Frequency Unit Converter

What is Frequency?

Frequency is a fundamental concept in physics that describes the number of occurrences of a repeating event per unit of time. In wave motion, it refers to the number of wave cycles that pass a fixed point in space per unit of time. Frequency is a scalar quantity and is measured in units of hertz (Hz).

Formula and Units

The basic formula for frequency is:

\[f = \frac{1}{T}\]

Where:

• \(f\) is the frequency
• \(T\) is the period (time for one complete cycle)

Common frequency units include:

• Hertz (Hz): The SI unit of frequency, equal to one cycle per second
• Kilohertz (kHz): Equal to 1,000 Hz
• Megahertz (MHz): Equal to 1,000,000 Hz
• Gigahertz (GHz): Equal to 1,000,000,000 Hz
• Terahertz (THz): Equal to 1,000,000,000,000 Hz
• Revolutions per minute (rpm): Used in rotational motion, equal to 1/60 Hz

Calculation Steps

To convert between frequency units, follow these steps:

1. Identify the initial and target units
2. Use the conversion formula: \(f_{target} = f_{initial} \times \frac{ConversionFactor_{initial}}{ConversionFactor_{target}}\)
3. Apply the appropriate conversion factors
4. Calculate and round the result to the desired precision

Example and Visual Representation

Let's convert 1000 Hz to kHz:

\[1000 \text{ Hz} \times \frac{1 \text{ kHz}}{1000 \text{ Hz}} = 1 \text{ kHz}\]

This diagram illustrates a sine wave representing the frequency. The wave completes one full cycle in the same time, whether we measure it as 1000 Hz or 1 kHz, demonstrating that these two representations describe the same frequency.