The equation y = 5 Sin (3x - 4t), where
y is in millimeters, x is in metres and t
is in seconds, represents a wave motion.
Determine the (i) frequency (ii) period
(iii) speed of the wave.

Frequency, f = 0.63 Hz

Period, T = 1.58 s

Speed of a wave, v = 1.34 m/s

Explanation:

The equation of a wave is given by :

...(1)

y is in mm

x is in meters

t is in seconds

The general equation of a wave is given by :

...(2)

(i) Compare equation (1) and (2) we get :

Since,

(ii) Period of wave is :

(iii) Speed of a wave,

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