Question

a transverse harmonic wave on the string is described by
y(x,t)=2.0sin(314t+6.28x+π/6)
(i)what are its amplitude and frequency.
(ii)what is the least distance between two successive troughs in the waves.
(iii)is this a travelling or stationary wave? if its travelling, what are the speed and direction of its propagation.
(iv)if this wave is incident on a rigid boundary, write the expression for reflected wave.

Answer 1

Explanation:

We know that

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=

k

2π

=

80

2π

=(

40

π

)m

3) Time period T=

ω

2π

=

3

2π

sec

frequency f=

T

1

=

2π

3

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.

Answer 2

Answer:

l hope you helped them.

Explanation:

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