Q.6 - Excercises And Problems

Expert-verifiedFound in: Page 415

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

What are the (a) amplitude, (b) frequency, and (c) phase constant of the oscillation shown in

a. amplitude

b. frequency

c. phase constant

From the given amplitude, frequency and phase constant.

The amplitude is the length of the peak from the time axis. From , it is clear that the amplitude is

The frequency is simply the number of waves per unit time. From , in the number of waves completed is

Therefore, frequency is,

Suppose the equation of the wave is,

Here, is the angular frequency of the wave, and is the phase constant.

The time period of the wave is,

Therefore, the angular frequency is,

Let's take what happens at

The equation takes the form,

Therefore, the initial phase constant or the initial phase is

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