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Frequency

Revision as of 14:56, 18 February 2019 by NRJC (talk | contribs) (Equation)

Key Stage 3

Meaning

Frequency is the number of waves that pass by in one second.

About Frequency

Frequency is measured in Hertz (Hz).
Water Waves
WaveFrequency.gif
The frequency of this wave can be found by counting the number of times the red marker oscillates every second.
The higher the frequency the quicker the wave oscillates.
In sound frequency is known as pitch. A high pitch is a high frequency.
In light frequency affects the colour of the light. Red is a low frequency and violet is a high frequency.

Equation

Frequency = 1/(Period)

\(f = \frac{1}{T}\)

Where:

f = Frequency

T = time period (the time it takes for one wave to pass a point).

Key Stage 4

Meaning

Frequency is the number of waves that pass a given point in one second.

About Frequency

Frequency is a scalar quantity because it has magnitude but no direction.
The SI Unit of frequency is Hertz (Hz).
Water Waves
WaveFrequency.gif
The frequency of this wave can be found by counting the number of times the red marker oscillates every second.
The higher the frequency the quicker the wave oscillates.
In sound frequency is known as pitch. A high pitch is a high frequency.
In light frequency affects the colour of the light. Red is a low frequency and violet is a high frequency.
Frequency can be found by counting the number of waves which pass a point in a given time and dividing this by the time.

Equation

Equation 1

NB: You do not need to remember this equation but you should know how to find frequency given the time taken for one wave to pass a point.

Frequency = 1/(Period)

\(f = \frac{1}{T}\)

Where: f = Frequency

T = time period (the time it takes for a wave to pass a point).

Equation 2

NB: You do not need to remember this equation but you should know how to find frequency given the number of waves passing a point and the time taken.

Frequency = (Number of Waves which pass a point)/(Time taken for waves to pass a point)

\(f = \frac{n}{t}\)

Where: f = Frequency

n = Number of waves which pass a point.

t = The time taken for those waves to pass a point.

Equation 3

NB: You should remember this equation with v as the subject of the formula.

Frequency = (Wave Speed)/(Wavelength)

\( f = \frac{v}{\lambda}\)

Where\[ \lambda\] = The wavelength of the wave.

\(v\) = The wave speed of the wave.

\(f\) = The frequency of the wave.

Example Calculations

A scientist wants to determine the frequency of a pendulum. They count that the pendulum oscillates 15 times over 20 seconds. Calculate the frequency of the pendulum. A sailor notices a buoy bounce up and down 24 times over a minute. Calculate the frequency of the waves.
1. State the known quantities

n = 15

t = 20s

1. State the known quantities

n = 24

t = 60

2. Substitute the numbers into the equation and solve.

\(f = \frac{n}{t}\)

\(f = \frac{15}{20}\)

\(f = 0.75Hz\)

2. Substitute the numbers into the equation and solve.

\(f = \frac{n}{t}\)

\(f = \frac{24}{60}\)

\(f = 0.4Hz\)