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Amplitude is something that relates to the maximum displacement of the waves. Furthermore, in this topic, you will learn about the amplitude, amplitude formula, formula’s derivation, and solved example.
Define amplitude, frequency, period, wavelength, and velocity of a wave; Relate wave frequency, period, wavelength, and velocity; Solve problems involving wave properties
Find the (a) amplitude, (b) wave number, (c) angular frequency, (d) wave speed, (e) initial phase shift, (f) wavelength, and (g) period of the wave. A surface ocean wave has an amplitude of 0.60 m and the distance from trough to trough is 8.00 m.
A student makes the following statements about waves. I In a transverse wave, the particles vibrate parallel to the direction of travel of the wave. II Light waves and water waves are both transverse waves.
This collection of problem sets and problems target student ability to use basic mathematical ideas such as frequency, period, wavelength, amplitude, and wave speed to analyze situations and solve problems associated with vibrations and waves.
Amplitude Solved Examples. Problem 1: If y = 5 sin ω t represents the wave, find the amplitude of the wave. Solution: Given: y = 5 sin ω t. The equation is of the form. y = A sin ω t. Henceforth, the amplitude is A = 5. Problem 2: The equation of a progressive wave is given by. \ (\begin {array} {l}y=5\sin (10\pi t-0.1\pi x)\end {array} \)
We will use the formulas \(k=2\pi/\lambda\) and \(\omega=2\pi f\) to rewrite this equation in the form \(D=(a(t\pm x/v))\). The frequency, \(f\), of the wave will be the same in both ropes. The velocity of the wave, and therefore its wavelength, depends on the mass density of the rope.