A traveling wave has displacement D(x,t)=(1.60cm)sin(3.53x-5.64t), where x is in meters and t is in seconds. W

A traveling wave has displacement D(x,t)=(1.60cm)sin(3.53x-5.64t), where x is in meters and t is in seconds. What is the wave speed of this wave?

I got 16 as my answer, but the answer is 1.6 m/s
amplitude is in cm,but that should not affect omega and k right
omega = 2pif and k = 2pi/ wavelength

I found lamda to be 1.78 and f to be 8.86

You calculated the wavelength correctly (1.78 m), but the frequency is WRONG
f = omega/2pi = 5.64/2pi = 0.90 Hz

v = f(lambda) = (0.90)(1.78) = 1.6 m/s