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A sinusoidal wave travels along a string. The time for a particular point to move from maximum displacement to zero is 0.13 s. What are the (a) period and (b) frequency? (c) The wavelength is 1.9 m; what is the wave speed?

Respuesta :

Answer:

Part a)

T = 0.52 s

Part b)

[tex]f = 1.92 Hz[/tex]

Part c)

[tex]speed = 3.65 m/s[/tex]

Explanation:

As we know that the particle move from its maximum displacement to its mean position in t = 0.13 s

so total time period of the particle is given as

[tex]T = 4\times 0.13 = 0.52 s[/tex]

now we have

Part a)

T = time to complete one oscillation

so here it will move to and fro for one complete oscillation

so T = 0.52 s

Part b)

As we know that frequency and time period related to each other as

[tex]f = \frac{1}{T}[/tex]

[tex]f = \frac{1}{0.52}[/tex]

[tex]f = 1.92 Hz[/tex]

Part c)

As we know that

wavelength = 1.9 m

frequency = 1.92 Hz

so wave speed is given as

[tex]speed = wavelength \times frequency[/tex]

[tex]speed = 1.92 \times 1.9[/tex]

[tex]speed = 3.65 m/s[/tex]

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