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Frequency Formula

Frequency formula: explore more about the frequency formula with solved examples.

Frequency Formula

Small Description: Hertz is a unit of measurement for frequency (Hz). The frequency of such waves is calculated using the frequency formula.

The equation is used to determine a wave’s frequency. The number of iterations performed per unit time is known as frequency. It also shows how many crests pass past a specific spot in a given amount of time. It’s also known as the reciprocal of time. Hertz is a unit of measurement for frequency (Hz). The frequency of such waves is calculated using the frequency formula. 

The total number of repetitions of a recurring event/unit of time is known as frequency. Depending on the quantities known, multiple frequency formulae can be used to compute frequency. The frequency of a wave is calculated using the formula for

  • frequency (f)
  • time period (T)
  • wave speed (V)
  • wavelength (λ)

One Hertz (Hz) is one cycle every second.

Various Formulae

where, T = time period. The above formula gives the relationship between frequency and time period. Both are inversely proportional to each other.

where, λ = wavelength of a wave and 𝜈 = wave speed. Here lambda (λ) is inversely proportional whereas wave number is directly proportional to the frequency.

where, ω = angular velocity. 

Solved Examples

1. Calculate the frequency of a wave with a cycle time of 0.25 s using the frequency formula.

And T = 0.25 s given. Substituting in above equation we get, 

f = 1/0.25 = 4 

therefore, the frequency is 4 Hz

2. If the wavelength of the light is 300 nm, then find the frequency of that light wave.

Wavelength = 300 nm = 300 × 10-9m = 3 ×10-7m 

Also, we know that speed of light = 3×108m

therefore, the frequency is 1 × 1015Hz.

3. Calculate the frequency of the pendulum that takes 12 seconds to complete one cycle.  

Here, Time period (T) = 12 second. 

f = 1/T = 1/12

f = 0.833

Therefore, the frequency of the pendulum is 0.833 Hz.

4. Determine the angular velocity of the wave, if the frequency is 20 hertz.

Here, f = 20 Hz.

Now using the formula for frequency, we get,

20 × 2π = ω

40π = ω

Therefore, the angular velocity is 40π.

faq

Frequently Asked Questions

Get answers to the most common queries related to the Frequency Formula.

What Is the S.I unit for frequency?

Ans. S.I unit for frequency is hertz denoted as Hz.

 

State the relationship between angular velocity and frequency.

Ans. Angular velocity and frequency are directly proportional to each other and is expressed mathematically as:...Read full

If frequency increases then time period increases or decreases?

Ans. S.I unit of time is second, expressed as “s”Since frequency and time period are inversely proportional to e...Read full