A sinusoidal wave is described by the following equation, where x and y are in m

Question

A sinusoidal wave is described by the following equation, wherex and y are in meters and t is inseconds. y = (0.27m) sin(0.16x - 49t) Determine the following for this wave. (a) amplitude
m

(b) angular frequency
rad/s

(c) angular wave number
rad/m

(d) wavelength
m

(e) wave speed
m/s

(f) direction of motion +x
-x
+y
-y
y = (0.27m) sin(0.16x - 49t) (a) amplitude
m

(b) angular frequency
rad/s

(c) angular wave number
rad/m

(d) wavelength
m

(e) wave speed
m/s

(f) direction of motion +x
-x
+y
-y
+x
-x
+y
-y
+x
-x
+y
-y

Explanation / Answer

Given y = (0.27 m)sin(0.16x - 49t) compare this with y = A sin ( k x - t) (a). amplitude A = 0.27 m (b). angular frequency = 49 rad / s (c). angular wave number k = 0.16 rad / m (d). wavelength = 2 / k                           = 39.269 m (e). wave speed v = / k                             = 306.25 m / s (f) . It moves along +ve Y -axis

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