Period and frequency relationship

What is the relationship between frequency and period? - The Handy Physics Answer Book

period and frequency relationship

Frequency means oscillations (cycles) per second in Hz = hertz = 1/s. f = c / λ = wave speed c (m/s) / wavelength λ (m). λ = c / f = wave speed c (m/s) / frequency f (Hz). Wavelength, Period and Frequency The reason we have to be aware of this relationship is that our ears are sensitive to frequency, which we perceive as pitch. Frequency, f, is how many cycles of an oscillation occur per second and is measured in cycles per second or hertz (Hz). The period of a wave, T, is the amount of.

A periodic motion is a motion that repeats itself over and over again at regular intervals, such as the one exhibited by a guitar string or the back and forth motion of a child in a swing.

The time to complete one vibration cycle or oscillation is called the period of a wave. Frequency simply refers to the number of cycles of an oscillation occur per second.

Frequency - Wikipedia

Frequency of a wave simply refers to the number of complete cycles or oscillations that occur in one second. It is measured in cycles per second or hertz Hz.


A cycle is one complete oscillation and a vibration can be a single or multiple events, whereas oscillations are mostly repetitive for a number of cycles. Period is the inverse of frequency and is defined as the time taken for one complete round trip of the vibration or oscillation.

It simply refers to the time for something to occur periodically and it is measured in seconds per cycle. The time period is reciprocal of the frequency which means both the quantities are inversely proportional to each other.

In equation form, period is expressed as: Difference between Period and Frequency Definition of Period and Frequency Both the terms period and frequency are related because they exhibit a certain pattern of movement, yet they are distinctly different. Both are related to periodic phenomenon and are often confused with each other.

Difference Between Period and Frequency

Period refers to the amount of time it takes a wave to complete one full cycle of oscillation or vibration. Frequency, on the contrary, refers to the number of complete cycles or oscillations occur per second. Period is a quantity related to time, whereas frequency is related to rate. Period simply refers to the time for something to occur periodically, whereas frequency means how often that happens. Relationship of Period and Frequency Both the quantities are inversely proportional to each other.

The frequency is expressed in cycles per second, waver per second, vibrations per second, etc. The period is expressed in seconds per cycle.

period and frequency relationship

In mathematical terms, both the quantities are reciprocal of each other. In equation form, frequency and period are expressed as: It can also be expressed as: The frequency and period are inversely proportional to each other.

period and frequency relationship

The strobe light is pointed at the rotating object and the frequency adjusted up and down. When the frequency of the strobe equals the frequency of the rotating or vibrating object, the object completes one cycle of oscillation and returns to its original position between the flashes of light, so when illuminated by the strobe the object appears stationary.

Then the frequency can be read from the calibrated readout on the stroboscope. A downside of this method is that an object rotating at an integral multiple of the strobing frequency will also appear stationary. Frequency counter Modern frequency counter Higher frequencies are usually measured with a frequency counter.

This is an electronic instrument which measures the frequency of an applied repetitive electronic signal and displays the result in hertz on a digital display.

It uses digital logic to count the number of cycles during a time interval established by a precision quartz time base.

period and frequency relationship

Cyclic processes that are not electrical in nature, such as the rotation rate of a shaft, mechanical vibrations, or sound wavescan be converted to a repetitive electronic signal by transducers and the signal applied to a frequency counter. This represents the limit of direct counting methods; frequencies above this must be measured by indirect methods. Heterodyne methods[ edit ] Above the range of frequency counters, frequencies of electromagnetic signals are often measured indirectly by means of heterodyning frequency conversion.

A reference signal of a known frequency near the unknown frequency is mixed with the unknown frequency in a nonlinear mixing device such as a diode.