Question

A wave travelling along a string is described by, y (x, t) = 0.005 Sin(80.0x – 3.0t) in which the numerical constants are in SI units. Calculate the wavelength and frequency of the wave.​

Answer 1

Answer:

WKT:

General equation of wave

y(x,t)=Asin(kx−ωt)

comparing this equation with given equation

1) A=0.005m → amplitude

k=80

ω=3

2) λ= 2π/k = 2π/80=(π/40)m

3) Time period T= 2π/ω =2π/3 sec

frequency f= 1/T

= 3/2π Hz

4) Displacement at x=0.3m

t=20 sec

y=0.005sin(80×0.3−3×20)

=0.005sin(24−60)=0.005sin(−36)

=0.00495m

y=4.9mm.