Question

Given below are functions of x and t are represent the displacement of wave . state whether these equations represent a progressive or stationary wave if it is progressive wave, give its direction also a)Y(x,t)=4 sin (80 x +3.0t).​

Answer 1

Answer:

Explanation:

For any general wave in sinusoidal form

y

=

A

sin

(

k

x

−

ω

t

+

ϕ

)

, the meanings of the symbols are as follows :

A

= Amplitude

k

=

2

π

λ

= wave number, where  

λ

is wavelength.

ω

=

2

π

f

= angular frequency, where  

f

=

1

T

is frequency, and T is period.

ϕ

= phase angle shift.

So in this case,  

y

=

6

sin

(

4

π

x

−

160

π

t

)

Amplitude  

A

=

6

m

.

Angular frequency  

ω

=

160

π

r

a

d

/

s

Frequency  

f

=

ω

2

π

=

80

H

z

Wave number  

k

=

4

π

m

−

1

Wavelength  

λ

=

2

π

k

=

0

,

5

m

Velocity  

v

=

f

λ

=

40

m

/

s

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

HOPE IT HELPS