The conversion of 100 rpm to radians results in approximately 10.47 radians.
This conversion is based on the fact that one revolution is equal to 2π radians, and one minute is 1/60th of an hour, so converting revolutions per minute (rpm) involves multiplying by 2π and dividing by 60. Therefore, 100 rpm equals 100 * 2π / 60 radians.
Conversion Result
100 rpm is approximately 10.47 radians.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert rpm to radians involves multiplying the rpm value by 2π to find the radians per revolution, then dividing by 60 because there are 60 seconds in a minute, converting revolutions per minute to radians per second. So, the formula is: rpm * 2π / 60.
This works because each revolution equals 2π radians, and dividing by 60 adjusts for the per-minute rate to radians per second.
Example: for 100 rpm, multiply 100 by 2π (about 6.2832), getting 628.32, then divide by 60, resulting in approximately 10.47 radians.
Conversion Example
- Convert 50 rpm:
- Multiply 50 by 2π (≈6.2832): 50 * 6.2832 = 314.16
- Divide 314.16 by 60: 314.16 / 60 = 5.24 radians
- Convert 200 rpm:
- Multiply 200 by 6.2832: 200 * 6.2832 = 1256.64
- Divide 1256.64 by 60: 1256.64 / 60 = 20.94 radians
- Convert 75 rpm:
- Multiply 75 by 6.2832: 75 * 6.2832 = 471.24
- Divide 471.24 by 60: 471.24 / 60 = 7.85 radians
Conversion Chart
This chart shows how different rpm values translate to radians, from 75.0 to 125.0 in increments of 10.0. Use it to quickly find the radian equivalents of common rpm values.
| rpm | radians |
|---|---|
| 75.0 | 7.85 |
| 85.0 | 8.88 |
| 95.0 | 9.91 |
| 105.0 | 11.00 |
| 115.0 | 12.03 |
| 125.0 | 13.07 |
Related Conversion Questions
- How many radians are in 100 rpm?
- What is the radian equivalent of 150 rpm?
- How do I convert 200 revolutions per minute to radians?
- What is 75 rpm in radians per second?
- Convert 125 rpm to radians: what is the result?
- Is 100 rpm equal to approximately 10.47 radians?
- How would I convert rpm to radians for any given value?
Conversion Definitions
rpm, revolutions per minute, measures how many full turns an object completes each minute. It is used in machinery and rotating devices to indicate speed, with higher rpm meaning faster rotation.
radians are units of angular measure, where one full rotation equals 2π radians, used to quantify angles in mathematics and physics, especially in circular motion calculations.
Conversion FAQs
What is the purpose of dividing by 60 in the rpm to rad conversion?
The division by 60 converts revolutions per minute into revolutions per second, which when multiplied by 2π, gives radians per second, aligning units for consistent angular measurement.
Can the conversion formula be used for other units like revolutions per second?
Yes, but the formula would be adjusted accordingly. For revolutions per second, multiply by 2π directly without dividing by 60, as it’s already in seconds.
Why is 2π used in the conversion?
Because one revolution equals 2π radians, so multiplying revolutions by 2π gives the radians covered per revolution, fundamental for angular calculations.
What are the common applications of converting rpm to radians?
This conversion applies in mechanical engineering, physics, and robotics to analyze rotational speeds, angular velocities, and motion dynamics involving rotating parts.
Last Updated : 30 May, 2025
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Sandeep Bhandari holds a Bachelor of Engineering in Computers from Thapar University (2006). He has 20 years of experience in the technology field. He has a keen interest in various technical fields, including database systems, computer networks, and programming. You can read more about him on his bio page.