# RPM to Radians Per Second > Convert RPM to radians per second — and back — with exact π/30 precision, right in your browser. [Optional Full LLM context](https://rpmtoradianspersecond.com/llms-full.txt) ## About This Tool Convert RPM to radians per second and back with the exact π/30 factor. Get rad/s, deg/s, Hz, period, and real-world machine benchmarks instantly. ## Usage This tool is available at https://rpmtoradianspersecond.com. It provides exact conversions between RPM (revolutions per minute) and Radians per Second, using the precise π/30 conversion factor. ### Key Features - Instant bi-directional conversion. - Additional related units: degrees per second, Hertz (Hz), Period (seconds). - Surface speed calculator (Linear velocity) when radius or diameter is provided. - Real-world machine benchmarks (e.g., hard drives, engines, turbines). ## Technical Details - Precision: Conversions are computed using IEEE 754 floating-point with a high degree of precision, applying the exact mathematical constant `Math.PI`. - Formula: - RPM to Rad/s: `rad/s = RPM × (π / 30)` - Rad/s to RPM: `RPM = rad/s × (30 / π)` ## Content & Articles - [1 RPM to Radians Per Second: The Exact Answer and Base Multiplier](https://rpmtoradianspersecond.com/blog/1-rpm-to-radians-per-second) - [What is Angular Velocity? A Complete Guide](https://rpmtoradianspersecond.com/blog/angular-velocity-guide) - [How to Convert Radians Per Second to RPM: The Reverse Guide](https://rpmtoradianspersecond.com/blog/how-to-convert-radians-per-second-to-rpm) - [How to Convert RPM to Radians Per Second: A Step-by-Step Guide](https://rpmtoradianspersecond.com/blog/how-to-convert-rpm-to-radians-per-second) - [Radians Per Second to RPM: The Ultimate Reverse Guide](https://rpmtoradianspersecond.com/blog/radians-per-second-to-rpm) - [RPM to Angular Velocity Radians Per Second: The Ultimate Translation](https://rpmtoradianspersecond.com/blog/rpm-to-angular-velocity-radians-per-second) - [How to Use the RPM to Radians Per Second Calculator](https://rpmtoradianspersecond.com/blog/rpm-to-radians-per-second-calculator) - [The RPM to Radians Per Second Formula: How to Calculate Angular Velocity Exactly](https://rpmtoradianspersecond.com/blog/rpm-to-radians-per-second-formula) - [RPM to Radians Per Second: The Ultimate Conversion Guide](https://rpmtoradianspersecond.com/blog/rpm-to-radians-per-second) - [Standard Motor RPMs: AC Synchronous Speeds and rad/s Conversions](https://rpmtoradianspersecond.com/blog/standard-motor-rpms) - [120 RPM to Radians Per Second: The Exact Answer and Why It Matters](https://rpmtoradianspersecond.com/blog/120-rpm-to-radians-per-second) ## Common Conversions - [Convert 1 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/1-rpm-to-radians-per-second) - [Convert 2 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/2-rpm-to-radians-per-second) - [Convert 3 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/3-rpm-to-radians-per-second) - [Convert 4 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/4-rpm-to-radians-per-second) - [Convert 5 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/5-rpm-to-radians-per-second) - [Convert 6 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/6-rpm-to-radians-per-second) - [Convert 7 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/7-rpm-to-radians-per-second) - [Convert 8 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/8-rpm-to-radians-per-second) - [Convert 9 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/9-rpm-to-radians-per-second) - [Convert 10 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/10-rpm-to-radians-per-second) - [Convert 15 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/15-rpm-to-radians-per-second) - [Convert 20 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/20-rpm-to-radians-per-second) - [Convert 25 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/25-rpm-to-radians-per-second) - [Convert 30 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/30-rpm-to-radians-per-second) - [Convert 33 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/33-rpm-to-radians-per-second) - [Convert 35 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/35-rpm-to-radians-per-second) - [Convert 40 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/40-rpm-to-radians-per-second) - [Convert 45 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/45-rpm-to-radians-per-second) - [Convert 50 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/50-rpm-to-radians-per-second) - [Convert 60 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/60-rpm-to-radians-per-second) - [Convert 70 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/70-rpm-to-radians-per-second) - [Convert 75 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/75-rpm-to-radians-per-second) - [Convert 78 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/78-rpm-to-radians-per-second) - [Convert 80 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/80-rpm-to-radians-per-second) - [Convert 90 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/90-rpm-to-radians-per-second) - [Convert 100 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/100-rpm-to-radians-per-second) - [Convert 110 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/110-rpm-to-radians-per-second) - [Convert 120 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/120-rpm-to-radians-per-second) - [Convert 130 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/130-rpm-to-radians-per-second) - [Convert 140 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/140-rpm-to-radians-per-second) - [Convert 150 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/150-rpm-to-radians-per-second) - [Convert 160 