Question
The equation of the wave is given by y=10^-4sin(100t-x÷10)m, find the velocity of the wave?
Answers
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The equation of a wave is given by:
y = A sin(kx - ωt)
where A is the amplitude, k is the wave number, ω is the angular frequency, and t and x are time and position variables, respectively.
Comparing this equation with y = 10^-4 sin(100t - x/10) given in the question, we find that:
A = 10^-4
k = 1/10
ω = 100
The velocity of a wave is given by:
v = ω/k
Substituting the values, we get:
v = 100/(1/10) = 1000 m/s
Therefore, the velocity of the wave is 1000 m/s.
y = A sin(kx - ωt)
where A is the amplitude, k is the wave number, ω is the angular frequency, and t and x are time and position variables, respectively.
Comparing this equation with y = 10^-4 sin(100t - x/10) given in the question, we find that:
A = 10^-4
k = 1/10
ω = 100
The velocity of a wave is given by:
v = ω/k
Substituting the values, we get:
v = 100/(1/10) = 1000 m/s
Therefore, the velocity of the wave is 1000 m/s.