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Frequency Converter

Hz, RPM, Rad/s & Time Period

What is Frequency?

Frequency measures how often an event repeats itself over a specific time. In physics and engineering, the standard unit is Hertz (Hz), which simply means "cycles per second."

  • 1 Hz: Happens once every second (e.g., a ticking clock).
  • 60 Hz: Happens 60 times per second (e.g., standard AC electricity).
  • 100 MHz: Happens 100 million times per second (e.g., FM Radio).

The Relationship with Time (Period)

Frequency and Time are inverse cousins. The "Period" (T) is the time it takes to complete one cycle.

Formula: f = 1 ÷ T

If you know the time, you know the frequency:

  • If a wave takes 0.5 seconds to repeat, the frequency is 2 Hz.
  • If a wave takes 0.001 seconds (1 ms), the frequency is 1000 Hz (1 kHz).

RPM: The Mechanic's Unit

While physicists use Hz, mechanics and car enthusiasts use RPM (Revolutions Per Minute). It measures rotational speed.

The Calculation:
Since there are 60 seconds in a minute:
1 Hz = 60 RPM.
If your car engine is spinning at 3,000 RPM, that means the crankshaft is rotating 50 times every single second (50 Hz).

Audio Frequency Spectrum

Sound is just a vibration (frequency) traveling through air. The human ear can detect a specific range of these vibrations.

Range Frequency Description
Infrasound < 20 Hz Felt as vibration (Earthquakes, Elephants).
Bass 20 Hz - 250 Hz Deep sounds, drum beats.
Midrange 250 Hz - 4 kHz Human voice range.
Treble 4 kHz - 20 kHz Cymbals, bird chirps.
Ultrasound > 20 kHz Dog whistles, Medical imaging.