Frequency Converter

Frequency Converter is evaluated from Frequency Value and From Unit. The calculation reports Hertz, Kilohertz and Megahertz.

Results

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About the Frequency Converter

Frequency Converter is treated here as a quantitative relation between Frequency Value and From Unit and Hertz, Kilohertz, Megahertz and Gigahertz.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
1 kHz = 1,000 Hz
1 MHz = 10⁶ Hz
1 GHz = 10⁹ Hz
1 THz = 10¹^2 Hz
Hz → rad/s: ω = 2pi x f
Hz → RPM: RPM = f x 60

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

1 kHz = 1,000 Hz
1 MHz = 10⁶ Hz
1 GHz = 10⁹ Hz
1 THz = 10¹^2 Hz
Hz → rad/s: ω = 2pi x f
Hz → RPM: RPM = f x 60

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: WiFi 5 GHz Band

Inputs

value: 5 from_unit: GHz (gigahertz)
Hertz: 5,000,000,000 Hz. Kilohertz: 5,000,000 kHz. Megahertz: 5,000 MHz. Gigahertz: 5 GHz. RPM: 300,000,000,000 rpm. rad/s: 31,415,926,535.898 rad/s

With Frequency Value = 5 and From Unit = GHz (gigahertz) as the stated inputs, the result is Hertz = 5,000,000,000 Hz, Kilohertz = 5,000,000 kHz and Megahertz = 5,000 MHz. Each value corresponds to the declared output fields.

Example 2: FM Radio Station: 101.5 MHz

Inputs

value: 101.5 from_unit: MHz (megahertz)
Hertz: 101,500,000 Hz. Kilohertz: 101,500 kHz. Megahertz: 101.5 MHz. Gigahertz: 0.1015 GHz. RPM: 6,090,000,000 rpm. rad/s: 637,743,308.679 rad/s

With Frequency Value = 101.5 and From Unit = MHz (megahertz) as the stated inputs, the result is Hertz = 101,500,000 Hz, Kilohertz = 101,500 kHz and Megahertz = 101.5 MHz. Each value corresponds to the declared output fields.

Example 3: Car Engine at 3000 RPM

Inputs

value: 3000 from_unit: rpm (revolutions/min)
Hertz: 50 Hz. Kilohertz: 0.05 kHz. Megahertz: 0.00005 MHz. Gigahertz: 0.00000005 GHz. RPM: 3,000 rpm. rad/s: 314.159 rad/s

With Frequency Value = 3,000 and From Unit = rpm (revolutions/min) as the stated inputs, the result is Hertz = 50 Hz, Kilohertz = 0.05 kHz and Megahertz = 0.00005 MHz. Each value corresponds to the declared output fields.

Example 4: CPU Clock: 4.5 GHz

Inputs

value: 4.5 from_unit: GHz (gigahertz)
Hertz: 4,500,000,000 Hz. Kilohertz: 4,500,000 kHz. Megahertz: 4,500 MHz. Gigahertz: 4.5 GHz. RPM: 270,000,000,000 rpm. rad/s: 28,274,333,882.308 rad/s

With Frequency Value = 4.5 and From Unit = GHz (gigahertz) as the stated inputs, the result is Hertz = 4,500,000,000 Hz, Kilohertz = 4,500,000 kHz and Megahertz = 4,500 MHz. Each value corresponds to the declared output fields.

Common Use Cases

  • Convert WiFi frequency from GHz to MHz
  • Convert radio station frequency from MHz to Hz
  • Convert processor speed from GHz to MHz