   Chapter 13, Problem 13CQ

Chapter
Section
Textbook Problem

Waves are traveling on a uniform string under tension. For each of the following changes, is the wave speed increased, decreased, or unchanged? Indicate your answers with “I” for increased, “D” for decreased, or “U” for unchanged. (a) The string tension is doubled while its mass and length are constant. (b) The string is folded in half and the tension is constant. (c) The string is cut to half its original length and the tension is constant. (d) The string is cut to half its original length and the tension is doubled.

a)

To determine
What happens to the wave speed when the tension is doubled while it’s mass and length is constant.

Explanation

The speed of a wave traveling on a stretched string of mass per unit length μ and under tension T is given by,

v=Fμ (1)

• v is the v

b)

To determine
What happens to the wave speed when the string is folded in half and the tension is constant.

c)

To determine
What happens to the wave speed when the string is cut to half and the tension is constant.

d)

To determine
What happens to the wave speed when the string is cut to half and the tension is doubled.

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