A harmonic wave moving in the positive x direction has an am

A harmonic wave moving in the positive x direction has an amplitude of 3.5 cm, a speed of 40.0 cm/s, and a wavelength of 22.0 cm. Assume that the displacement is zero at x = 0 and t = 0. Calculate the displacement (in cm) due to the wave at x = 0.0 cm, t = 2.0 s. velocity = wavelength * frequency Incorrect. Tries 4/7 Previous Tries Calculate the displacement due to the wave at x = 10.0 cm, t = 20.0 s. I have already asked this question two times and chegg has gotten it wrong both times.

Solution

since the wave is moving in positive x-direction

Y=ASin(Wt-Kx)

Wave Number

K=2pi/lambda =2pi/0.22 =28.56

frequency

f=v/lambda =40/22 =1.818 Hz

angular frequency

W=2pif =2pi*1.818=3.636pi rad/s

a)

at x=0 ,t=2 s

Y=(3.5cm)Sin(3.636pi*2-0)

Y=-2.645 cm

b)

at X=10 cm and t=20 s

Y=(3.5 cm)Sin(3.636pi*20-28.56*0.1)

Y=-1.8923 cm