Frequency Calculator - Cycles per Second

This physics calculator helps you calculate frequency from period. Frequency is the number of complete cycles that occur in one second.

Frequency Definition

• Frequency: Number of cycles per unit time
• Formula: f = 1/T (Frequency = 1 ÷ Period)
• Units: Hertz (Hz) - 1 Hz = 1 cycle/second
• Relationship: Frequency and period are inversely related

Frequency Units

• Hertz (Hz): SI unit of frequency, 1 Hz = 1 cycle/s
• Kilohertz (kHz): 1 kHz = 1000 Hz
• Megahertz (MHz): 1 MHz = 1,000,000 Hz
• Gigahertz (GHz): 1 GHz = 1,000,000,000 Hz
• Terahertz (THz): 1 THz = 1,000,000,000,000 Hz
• RPM: Revolutions per minute (rotational frequency)

Frequency Applications

• Sound Waves: Pitch and audio frequency
• Electromagnetic Waves: Radio, light, X-rays
• Mechanical Systems: Vibrations and oscillations
• Electrical Systems: AC power and signals
• Biological Systems: Heartbeat and brain waves
• Communication: Radio, TV, and wireless networks

Frequency Ranges

• Infrasound: Below 20 Hz (earthquakes, wind)
• Audible Sound: 20 Hz - 20 kHz (human hearing)
• Ultrasound: Above 20 kHz (medical imaging)
• Radio Waves: 3 kHz - 300 GHz (communication)
• Microwaves: 300 MHz - 300 GHz (cooking, radar)
• Visible Light: 400-800 THz (colors)

Important Notes

• Frequency and period are inversely proportional
• Higher frequency = shorter period
• Frequency determines wave properties
• Frequency affects energy: E = hf (for photons)
• Frequency is related to wavelength: f = c/λ

Frequency Relationships

• Period: T = 1/f (Period = 1 ÷ Frequency)
• Angular Frequency: ω = 2πf (ω = 2π × frequency)
• Wavelength: λ = c/f (for electromagnetic waves)
• Energy: E = hf (for photons, h = Planck's constant)
• Wave Speed: v = fλ (for any wave)

Frequency Examples

• Human Speech: 85-255 Hz (fundamental frequency)
• Piano: 27.5 Hz (lowest A) to 4186 Hz (highest C)
• AM Radio: 535-1605 kHz
• FM Radio: 88-108 MHz
• Wi-Fi: 2.4 GHz and 5 GHz
• CPU Clock: 1-5 GHz

Frequency Effects

• Sound: Higher frequency = higher pitch
• Light: Higher frequency = shorter wavelength
• Energy: Higher frequency = more energy
• Penetration: Lower frequency = better penetration
• Resolution: Higher frequency = better resolution