Convert Centesimal Minutes to Turns
Convert Centesimal Minutes (c′) to Turns (rev) instantly and accurately.
Conversion Formula
rev = c′ × 2.500000000e-5
About Centesimal Minutes
A centesimal minute (c′) is 1/100 of a gradian - exactly π/20,000 rad ≈ 1.5708 × 10⁻⁴ rad (= 0.9 sexagesimal arcminutes). Also designated cgon (centigon) in ISO/DIN standards. Total stations in the grad system display readings to 1 c′ or 0.1 c′; a right angle = 100 grad = 10,000 c′. A 1% slope ≈ 0.6366 grad ≈ 63.66 c′ - a simple calculation that makes the centesimal minute popular in road and railway alignment. 1 c′ = 0.9′ = 54″ = π/20,000 rad.
About Turns
A turn (revolution, cycle) equals one complete rotation - 2π rad = 360° = 400 grad. Rotational speed is naturally measured in turns per minute (rpm): a car engine idles at ~750 rpm; a hard disk spins at 7,200 rpm. The factor 2π in physics formulas (ω = 2πf, E = hf = ħω) arises from converting turns to radians. The turn is the natural unit for gear ratios, transformer winding counts, and thread pitch (turns per inch). The tau convention (τ = 2π ≈ 6.2832) proposes 1τ = 1 full turn. 1 rpm = 1/60 Hz = 2π/60 rad/s ≈ 0.10472 rad/s.
Quick Reference Table
| Centesimal Minutes (c′) | Turns (rev) |
|---|---|
| 1 c′ | 2.5 × 10-5 rev |
| 2 c′ | 5 × 10-5 rev |
| 5 c′ | 0.000125 rev |
| 10 c′ | 0.00025 rev |
| 25 c′ | 0.000625 rev |
| 50 c′ | 0.00125 rev |
| 100 c′ | 0.0025 rev |