Equation for progressive wave
1 answer:
Answer:
y(x, t) = A Sin(ωt ± kx)
Explanation:
Waves can be classifies as either stationary (standing), or progressive (travelling). A progressive wave is one the is a traveling wave, transferring energy along its path. While a stationary wave seems not to be moving.
The general equation for a progressive wave is;
y(x, t) = A Sin(ωt ± kx)
Where: A is its amplitude, t is the time, k is the wave number.
When the wave travels in the positive x-axis direction, the equation changes to;
y(x, t) = A Sin(ωt - kx)
When it travels in the negative x- axis direction, the equation becomes;
y(x, t) = A Sin(ωt + kx)
NB: ω = 2f and k = 2
/λ.
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Explanation:
It is given that,
Speed, v₁ = 7.7 m/s
We need to find the velocity after it has risen 1 meter above the lowest point. Let it is given by v₂. Using the conservation of energy as :
So, the velocity after it has risen 1 meter above the lowest point is 6.26 m/s. Hence, this is the required solution.