A transverse wave is described by y(x,t) = 0.0065sin(3.57x – 27.7t + π/4) (Units are standard units.) Determine:
a.) Amplitude
b.) Wavelength
c.) Frequency
d.) Period
e.) Speed of propagation
f.) Direction of travel
g.) Phase Constant
h.) The y-position of a point at x = 1.50m and t = 0.12 s. (remember radians!)

Question

A transverse wave is described by y(x,t) = 0.0065sin(3.57x – 27.7t + π/4)  (Units are standard units.) Determine:
a.) Amplitude
b.) Wavelength
c.) Frequency
d.) Period
e.) Speed of propagation
f.) Direction of travel
g.) Phase Constant
h.) The y-position of a point at x = 1.50m and t = 0.12 s. (remember radians!)

anonymous · Answer

A=0.0065m
wavelength=2*pi/k (k=wave number, here 3.57)
frequency=w/(2pi) (w=angular frequency, here 27.7)
Time period=1/frequency
Speed of propagation or wave speed=frequency*wavelength
Direction of travel=positive x axis (since - sign)
Phase constant=pi/4
y=0.0065sin(3.57*1.50-27.7*0.12+pi/4)

anonymous · Answer

Thank you very much! That was so helpful. I appreciate you giving the explanations of how to get each answer and not just giving me the answer! Seriously, THANK YOU!

anonymous · Answer

A=.0065 m 
wavelength=v/f w=2(pi)/T  T=1/f  v= differentiation of main function and a= differentiation 0f v function . phase constant =(pi)/4 . all of them can help you to solve this problem .