A sinusoidal wave on a string is described by the wave function y = 0.20 sin (0.90x - 51t) where x and y are in meters and t is in seconds. The mass per unit length of this string is 12.0 g/m. (a) Determine the speed of the wave. m/s (b) Determine the wavelength. (c) Determine the frequency. Hz

A sinusoidal wave on a string is described by the wave function y = 0.20 sin (0.90x - 51t) where x and y are in meters and t is in seconds. The mass per unit length of this string is 12.0 g/m. (a) Determine the speed of the wave. m/s (b) Determine the wavelength. (c) Determine the frequency. Hz

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 25P

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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

A sinusoidal wave on a string is described by the wave function
y = 0.20 sin (0.90x – 51t)
where x and y are in meters and t is in seconds. The mass per unit length of this string is 12.0 g/m.
(a) Determine the speed of the wave.
m/s
(b) Determine the wavelength.
m
(c) Determine the frequency.
Hz
(d) Determine the power transmitted by the wave.

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