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23 Nov 2019

The tension in a taut rope is increased by a factor of 9. How doesthe speed of wave pulses on the rope change, if at all?



The speed is reduced by a factor of 3.



The speed is reduced by a factor of 9.



The speed is increased by a factor of 3.



The speed remains the same.



The speed is increased by a factor of 9.

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Beverley Smith
Beverley SmithLv2
27 Jun 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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If the speed of a car is increased by 50%, by what factor will its minimum braking distance be increased, assuming all else is the same?

Power is to be transmitted along a taut string by means oftransverse harmonic waves. The wave speed is 9 m/s and the linearmass density of the string is 0.009 kg/m. The power sourceoscillates with an amplitude of 0.46 mm.
(a) What average power is transmitted along the string if thefrequency is 420 Hz?


? mW

(b) The power transmitted can be increased by increasing thetension in the string, the frequency of the source, or theamplitude of the waves. By how much would each of these quantitieshave to increase to cause an increase in power by a factor of 100if it is the only quantity changed?
tension = ?
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A transverse harmonic wave travels on a rope according to the following expression:

 

The mass density of the rope is = 0.115 kg/m. x and y are measured in meters and t in seconds.

1) What is the amplitude of the wave?

2) What is the frequency of oscillation of the wave?

3) What is the wavelength of the wave?

4) What is the speed of the wave?

5) What is the tension in the rope?

6) At x = 3.8 m and t = 0.44 s, what is the velocity of the rope? (watch your sign)

7) At x = 3.8 m and t = 0.44 s, what is the acceleration of the rope? (watch your sign)

8) What is the average speed of the rope during one complete oscillation of the rope?

9) In what direction is the wave traveling?

10) On the same rope, how would increasing the wavelength of the wave change the period of oscillation?

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