The equation of a wave travelling along the pos... - JAMB Physics 1999 Question
The equation of a wave travelling along the positive x-direction is given by;
y = 0.25 x 10-3 sin (500t - 0.025x).
Determine the angular frequency of the wave motion.
y = 0.25 x 10-3 sin (500t - 0.025x).
Determine the angular frequency of the wave motion.
A
0.25 x 10-3rad s-1
B
0.25 x 10-1rad s-1
C
5.00 x 102rad s-1
D
2.50 x 103rad s-1
correct option: c
The general wave equation is given by;
y = A Sin(wt - 2∏x/Wavelenght)
where w = angular frequency
Thus comparing this equation with the equation
y = 0.25 x 10-3 Sin (500t - 0.025x)
That Amplitude = 0.25 x 10-3m
the angular frequency w = 500 (the coefficient of t in both equations)
∴ w = 500 rad s-1
= 5.00 x 102rad s-1
y = A Sin(wt - 2∏x/Wavelenght)
where w = angular frequency
Thus comparing this equation with the equation
y = 0.25 x 10-3 Sin (500t - 0.025x)
That Amplitude = 0.25 x 10-3m
the angular frequency w = 500 (the coefficient of t in both equations)
∴ w = 500 rad s-1
= 5.00 x 102rad s-1
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