The displacement of a wave traveling in the negative y-direction is d(y, t) = ( 5.20 cm ) sin ( 6.40 y+ 63.0 t ), where y is in m and t is in s.

a) what is the frequency of this wave?
b)what is the wavelength of this wave?
c)what is the speed of this wave?

Answer with Explanation:

We are given that

D(y,t)=

Where y is in m and t( in sec)

Compare it with general equation of displacement of wave travelling towards left

Then, we get A=5.2 cm,

a.We now that

Where =Linear frequency

=Angular frequency

=3.14

b.

Substitute the values then we get

Hence, the wavelength of the wave=0.98 cm

c.

Substitute the values then we get

Hence, the speed of the wave=9.8 cm/s