Wave Notation

Part A = periodic

Part B = λ = v/f

Part C = decreases

Part D = radians

Part E = T = 1/f

Part F = ω = 2π * f

Solutions Below:

Part A

Traveling waves propagate with a fixed speed usually denoted as v (but sometimes c). The waves are called __________ if their waveform repeats every time interval T.

periodic

Part B

The fundamental relationship among frequency, wavelength, and velocity is

v = f / λ

Solve this equation to find an expression for the wavelength lambda.

Express your answer in terms of the velocity v and the frequency f.

λ = v/f

Part C

If the velocity of the wave remains constant, then as the frequency of the wave is increased, the wavelength __________.

decreases

Part D

The difference between the frequency f and the frequency ω is that f is measured in cycles per second or hertz (abbreviated Hz) whereas the units for omega are __________ per second.

radians

Part E

Find an expression for the period T of a wave in terms of other kinematic variables.

Express your answer in terms of any of f, v, ω, and simple constants such as pi.

Express your answer in terms of any of f, v, ω, and simple constants such as pi.

T = 1/f

Part F

What is the relationship between ω and f?

ω is the angular frequency. Since a full circle has 2π radians, just multiply f by 2π:

ω = 2π*f