   Chapter 13, Problem 53P

Chapter
Section
Textbook Problem

Transverse waves with a speed of 50.0 m/s are to be produced on a stretched string. A 5.00-m length of string with a total mass of 0.060 0 kg is used. (a) What is the required tension in the string? (b) Calculate the wave speed in the string if the tension is 8.00 N.

(a)

To determine
The tension on the string.

Explanation

Given info: The speed of the transverse wave is 50.0ms-1 . The length of the string is 5.00m . The total mass at the string is 0.0600kg .

The wave speed in a stretched string is given as,

v=Fμ

• v is the wave speed
• F is the tension in the string
• μ is the mass per unit length of the string or the linear density of the string

Rearrange in terms of F.

F=μv2 (I)

The linear density of the string will be,

μ=mL

• m is the total mass of the string
• L is the length of the string

Substituting 0.0600kg for m and 5.00m for L to find μ .

μ=0.0600kg5

(b)

To determine
The speed of the transverse wave.

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