Chapter 16: Q. 57 (page 453)

FIGURE P16.57 shows a snapshot graph of a wave traveling
to the right along a string at 45 m/s. At this instant, what is the
velocity of points 1, 2, and 3 on the string?

Short Answer

Expert verified

The speed of point 1,2 and 3 are $- 19 m / s, 0$ and $19 m / s$ respectively.

Step by step solution

given information

Speed of wave, $v = 45 m / s .$

Now, the distance between one complete wave that is the wavelength of the wave is, $v = 30 c m = 0.3 m$

Amplitude of the wave, according to the diagram, $A = 2 c m = 0.02 m$

Speed of point 1, 2 and 3

Speed of point 1 and 3 are equal in magnitude and directed opposite. Also, at crest or trough, the speed of any particle remains zero.

Now, the angular frequency,

$ω = \frac{2 πv}{λ} ω = \frac{2 π \times 45 m / s}{0.03 m} ω = 300 π r a d / s$

Therefore, the speed of point 1 and 3 are,

$v_{1} = v_{3} = v_{m a x} = ω A \Rightarrow v_{m a x} = (300 π r a d / s) (0.02 m) \Rightarrow v_{1} = v_{3} = 19 m / s$

Thus, if we consider $v_{1} = - 19 m / s$ then $v_{3} = 19 m / s .$

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FIGURE P16.57 shows a snapshot graph of a wave traveling
to the right along a string at 45 m/s. At this instant, what is the
velocity of points 1, 2, and 3 on the string?

Short Answer

Step by step solution

given information

Speed of point 1, 2 and 3

One App. One Place for Learning.

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FIGURE P16.57 shows a snapshot graph of a wave travelingto the right along a string at 45 m/s. At this instant, what is thevelocity of points 1, 2, and 3 on the string?

Short Answer

Step by step solution

given information

Speed of point 1, 2 and 3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity and Magnetism

Famous Physicists

Engineering Physics

Further Mechanics and Thermal Physics

Kinematics Physics

Solid State Physics

Study anywhere. Anytime. Across all devices.

FIGURE P16.57 shows a snapshot graph of a wave traveling
to the right along a string at 45 m/s. At this instant, what is the
velocity of points 1, 2, and 3 on the string?