A travelling wave moving from left to right has an amplitude of 0.15m, a frequency of 550Hz and a wavelength of 0.01m. The equation describing the wave is A. y = 0.15 sin 200π(x - 5.5t) B. y = 0.15 sin π(0.01x - 5.5t) C. y = 0.15 sin 5.5π(x - 200t) D. y = 0.15 sin π(550x - 0.01t)
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Step-by-step solution
4 stepsTo find the equation describing the travelling wave, we use the general form for a wave moving from left to right:
where is the amplitude, is the wave number, and is the angular frequency.
Given values:
Amplitude
Frequency
Wavelength
Calculate the wave number .
The wave number is given by the formula .
Calculate the angular frequency .
The angular frequency is given by the formula .
Substitute the values of , , and into the wave equation.
Compare this equation with the given options.
Let's examine option A:
Expand the term inside the sine function:So, option A becomes:
This matches the equation we derived.
The final answer is .
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