Known values Mass of Sun: 1.99×103º kg; Mass of Earth: 5.98×10²ª kg; Mass of Moon: 7.36×10²² kg; Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'' m; Earth-Moon distance = 3.82×10* m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = - MR²; Damped harmonic motion function: x(t) = xoe-{/2t cos(w't + 4); t =";w' = wo.]1 – ); wo = 2mwo' b. The equation of a plane sound wave is, y(x, t) = 6.0 × 10-6 sin(5.7x – 1500t). Find the frequency, the wavelength and the velocity of the wave. Compare the wavelength with the amplitude of the oscillations and the wave velocity with the amplitude of the velocity of the oscillations. What is the phase shift between the oscillations of two points 30.0 cm apart in the direction of the sound wave?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
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Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
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Known values
Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg;
Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10" m; Earth-Moon distance = 3.82×10$ m; Radius
of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = -MR²; Damped harmonic motion
k
-t/2r cos(@'t + 4); t = ";w'
b
= wo 1 – ( 2; wo =
2mwo"
m.
function: x(t)
= xoe
b. The equation of a plane sound wave is, y(x,t) = 6.0 × 10-6 sin(5.7x – 1500t). Find the
frequency, the wavelength and the velocity of the wave. Compare the wavelength with the
amplitude of the oscillations and the wave velocity with the amplitude of the velocity of the
oscillations. What is the phase shift between the oscillations of two points 30.0 cm apart in the
direction of the sound wave?
Transcribed Image Text:Known values Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg; Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10" m; Earth-Moon distance = 3.82×10$ m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = -MR²; Damped harmonic motion k -t/2r cos(@'t + 4); t = ";w' b = wo 1 – ( 2; wo = 2mwo" m. function: x(t) = xoe b. The equation of a plane sound wave is, y(x,t) = 6.0 × 10-6 sin(5.7x – 1500t). Find the frequency, the wavelength and the velocity of the wave. Compare the wavelength with the amplitude of the oscillations and the wave velocity with the amplitude of the velocity of the oscillations. What is the phase shift between the oscillations of two points 30.0 cm apart in the direction of the sound wave?
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