A wave is represented by :y (x, t) = (5 cm) sin 1(20 s ) t− 1(15 cm ) x− + Determine the velocity of the wave.
Question
A wave is represented by :y (x, t) = (5 cm) sin 1(20 s ) t− 1(15 cm ) x− + Determine the velocity of the wave.
Solution
To determine the velocity of the wave, we need to find the coefficient of the x term in the equation. In this case, the coefficient is -1(15 cm).
The velocity of a wave is given by the formula v = λ * f, where v is the velocity, λ (lambda) is the wavelength, and f is the frequency.
In this equation, the wavelength is equal to the coefficient of the x term, which is -1(15 cm).
To find the frequency, we need to look at the coefficient of the t term, which is 1(20 s).
Now we can calculate the velocity of the wave.
v = λ * f v = -1(15 cm) * 1(20 s) v = -300 cm/s
Therefore, the velocity of the wave is -300 cm/s.
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