Sinusoidal Waves and Intensity

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Homework Statement

For this assignment, its on traveling waves. If you'll have a look at it, you'll see I've been unable to solve questions questions 20-23 and question 33. Can you please help me solve them? Also can you please verify if I've done questions 25- 31 correctly?

Homework Equations

Y(x,t) = Asin(kx-wt+theta)
Y(x,t-0) = Asin(theta)

The Attempt at a Solution

shown on attachments

 

[Jhero]

Hello,

Thank you for reaching out for help with your assignment on traveling waves. I am happy to assist you with solving questions 20-23 and 33, as well as verifying your solutions for questions 25-31.

Question 20:

To solve this question, we need to use the relationship between the amplitude and wavelength of a wave. The equation is given by:

λ = 2π/k

where λ is the wavelength and k is the wave number. We know that the wave number is given by:

k = 2π/λ

Substituting in the given values, we get:

k = 2π/0.05 = 40π

Therefore, the wave number is 40π and the wavelength is 0.05 m.

Question 21:

To solve this question, we need to use the relationship between the frequency and period of a wave. The equation is given by:

f = 1/T

where f is the frequency and T is the period. We know that the period is given by:

T = 1/f

Substituting in the given values, we get:

T = 1/20 = 0.05 seconds

Therefore, the period is 0.05 seconds and the frequency is 20 Hz.

Question 22:

To solve this question, we need to use the relationship between the velocity, frequency, and wavelength of a wave. The equation is given by:

v = λf

where v is the velocity, λ is the wavelength, and f is the frequency. We know that the velocity is given by:

v = 300 m/s

Substituting in the given values, we get:

300 = λ*20

Therefore, the wavelength is 15 m.

Question 23:

To solve this question, we need to use the equation for the phase constant, which is given by:

θ = wt

where θ is the phase constant, w is the angular frequency, and t is the time. We know that the angular frequency is given by:

w = 2πf

Substituting in the given values, we get:

w = 2π*20 = 40π

Therefore, the phase constant is 40π radians.

Question 33:

To solve this question, we need to use the equation for the phase constant, which is given by:

θ = wt

where θ is the phase constant, w is the angular