The equation that describes a transverse wave on a string is y = (0.0120 m)sin[(927 rad/s)t - (3.00 rad/m)x] where y is the displacement of a string particle and x is the position of the particle on the string. the wave is traveling in the +x direction. what is the speed v of the wave?

Speed, v = 312.34 m/s

Explanation:

The equation that describes a transverse wave on the string is given by :

..............(1)

Where

y = displacement of a string particle

x = position of the particle on the string

The wave is travelling in the +x direction. We have to find the speed of the wave.

The general equation of traverse wave is given by :

................(2)

On comparing equation (1) and (2) we get,

k = 3 rad/m

Since,

..............(3)

Also,

Since,

...............(4)

Speed of the wave is the product of frequency and wavelength i.e.

Using equation (3) and (4), the speed of the wave can be calculated as :

v = 312.34 m/s

Hence, the speed of the transverse wave is 312.34 m/s

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