Wave Anatomy
This specific term refers to the highest point or peak on a wave.
What is a crest?
This term refers to the material or substance (such as air, water, or a string) through which a mechanical wave must travel.
What is a medium?
This standard physics unit is used to measure a wave's frequency, representing complete cycles per second.
What is Hertz (Hz)?
State the algebraic formula for the Universal Wave Equation.
What is v=λf?
Playing a specific piano key produces a sound with a frequency of 190 Hz. Calculate the exact period (T) of this sound wave.
What is 0.0053 seconds? (Calculation: T = 1/190 = 0.0053 s)
This term is defined as the lowest physical point on a wave diagram.
What is a trough?
In this specific type of mechanical wave, particles of the medium vibrate perpendicular (at a right angle) to the direction of the wave's motion.
What is a transverse wave?
Defined as the time required for a wave source to complete one single full cycle, this metric is always measured in seconds.
What is the period (T)?
Under the Universal Wave Equation, what are the three standard metric units required for speed (v), wavelength (λ), and frequency (f)?
What are meters per second (m/s), meters (m), and Hertz (Hz)?
A transverse wave traveling down a string has a wave speed of 12 m/s and a frequency of 4.0 Hz. What is the physical distance between two consecutive troughs?
What is 3.0 meters? (The distance between consecutive troughs equals one wavelength; λ = v/f = 12/4.0 = 3.0 m)
This metric represents the maximum displacement of a particle/object from its baseline rest position.
What is amplitude (A)?
Because its particles compress and move parallel to the direction of the wave travel, sound is classified as this type of wave.
What is a longitudinal wave?
Mathematically speaking, frequency (f) and period (T) share this inverse functional relationship, meaning f = 1/T or T=1/f.
What are reciprocals?
To derive the Universal Wave Equation from standard speed (v = d/t), distance (d) is substituted by one wavelength, while time (t) is substituted by this variable.
What is one period (T)?
A wave has a wavelength of 2.0 meters and a period of 0.5 seconds. Calculate the velocity (v) of this wave.
What is 4.0 m/s? (Calculation: v = λ/T = 2.0/0.5 = 4.0 m/s)
On a physical wave diagram, this specific parameter is determined by measuring the linear distance from one crest to the next consecutive crest (the distance a single wave travels).
What is wavelength (λ)?
Ocean waves fall under this structural category, which consists of a complex combination of both transverse and longitudinal behaviors.
What are surface waves?
According to the exact definition provided in the notes, frequency (f) tracks this specific metric per second.
What are complete cycles or oscillations?
An air horn sounds at a frequency of 430 Hz. If the speed of sound in air is 275 m/s, what is the wavelength (λ) of this sound wave?
What is 0.64 meters? (Calculation: λ = v/f = 275/430 = 0.64 m)
A water wave is observed to have a period (T) of exactly 2.5 seconds. If the speed (v) of this wave is measured to be 1.5 m/s, what is its physical wavelength (λ)?
What is 3.75 meters? (Calculation: Using v = λf and f=1/T, we rearrange it to solve for wavelength: λ = v x T. Therefore, 1.5 m/s x 2.5 s = 3.75 meters)
If an observer measures the total vertical distance from the top of a crest straight down to the bottom of a trough to be 1.2 meters, what is the actual amplitude of this wave?
What is 0.6 meters? (Amplitude is the maximum displacement from rest, which is exactly half of the total crest-to-trough height: 1.2 / 2 = 0.6 m)
According to the notes, what is the fundamental functional difference between a wave's travel and standard matter displacement?
What is that a wave transmits energy from one point to another, but does not transmit matter?
If the calculated period (T) of a high-frequency musical oscillation is determined to be exactly 0.002 seconds, what is its corresponding frequency in Hertz?
What is 500 Hz? (Calculation: f = 1/T = 1/0.002 = 500 Hz)
A sound wave has a physical wavelength of 0.17 meters and travels at a speed of 340 m/s. What is the frequency of this sound wave?
What is 2000 Hz? (Calculation: f = v/λ = 340/0.17 = 2000 Hz)
The distance between successive crests in a series of water waves is 4.0 meters, and the crests travel a total distance of 8.6 meters in 5.0 seconds. Calculate the frequency (f) of a block of wood bobbing up and down on these waves.
What is 0.43 Hz? (Calculation: First find speed: v = 8.6 m/5.0 s = 1.72 m/s. Then isolate frequency: f = v/λ = 1.72/4.0 = 0.43 Hz)