Kilohertz to Degrees per second
kHz
°/s
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 kHz (Kilohertz) → 360000 °/s (Degrees per second) Just now |
Quick Reference Table (Kilohertz to Degrees per second)
| Kilohertz (kHz) | Degrees per second (°/s) |
|---|---|
| 1 | 360,000 |
| 10 | 3,600,000 |
| 44.1 | 15,876,000 |
| 100 | 36,000,000 |
| 535 | 192,600,000 |
| 1,000 | 360,000,000 |
| 1,705 | 613,800,000 |
About Kilohertz (kHz)
A kilohertz (kHz) equals 1,000 hertz and spans the upper range of human hearing and the AM radio broadcast band. Audio frequencies between 1 and 20 kHz correspond to treble tones and the harmonics that give instruments their timbre. AM radio is allocated the 535–1,705 kHz band. Sonar systems, ultrasonic cleaners, and early telephone-grade audio all operate in the kilohertz range. Digital audio sample rates are specified in kilohertz: CD audio uses 44.1 kHz, meaning the signal is sampled 44,100 times per second.
AM radio stations broadcast between 535 and 1,705 kHz. CD audio is sampled at 44.1 kHz. A dog whistle produces ultrasound at roughly 23–54 kHz.
About Degrees per second (°/s)
Degrees per second (°/s) is an angular velocity unit that replaces radians with the more intuitive degree measure. One full rotation equals 360°/s. It is widely used in navigation, robotics, gaming peripherals, and inertial measurement units (IMUs). Gyroscope sensitivity in phone and game-controller IMUs is rated in °/s. Camera pan/tilt rates in broadcast and security equipment are specified in °/s. Drone flight controllers and satellite attitude control systems also use °/s for their angular rate sensors.
A fighter jet in a tight turn can sustain 30–60°/s of heading change. Gaming mice optical sensors track rotation up to ~500°/s. A spin-stabilised satellite may rotate at a few degrees per second.
Kilohertz – Frequently Asked Questions
Why is CD audio sampled at exactly 44.1 kHz and not a rounder number?
The Nyquist theorem requires a sample rate at least twice the highest frequency you want to capture. Human hearing tops out near 20 kHz, so you need at least 40 kHz. The extra 4.1 kHz provides headroom for the anti-aliasing filter to roll off. The specific number 44,100 was chosen because it factored neatly into the video frame rates of the PAL and NTSC systems used to store digital audio on videotape during early CD mastering.
What is the difference between kilohertz and kilobits per second?
Kilohertz (kHz) measures oscillation frequency — cycles per second. Kilobits per second (kbps) measures data throughput — bits transferred per second. A 44.1 kHz audio sample rate means 44,100 snapshots per second, but each snapshot may be 16 bits, yielding 705.6 kbps for one channel. The two units describe fundamentally different things: how fast something vibrates vs. how fast data flows.
Why does AM radio use kilohertz while FM radio uses megahertz?
AM radio was developed first and was allocated the medium-frequency band (535–1,705 kHz) because those wavelengths travel long distances by bouncing off the ionosphere at night. FM came later and was assigned the VHF band (87.5–108 MHz) — higher frequency means shorter range but much better audio fidelity and resistance to static. The allocation reflects both physics and regulatory history.
Can dog whistles really produce sounds humans cannot hear?
Yes. A typical dog whistle emits ultrasound between about 23 and 54 kHz — well above the human ceiling of ~20 kHz but within a dog's hearing range, which extends to roughly 65 kHz. Some "silent" whistles do leak a faint hiss that keen human ears pick up, but the dominant output is ultrasonic. Cats hear even higher, up to about 85 kHz.
What does a telephone's 8 kHz sample rate mean for call quality?
Traditional landline phone calls sample voice at 8 kHz, which by Nyquist captures frequencies up to 4 kHz. Human speech intelligibility lives mostly between 300 Hz and 3,400 Hz, so 8 kHz is just enough. It is why phone calls sound muffled compared to in-person conversation — you lose all the higher harmonics that make a voice sound natural. HD Voice (VoLTE) bumps the rate to 16 kHz, doubling the bandwidth and noticeably improving clarity.
Degrees per second – Frequently Asked Questions
Why do phone and game controller gyroscopes measure in degrees per second?
Because °/s maps intuitively to human motion. Tilting your phone 90° in half a second means 180°/s — you can visualise that immediately. The same rate in rad/s (π ≈ 3.14) requires mental conversion. Consumer IMU datasheets list full-scale range in °/s (±250, ±500, ±2000°/s) because the target audience — app developers and game designers — thinks in degrees, not radians.
How fast does a fighter jet turn in degrees per second?
A standard-rate turn in aviation is 3°/s (completing 360° in two minutes), used for instrument approaches. A fighter jet in a hard combat turn can sustain 15–25°/s, and instantaneous snap rates during aggressive maneuvers can exceed 60°/s. At 20°/s in a tight bank, the pilot experiences 4–6 g of centripetal acceleration, which is near the limit of what a g-suit can compensate for.
What degrees-per-second rate does a spinning basketball have?
A basketball spinning on a fingertip typically rotates at about 3–5 revolutions per second, which is 1,080–1,800°/s. The Harlem Globetrotters can push past 2,000°/s for brief showpiece spins. A professional bowler's ball rotates at roughly 300–500 RPM off the hand, which translates to about 1,800–3,000°/s. Spin rate matters for curve, grip, and the physics of the bounce.
How do security cameras specify pan and tilt speed?
PTZ (pan-tilt-zoom) camera specs list maximum pan speed in °/s — typically 80–400°/s for preset movement and 0.1–5°/s for manual tracking. A camera that pans at 400°/s can whip from one side to the other in under a second, useful for switching between preset positions. The slower manual range lets an operator smoothly follow a walking person without jerky motion.
What is the standard-rate turn in aviation and why is it exactly 3°/s?
A standard-rate turn (Rate One) is defined as 3°/s, completing a full 360° circle in exactly two minutes. Air traffic controllers rely on this predictable rate to space aircraft in holding patterns and instrument approaches. The turn coordinator instrument in the cockpit marks the standard rate with reference lines. Faster rates exist (Rate Two is 6°/s), but standard rate keeps the bank angle comfortable at typical airspeeds.