Chapter 16, Problem 15P

### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278

Chapter
Section

### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
ISBN: 9781337553278
Textbook Problem

# Transverse waves are being generated on a rope under constant tension. By what factor is the required power increased or decreased if (a) the length of the rope is doubled and the angular frequency remains constant, (b) the amplitude is doubled and the angular frequency is halved, (c) both the wavelength and the amplitude are doubled, and (d) both the length of the rope and the wavelength are halved?

(a)

To determine

The factor by which the required power increased or decreased.

Explanation

Formula to calculate the power required to generate the pulse is,

Â Â Â Â P=12Î¼Ï‰2A2vÂ Â Â Â Â Â Â Â (I)

Here, P is the power required to generate the pulse, Î¼ is the linear mass density, Ï‰ is the angular frequency, A is the amplitude of the wave and v is the speed of the wave

(b)

To determine

The factor by which the required power increased or decreased.

(c)

To determine

The factor by which the required power increased or decreased.

(d)

To determine

The factor by which the required power increased or decreased.

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