{
  "entity_type": "unit_conversion_page",
  "id": "rpm-to-rad-per-second",
  "name": "Revolutions per minute (rpm) to Radians per second",
  "title": "Revolutions per minute (rpm) to Radians per second Converter (rpm to rad/s)",
  "description": "Convert revolutions per minute (rpm) to radians per second: 1 rpm = 0.10472 rad/s. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.",
  "quantity": "frequency",
  "quantity_name": "Frequency",
  "base_unit": "Hz",
  "from_unit": {
    "symbol": "rpm",
    "display": "rpm",
    "name": "revolutions per minute (rpm)",
    "singular": "rpm"
  },
  "to_unit": {
    "symbol": "rad/s",
    "display": "rad/s",
    "name": "radians per second",
    "singular": "radian per second"
  },
  "linear": true,
  "factor": 0.1047197551,
  "inverse_factor": 9.549296586,
  "formula": "radians per second = revolutions per minute (rpm) × 0.1047197551",
  "reverse_formula": "revolutions per minute (rpm) = radians per second × 9.549296586",
  "unit_relation": "1 rpm = 0.10472 rad/s",
  "examples": [
    {
      "value": 5,
      "result": 0.523599,
      "text": "5 rpm = 0.523599 rad/s"
    },
    {
      "value": 12.5,
      "result": 1.309,
      "text": "12.5 rpm = 1.309 rad/s"
    },
    {
      "value": 100,
      "result": 10.472,
      "text": "100 rpm = 10.472 rad/s"
    }
  ],
  "table": [
    {
      "rpm": 1,
      "rad/s": 0.10472
    },
    {
      "rpm": 2,
      "rad/s": 0.20944
    },
    {
      "rpm": 3,
      "rad/s": 0.314159
    },
    {
      "rpm": 4,
      "rad/s": 0.418879
    },
    {
      "rpm": 5,
      "rad/s": 0.523599
    },
    {
      "rpm": 6,
      "rad/s": 0.628319
    },
    {
      "rpm": 7,
      "rad/s": 0.733038
    },
    {
      "rpm": 8,
      "rad/s": 0.837758
    },
    {
      "rpm": 9,
      "rad/s": 0.942478
    },
    {
      "rpm": 10,
      "rad/s": 1.0472
    },
    {
      "rpm": 15,
      "rad/s": 1.5708
    },
    {
      "rpm": 20,
      "rad/s": 2.0944
    },
    {
      "rpm": 25,
      "rad/s": 2.61799
    },
    {
      "rpm": 30,
      "rad/s": 3.14159
    },
    {
      "rpm": 40,
      "rad/s": 4.18879
    },
    {
      "rpm": 50,
      "rad/s": 5.23599
    },
    {
      "rpm": 75,
      "rad/s": 7.85398
    },
    {
      "rpm": 100,
      "rad/s": 10.472
    },
    {
      "rpm": 200,
      "rad/s": 20.944
    },
    {
      "rpm": 250,
      "rad/s": 26.1799
    },
    {
      "rpm": 500,
      "rad/s": 52.3599
    },
    {
      "rpm": 1000,
      "rad/s": 104.72
    }
  ],
  "faq": [
    {
      "q": "How many radians per second are in one rpm?",
      "a": "1 rpm = 0.10472 rad/s. The factor comes from the SI definitions of both units (NIST SP 811 / BIPM), so it is exact or correct to at least 10 significant figures."
    },
    {
      "q": "What is the formula to convert revolutions per minute (rpm) to radians per second?",
      "a": "Multiply the value in revolutions per minute (rpm) by 0.1047197551: radians per second = revolutions per minute (rpm) × 0.1047197551. For example, 5 rpm = 0.523599 rad/s."
    },
    {
      "q": "How do I convert radians per second back to revolutions per minute (rpm)?",
      "a": "Multiply by the inverse factor 9.549296586 (revolutions per minute (rpm) = radians per second × 9.549296586), or use the radians per second-to-revolutions per minute (rpm) page."
    }
  ],
  "sources": [
    {
      "name": "NIST Special Publication 811 – Guide for the Use of the International System of Units (SI), Appendix B conversion factors",
      "url": "https://www.nist.gov/pml/special-publication-811",
      "type": "standard",
      "retrieved_at": "2026-09-24"
    },
    {
      "name": "BIPM – The International System of Units (SI Brochure, 9th edition)",
      "url": "https://www.bipm.org/en/publications/si-brochure",
      "type": "standard",
      "retrieved_at": "2026-09-24"
    },
    {
      "name": "Wikipedia – Conversion of units",
      "url": "https://en.wikipedia.org/wiki/Conversion_of_units",
      "type": "reference",
      "retrieved_at": "2026-09-24"
    }
  ],
  "freshness": {
    "type": "static",
    "max_age_seconds": null,
    "note": "Fixed conversion factors (NIST/BIPM definitions); results never go stale."
  },
  "api": {
    "convert": "https://tttkmbb.com/api/v1/convert?value=5&from_unit=rpm&to_unit=rad%2Fs",
    "calculator": "https://tttkmbb.com/api/v1/calculate/frequency?value=5&from_unit=rpm&to_unit=rad%2Fs",
    "mcp_tool": "convert_units",
    "mcp_arguments": {
      "value": 5,
      "from_unit": "rpm",
      "to_unit": "rad/s"
    }
  },
  "links": {
    "html": "https://tttkmbb.com/conversion/rpm-to-rad-per-second",
    "markdown": "https://tttkmbb.com/conversion/rpm-to-rad-per-second.md",
    "json": "https://tttkmbb.com/conversion/rpm-to-rad-per-second.json",
    "reverse": "https://tttkmbb.com/conversion/rad-per-second-to-rpm",
    "quantity_converter": "https://tttkmbb.com/conversion/frequency",
    "units": "https://tttkmbb.com/api/v1/units?quantity=frequency"
  },
  "timestamp": "2026-09-24"
}