Question

A simple harmonic motion is represented by x=10sin(20t+0.5) write down its amplitude and angular frequency ,frequency time period and initial phase if displacement is measured in meter and time in second

Answer 1

For any general wave in sinusoidal form 

y=Asin(kx−ωt+ϕ), the meanings of the symbols are as follows :

A = Amplitude

k=2πλ = wave number, where λ is wavelength.

ω=2πf = angular frequency, where f=1T is frequency, and T is period.

ϕ = phase angle shift.

So in this case, y=6sin(4πx−160πt)

Amplitude A=6m.

Angular frequency ω=160πrad/s

Frequency f=ω2π=80Hz

Wave number k=4πm−1

Wavelength λ=2πk=0,5m

Velocity v=fλ=40m/s

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

Answer 2

Answer:

Explanation:

Hope it help u