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/160-rpm-to-radians-per-second) - [Convert 170 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/170-rpm-to-radians-per-second) - [Convert 175 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/175-rpm-to-radians-per-second) - [Convert 180 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/180-rpm-to-radians-per-second) - [Convert 190 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/190-rpm-to-radians-per-second) - [Convert 200 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/200-rpm-to-radians-per-second) - [Convert 250 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/250-rpm-to-radians-per-second) - [Convert 300 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/300-rpm-to-radians-per-second) - [Convert 350 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/350-rpm-to-radians-per-second) - [Convert 400 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/400-rpm-to-radians-per-second) - [Convert 450 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/450-rpm-to-radians-per-second) - [Convert 500 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/500-rpm-to-radians-per-second) - [Convert 600 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/600-rpm-to-radians-per-second) - [Convert 700 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/700-rpm-to-radians-per-second) - [Convert 750 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/750-rpm-to-radians-per-second) - [Convert 800 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/800-rpm-to-radians-per-second) - [Convert 850 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/850-rpm-to-radians-per-second) - [Convert 900 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/900-rpm-to-radians-per-second) - [Convert 1000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/1000-rpm-to-radians-per-second) - [Convert 1200 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/1200-rpm-to-radians-per-second) - [Convert 1400 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/1400-rpm-to-radians-per-second) - [Convert 1450 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/1450-rpm-to-radians-per-second) - [Convert 1500 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/1500-rpm-to-radians-per-second) - [Convert 1750 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/1750-rpm-to-radians-per-second) - [Convert 1800 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/1800-rpm-to-radians-per-second) - [Convert 2000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/2000-rpm-to-radians-per-second) - [Convert 2200 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/2200-rpm-to-radians-per-second) - [Convert 2400 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/2400-rpm-to-radians-per-second) - [Convert 2500 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/2500-rpm-to-radians-per-second) - [Convert 2800 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/2800-rpm-to-radians-per-second) - [Convert 2900 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/2900-rpm-to-radians-per-second) - [Convert 3000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/3000-rpm-to-radians-per-second) - [Convert 3200 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/3200-rpm-to-radians-per-second) - [Convert 3400 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/3400-rpm-to-radians-per-second) - [Convert 3500 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/3500-rpm-to-radians-per-second) - [Convert 3600 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/3600-rpm-to-radians-per-second) - [Convert 4000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/4000-rpm-to-radians-per-second) - [Convert 4500 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/4500-rpm-to-radians-per-second) - [Convert 5000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/5000-rpm-to-radians-per-second) - [Convert 5400 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/5400-rpm-to-radians-per-second) - [Convert 5500 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/5500-rpm-to-radians-per-second) - [Convert 6000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/6000-rpm-to-radians-per-second) - [Convert 6500 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/6500-rpm-to-radians-per-second) - [Convert 7000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/7000-rpm-to-radians-per-second) - [Convert 7200 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/7200-rpm-to-radians-per-second) - [Convert 7500 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/7500-rpm-to-radians-per-second) - [Convert 8000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/8000-rpm-to-radians-per-second) - [Convert 8500 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/8500-rpm-to-radians-per-second) - [Convert 9000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/9000-rpm-to-radians-per-second) - [Convert 10000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/10000-rpm-to-radians-per-second) - [Convert 11000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/11000-rpm-to-radians-per-second) - [Convert 12000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/12000-rpm-to-radians-per-second) - [Convert 14000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/14000-rpm-to-radians-per-second) - [Convert 15000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/15000-rpm-to-radians-per-second) - [Convert 16000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/16000-rpm-to-radians-per-second) - [Convert 18000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/18000-rpm-to-radians-per-second) - [Convert 20000 RPM to Radians Per Second](https://rpmtoradianspersecond.com/convert/20000-rpm-to-radians-per-second)