Question #f6eef

2 Answers
Jan 17, 2018

2 m^-1

Explanation:

Wave number = 1/lambda (where, lambda is the wavelength)

From the given equation,comparing it with y=a sin (omegat-theta) we get, omega=100 pi

so,frequency(nu) = omega/(2pi) = 50 Hz

now,we know c=nulambda (where c is the velocity of the wave)

so, 1/lambda = 2 m^-1

Jan 17, 2018

k=3.14m^-1

Explanation:

The speed of a wave is:
v=flamda
In terms of omega and wave number:
v = (2pif)/(2pi1/lamda) = omega/k
rArr k = omega/v = (100pi/cancels)/(100m/cancels) = pi/m = 3.14m^-1