All Flashcards
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: describes the wave's displacement at a given time. Position: 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.
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
Label the parts of a transverse wave.
1: Crest, 2: Trough, 3: Wavelength, 4: Amplitude
Identify the amplitude (A) and wavelength (λ) on a wave graph.
Amplitude: The vertical distance from the resting position to the crest or trough. Wavelength: The horizontal distance between two consecutive crests or troughs.
On a graph of displacement vs. time for a wave, what does the period represent?
The period (T) is the time it takes for one complete cycle of the wave, measured along the time axis.
On a graph of displacement vs. position for a wave, what does the wavelength represent?
The wavelength (λ) is the distance between two consecutive identical points on the wave (e.g., crest to crest), measured along the position axis.
Given a wave graph, how do you determine the frequency?
- Find the period (T) from the graph. 2. Calculate the frequency using the formula: