A mechanical wave is given by the equation: y(x,t) = 0.5 cos (62.8x – 15.7t) ,...

A mechanical wave is given by the equation: y(x,t) = 0.5 cos (62.8x – 15.7t) , Find: (1) Amplitude, frequency, wavelength? (2) The velocity of the wave? (3) The maximum velocity of the vibrations? (4) Write down the equation in the opposite direction?

Solutions

Expert Solution

Solution;

The given equation is

The above equation can be re-written as

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

The general equation of the harmonic wave travelling in +X is given by,

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

where is initial phase. Comparing (1) & (2), we have

(1) Amplitude

Wavelength

Velocity

frequency

(2) The velocity of the wave is

(3)

The angular speed

The maximum velocity

(4) The equation of the wave travelling in the opposite direction is given by,

genius_generous answered 1 year ago

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