GCSE Physics Tutorial: Equation for Period and Frequency
Understanding the relationship between the period and frequency of a wave is fundamental in wave physics. These two properties are inversely proportional, meaning changes in one will directly affect the other. In this tutorial, we'll recall the equation that relates the period and frequency of a wave.
Equation for Period and Frequency:
The equation that relates the period ($T$) and frequency ($f$) of a wave is:
$f=1/T$
Where:
$f$ represents the frequency of the wave in Hertz (Hz).
$T$ represents the period of the wave in seconds (s).
Understanding the Equation:
Inverse Relationship: The equation clearly shows that frequency and period are inversely proportional. This means that as the frequency of a wave increases, its period decreases, and vice versa.
Units: Frequency is measured in Hertz (Hz), and period is measured in seconds (s). This equation ensures that the units match, as the reciprocal of seconds (1/s) is Hertz.
Reciprocal Relationship: The equation's structure emphasises that frequency is the reciprocal of the period. When the period is short (i.e., the wave cycles quickly), the frequency is high (i.e., the waves pass more frequently). Conversely, when the period is long, the frequency is low.
Application:
This equation is useful when you know one of the properties (frequency or period) and need to find the other. It's commonly used in wave calculations and analysis.
Real-World Example:
Imagine you have a guitar string vibrating at a frequency of 440 Hz (A4 note). Using the equation, you can calculate the period of the string's vibration:
$f=1/T=1440 s≈0.0023 s$, $T=1/f=4401s≈0.0023s$
Summary:
The equation $f=1/T$ represents the relationship between the frequency and period of a wave. Recognising and using this equation enables you to convert between these two properties and understand how changes in frequency correspond to changes in period, and vice versa.
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