Question

the equation of a progressive wave is y=4sinπ(60t+0.1x) find velocity​

Answer 1

Answer:

Explanation:

For any general wave in sinusoidal form

y  =A  sin(kx−ωt+ϕ)

Where A is the amplitude, k = 2π/λ  where λ is the wavelength

ω  =  2π

f  = angular frequency, where f = 1/T andϕ  is the phase angle shift.

y = 6sin (4πx - 160πt)

Amplitude = A = 6m

Angular frequency  ω

= 160πrad/s

Frequency = ω/2π = 80Hz

Wave number K = 4πm

Wavelength = 2π/k = 0,5m

Velocity = 40m/s

The, direction of wave movement is forward, perpendicular to direction of disturbance, ie transverse wave.