amplitude A = 2; period 2 π /B = 2 π /4 = π /2; phase shift = −0.5 (or 0.5 to the right) vertical shift D = 3; In words: the 2 tells us it will be 2 times taller than usual, so Amplitude = 2; the usual period is 2 π, but in our case that is "sped up" (made shorter) by the 4 in 4x, so Period = π /2; and the −0.5 means it will be shifted ...

Teacher Support [BL] For sound, a higher frequency corresponds to a higher pitch while a lower frequency corresponds to a lower pitch. Amplitude corresponds to the loudness of the sound. [BL] [OL] Since sound at all frequencies has the same speed in air, a change in frequency means a change in wavelength. [Figure Support] The same speaker is capable of reproducing both high …

Example 1: y = 2sin(4t) is a wave. Find its amplitude. Solution: Given: equation of wave y = 2sin(4t) Using amplitude formula, x = A sin(ωt + ϕ) On comparing it with the wave equation: A = 2 ω = 4 ϕ = 0. Therefore, the amplitude of the wave = 2 units. Example 2: The equation of a wave is given by x = 10sin(5πt+π) is a wave. Find its ...

Jul 19, 2024 · The wave equation y = 2sin(4t) Using the formula for amplitude, x = A sin(ωt + ϕ) When comparing the wave equation to the equation of motion, A = 2. ω = 4. ϕ = 0. As a result, the amplitude of the wave is 2 units. Problem 5: Consider a jack-in-the-box toy with its head bouncing up and down on a spring.

Jan 26, 2025 · Example 1: If y = 7 cos (6t + 1) is a wave. Find its amplitude. Solution. Equation of wave y = 7 cos(6t + 1) Using amplitude formula, x= A cos (ωt + ϕ) On comparing it with the wave equation: A = 7. ω = 6. ϕ = 1. Therefore, the amplitude of the wave = 7 units. Example 2: Consider a jack-in-the-box toy with its head bouncing up and down on a ...

Jul 19, 2023 · The third step involves employing a formula that relates the available data to the unknown parameter. In the case of wave amplitude, we utilize the equation: Amplitude = Maximum Displacement. The maximum displacement represents the farthest point from the equilibrium position that a particle reaches as the wave passes through it.

The amplitude formula is also expressed as the average of the sine or cosine function's maximum and minimum values. The absolute value of the amplitude is always used. Example: A wave is y = 2sin(4t). Find out its amplitude. Solution: Given: wave equation y = 2sin (4t) using the amplitude formula, x = A sin(ωt + ϕ) When compared to the wave ...

The amplitude formula can alternatively be written as the average of the sine or cosine function's highest and lowest values. The absolute value of the amplitude is always used (Amplitude = (max + min) / 2) ... A large amount of energy is carried by a high amplitude wave, while a small amount of energy is carried by a low amplitude wave. A wave ...

Formula. The formula to calculate Amplitude (A) is: \[ A = \frac{D}{f} \] Where: ... Definition. Amplitude is the maximum displacement or distance moved by a point on a wave from its equilibrium position, representing the wave's intensity or magnitude. ... Wave Frequency is the number of oscillations or cycles of a wave that occur in a given ...

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