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How do you calculate wave speed (v)?

Wave speed (v) is calculated as the product of frequency (f) and wavelength (λ): v = fλ.

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How do you calculate wave speed (v)?
Wave speed (v) is calculated as the product of frequency (f) and wavelength (λ): v = fλ.
How do you determine the equation of a wave from a graph?
1. Identify the amplitude (A) from the graph. 2. Determine the wavelength (λ) from the graph. 3. Substitute A and λ into the appropriate wave equation (e.g., $f(x) = A \cos(\frac{2π}{λ}x)$).
Given the period (T), how do you calculate the frequency (f)?
Frequency (f) is the inverse of the period (T): $f = \frac{1}{T}$
Given the frequency (f), how do you calculate the period (T)?
The period (T) is the inverse of the frequency (f): $T = \frac{1}{f}$
What are the steps to solve a problem involving periodic waves?
1. Identify the known variables (e.g., frequency, wavelength, amplitude). 2. Determine what you need to find (e.g., wave speed, period). 3. Choose the appropriate formula (e.g., v = fλ, T = 1/f). 4. Substitute the known values into the formula and solve.
Define 'periodic wave'.
A wave that repeats its pattern over and over again, characterized by wavelength, period, frequency, and amplitude.
What is the period (T) of a wave?
The time it takes for one complete wave cycle.
Define frequency (f) and its unit.
The number of wave cycles that happen in one second, measured in Hertz (Hz).
What is wavelength (λ)?
The distance between two identical points on a wave (e.g., crest to crest).
Define amplitude (A) of a wave.
The maximum displacement of the wave from its resting position.
What is angular frequency (ω)?
Angular frequency (ω) is a measure of how quickly the oscillations are occurring, expressed in radians per second. It's related to frequency (f) and period (T) by the equations: ω = 2πf = 2π/T
What is the difference between transverse and longitudinal waves?
Transverse: Displacement is perpendicular to wave direction. Longitudinal: Displacement is parallel to wave direction.
Compare the wave equation as a function of time and as a function of position.
Time: $f(t) = A \cos(ωt)$ describes the wave's displacement at a given time. Position: $F(x) = A \cos(\frac{2π}{λ}x)$ describes the wave's displacement at a given position.
Differentiate between frequency and angular frequency.
Frequency (f): Number of cycles per second (Hz). Angular frequency (ω): Rate of change of the wave's phase (rad/s), where ω = 2πf.
Compare and contrast wavelength and period.
Wavelength (λ): Spatial distance of one complete wave cycle. Period (T): Temporal duration of one complete wave cycle.
What is the difference between the general wave equation and the specific equations for periodic waves?
General wave equation: A partial differential equation describing wave displacement in terms of space and time. Specific equations: Use sine or cosine functions to describe simple periodic waves.