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 :
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.
Similar Questions
A transverse periodic wave is represented by the equation y(x, t) = 2.50 cm cos(2,500 rad/s t − 15.0 m−1 x). What is the direction of the velocity of the wave?
For stationary wave, Y = 10 sin (300πt) sin ;value of distance between consecutive nodes is :-[t is in sec. and x in meter] 8 m16 m 4 m2 m
Q9. What is the expression for wave speed in the given equation: y = Asin(kx-wt + π)?
What is the wave number of a wave whose displacement, y is defined by the equation y = 25 cos (280t – 75x) in metres?*1 point28/m25/m75/m84/m
In a ripple tank, 14 full ripples are produced in 1 s. If the distance between a crest and next trough is 12 cm. Calculate velocity of the wave.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.