Answer: A thin, 75.0-cm wire has a mass of 16.5 g. One end

Chapter 15, Problem 19E

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QUESTION:

Problem 19E

A thin, 75.0-cm wire has a mass of 16.5 g. One end is tied to a nail, and the other end is attached to a screw that can be adjusted to vary the tension in the wire. (a) To what tension (in newtons) must you adjust the screw so that a transverse wave of wavelength 3.33 cm makes 875 vibrations per second? (b) How fast would this wave travel?

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QUESTION:

Problem 19E

A thin, 75.0-cm wire has a mass of 16.5 g. One end is tied to a nail, and the other end is attached to a screw that can be adjusted to vary the tension in the wire. (a) To what tension (in newtons) must you adjust the screw so that a transverse wave of wavelength 3.33 cm makes 875 vibrations per second? (b) How fast would this wave travel?

ANSWER:

Solution 19E

Step 1 of 3:

Introduction:

A thin wire of mass 16.5g is connected to a screw at one end and a nail at the other. The screw is adjusted to produce mechanical vibrations. We have to find the tension required and the velocity of the mechanical wave produced.

Mass of the wire=16.5g=16.5x10-3kg

Length of the wire=75cm=0.75m

Wavelength of the wave produced=3.33cm=3.33x10-2m

Frequency of vibrations=875Hz

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