12. 13. 14. 15 1F. 18. 19. An amusement park ride has a frequency of 0.05 Hz. What is the ride's period? (20 s) An amusement park ride swings back and forth once every 40.0 s. What is the ride's frequency? (0.025 Hz) By what factor should the length of a simple pendulum be changed if you wish to triple the frequency? (9) What happens to the period of a simple pendulum when the pendulum's length is doubled? What happens when the mass of the pendulum mass is doubled? (increases by v2; nothing) Determine the period of a 4.12 m long pendulum. (4.07 s) A pendulum that moves through its equilibrium position once every 1.000 s is called a \"seconds pendulum\". a. What is the period of any \"seconds pendulum\"? (2.000 s) b. In England, a \"seconds pendulum\" is 0.9942 m long. What is \"g\" in Cambridge? (9.812 m/s2) c. InTokyo, a \"seconds pendulum\" is 0.9927 m long. What is \"g" in Tokyo? (2.798 m/s2) A visitor to a lighthouse wishes to determine the height of a tower. The visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. The period of the oscillation is 9.49 s. What is the height of the tower? (22.4 m) Green light has a wavelength of 5.20 x 10-7 m and travels through the air at 3.00 x 108 m/s. Calculate the period and the frequency of green light waves at this wavelength. (1.73 x 10-15s, 5.77 x 1014 Hz) What are the first three harmonics of a note produced on a 31.0 cm long violin string if waves on this string have a speed of 274.4 m/s? (443 Hz, 886 Hz, 1330 Hz) A pipe organ (open at both ends) has a fundamental frequency of 320 Hz. The speed of sound is 331 m/s. a. What is the length of this pipe? (52 cm) b. What are the next two harmonics? (640 Hz, 960 Hz) c. What is the fundamental frequency of this pipe when the speed of sound is increased to 367 m/s due to a rise in air temperature? (350 Hz) The human ear canal is about 2.8 cm long and can be regarded as a tube open at one and closed at the other by the ear drum. What is the fundamental frequency around which we would expect hearing to be best when the speed of sound in air is 340 m/s? (3000 Hz) . A wave has a wavelength of 0.50 m and a speed of 20 m/s. What is the wave frequency? (40 Hz) 16. If a 2640 Hz whistle produces sound waves with a wavelength of 50 cm in water, what is the speed of sound in water? (1320 m/s) A musical tone sounded on a piano has a frequency of 410 Hz and a wavelength of 0.80 m. What is the speed of the wave? (330 m/s) Waves propagate along a stretched string at a speed of 8.0 m/s. The end of the string vibrates up and down once every 1.5 s. What is the wavelength of the waves that travel along the string? (12 m) Bats can detect small objects, such as insects, that are approximately the size of one wavelength. If a bat emits a chirp at a frequency of 60.0 kHz and the speed of sound waves in air is 330 m/s, what is the size of the smallest insect they can detect? (5.5 mm)