Title: Vibration
Content: as given by Newton's second law of motion: The sum of the forces on the mass then generates this ordinary differential equation: formula_3 This solution says that it will oscillate with simple harmonic motion that has an amplitude of "A" and a frequency of "f". The number "f" is called the undamped natural frequency. For the simple mass–spring system, "f" is defined as: Note: angular frequency ω (ω=2 π "f") with the units of radians per second is often used in equations because it simplifies the equations, but is normally converted to ordinary frequency (units of Hz or equivalently cycles

Title: Vibration
Content: per second) when stating the frequency of a system. If the mass and stiffness of the system is known, the formula above can determine the frequency at which the system vibrates once set in motion by an initial disturbance. Every vibrating system has one or more natural frequencies that it vibrates at once disturbed. This simple relation can be used to understand in general what happens to a more complex system once we add mass or stiffness. For example, the above formula explains why, when a car or truck is fully loaded, the suspension feels ″softer″ than unloaded—the mass has

Title: Wave
Content: per unit distance (typically per meter), can be associated with the wavelength by the relation The period formula_33 is the time for one complete cycle of an oscillation of a wave. The frequency formula_34 is the number of periods per unit time (per second) and is typically measured in hertz denoted as Hz. These are related by: In other words, the frequency and period of a wave are reciprocals. The angular frequency formula_28 represents the frequency in radians per second. It is related to the frequency or period by The wavelength formula_30 of a sinusoidal waveform traveling at constant speed

Title: Frequency
Content: rate of oscillatory and vibratory phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light. For cyclical processes, such as rotation, oscillations, or waves, frequency is defined as a number of cycles per unit time. In physics and engineering disciplines, such as optics, acoustics, and radio, frequency is usually denoted by a Latin letter "f" or by the Greek letter "formula_1" or "ν" (nu) (see e.g. Planck's formula). The relation between the frequency and the period formula_2of a repeating event or oscillation is given by The SI derived unit of frequency is the hertz (Hz), named after the

Title: Molecular vibration
Content: that can take values of 0, 1, 2 ... In molecular spectroscopy where several types of molecular energy are studied and several quantum numbers are used, this "vibrational quantum number" is often designated as "v". The difference in energy when "n" (or "v") changes by 1 is therefore equal to formula_13, the product of the Planck constant and the vibration frequency derived using classical mechanics. For a transition from level "n" to level "n+1" due to absorption of a photon, the frequency of the photon is equal to the classical vibration frequency formula_14 (in the harmonic oscillator approximation). See quantum

Question: What can be expressed as the number of cycles of a vibration occurring per unit of time?
Answer: Frequency