A transverse traveling sinusoidal wave on a string has a frequency of 100 Hz, a wavelength of 0.040 m, and an amplitude of 2.0 mm. The maximum acceleration in m/s2 of any point on the string is:
Correct answer: D. 790
- A. 0
- B. 395
- C. 130
- D. 790
Explanation
a = ω^2 x AWherea is the maximum accelerationω is the angular frequencyA is the amplitude of the waveω^2 = (2πf)^2= 4π^2f^2 = 4 x 9.8 x 1000 = 39200A = 2mm = 0.02ma = 39200 x 0.02 = 784 m/s^2
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About Waves
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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