What is the main formula of progressive wave
Question
What is the main formula of progressive wave
Solution
The main formula of a progressive wave, also known as a traveling wave, is given by:
y(x, t) = A sin(kx - wt + φ)
Where:
- y(x, t) is the displacement of the wave at position x and time t.
- A is the amplitude of the wave.
- k is the wave number, which is equal to 2π divided by the wavelength (λ).
- w is the angular frequency, which is equal to 2π times the frequency (f).
- φ is the phase constant, which determines the starting point on the wave cycle.
- x is the position along the wave.
- t is the time.
This formula describes a wave that is moving in the positive x-direction. If the wave is moving in the negative x-direction, the formula would be y(x, t) = A sin(kx + wt + φ).
Similar Questions
A progressive wave is represented by the equation𝑦(𝑥, 𝑡) = 2sin(𝜋𝑡 − 𝜋𝑥)where y and x are in centimeters and t in seconds.(a) Determine the angular frequency, the wavelength, the period, the frequency and thewave speed
A progressive wave equation is given as y=0.65sine1.2x -0.4t).Determine the period of the wave(ii) Determine the wave velocitya.15.2seconds (ii) 0.333m/sb.15.7 seconds (ii) 0.333m/sc.16.7seconds (ii) 0.033m/sd.17.7 seconds (ii) 3.33m/se.2seconds (ii) 33.3m/s
A progressive wave equation is given as y=0.65sine1.2x -0.4t).Use this information to answer question 5-8. (i)Determine the direction of the wave.(ii) Determine the wavelength of the wavea.Left (ii) 4.23b.Left (ii) 5 mc.Right (ii) 5m d.Right (ii) 5.23 me.left (ii) 2.65 mf.right (ii) 4.23
A longitudinal wave is a type of mechanical wave. Group of answer choicesTrueFal
(b) Sketch the graph of displacement against distance graph for progressive wave above ina range of 0 ≤ 𝑥 ≤ 𝜆 at time, t = 0 s.
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.