Knowee
Questions
Features
Study Tools

Q9. What is the expression for wave speed in the given equation: y = Asin(kx-wt + π)?

Question

Q9.

What is the expression for wave speed in the given equation:
y=Asin(kxωt+π) y = A \sin(kx - \omega t + \pi)

🧐 Not the exact question you are looking for?Go ask a question

Solution

The wave speed (v) in a wave equation can be found using the relationship between wave speed, wavelength (λ), and frequency (f). This relationship is given by the equation v = fλ.

In the given wave equation y = Asin(kx-wt + π), the wave number k and angular frequency w are related to the wavelength and frequency of the wave respectively.

The wave number k is equal to 2π/λ and the angular frequency w is equal to 2πf.

Therefore, we can express the wave speed v in terms of k and w as follows:

v = w/k

This is the expression for wave speed in the given wave equation.

This problem has been solved

Similar Questions

Q9. What is the expression for wave speed in the given equation: y = Asin(kx-wt + π)?

The equation y = 4 + 2 sin (6t – 3x) represents a wave motion withamplitude 6 unitsamplitude 4 unitswave speed 2 unitswave speed 1/2 units

The velocity of the plane wave sin2(ωt - βx) isa) 2ω / βb) ω / 2βc) ω2 / β2d) ω / βSelect one:badc

A wave has a frequency of 0.40 Hz and a cycle lengthof 7.0 m. What is the wave speed?

30- wave has a frequency of 14 Hz and a wavelength of 3 m. At what speed will this wave travel?1 point42 m/s42 m4.67 m/s4.67 Hz

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.