Radiation Converter
Instantly convert radiation with our free converter. See conversion tables, formulas, and step-by-step explanations. Enter your values for instant results.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Radiation Converter
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Formula: Converted = Input x (From Unit Base Factor) / (To Unit Base Factor)
Worked example โ 2 Gy = 200 rad = 2,000 mGy = 2,000,000 uGy
Formula
Converted = Input x (From Unit Base Factor) / (To Unit Base Factor)
Radiation units are converted through their SI base unit. For absorbed dose: 1 Gy = 100 rad. For equivalent dose: 1 Sv = 100 rem. For exposure: 1 R = 2.58e-4 C/kg. Multiply the input by its conversion factor to the base unit, then divide by the target unit factor.
Worked Examples
Example 1: Converting Gray to Rad
Problem:A radiation therapy session delivers 2 Gray. Convert to rad and milligray.
Solution:Rad = Gray / 0.01 = 2 / 0.01 = 200 rad Milligray = Gray x 1000 = 2 x 1000 = 2,000 mGy Microgray = Gray x 1,000,000 = 2,000,000 uGy
Result:2 Gy = 200 rad = 2,000 mGy = 2,000,000 uGy
Example 2: Millisievert to Millirem
Problem:A worker receives 5 millisieverts of exposure. Convert to millirem and microsieverts.
Solution:Sievert = 5 x 0.001 = 0.005 Sv Rem = 0.005 / 0.01 = 0.5 rem Millirem = 0.5 x 1000 = 500 mrem Microsievert = 5 x 1000 = 5,000 uSv
Result:5 mSv = 500 mrem = 0.5 rem = 5,000 uSv
Frequently Asked Questions
What is the difference between gray and sievert?
Gray (Gy) measures absorbed radiation dose, which is the amount of energy deposited per kilogram of matter regardless of radiation type. Sievert (Sv) measures equivalent dose, which accounts for the biological effectiveness of different types of radiation. For X-rays and gamma rays, 1 Gy equals 1 Sv. However, alpha particles are 20 times more damaging biologically, so 1 Gy of alpha radiation equals 20 Sv. The sievert is used for radiation protection because it reflects actual biological harm.
What is the difference between rad and rem?
Rad (radiation absorbed dose) and rem (roentgen equivalent man) are older CGS units that have been largely replaced by gray and sievert in scientific use. One rad equals 0.01 gray, and one rem equals 0.01 sievert. The relationship between rad and rem parallels that of gray and sievert: rad measures raw absorbed dose while rem accounts for biological effectiveness. Many industries, particularly in the United States, still use rem and millirem for regulatory compliance and everyday radiation monitoring.
What is a roentgen and how does it relate to other units?
The roentgen (R) is a unit of radiation exposure that measures the ionization produced in air by X-rays or gamma rays. One roentgen equals 2.58 x 10^-4 coulombs per kilogram of air. While the roentgen only applies to photon radiation in air, it was historically the most common radiation measurement unit. For soft tissue, one roentgen of exposure produces approximately one rad of absorbed dose. The roentgen is still used in some medical and industrial applications despite being replaced by SI units.
What are safe radiation dose limits?
For the general public, the recommended annual dose limit is 1 millisievert (100 millirem) above natural background radiation, which averages about 2.4 mSv per year globally. Radiation workers are limited to 20 mSv per year averaged over five years, with no single year exceeding 50 mSv. For context, a chest X-ray delivers about 0.02 mSv, a CT scan delivers 2-10 mSv, and a transcontinental flight adds about 0.04 mSv. Acute doses above 1 Sv cause radiation sickness, and doses above 5 Sv are often fatal.
References
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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