The conversion of 50 rpm to radians per second equals approximately 5.2360 rad/sec.
Since 1 revolution per minute (rpm) equals 2π radians divided by 60 seconds, multiplying 50 rpm by (2π / 60) gives the radians per second. This calculation converts the rotational speed from revolutions per minute to radians per second, considering the full circle of 2π radians.
Conversion Result
50 rpm is approximately 5.2360 radians per second.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert rpm to rad/sec is: radians per second = rpm * (2π / 60). This works because one revolution equals 2π radians, and there are 60 seconds in a minute, so dividing by 60 converts minutes to seconds. Multiplying rpm by this factor yields radians per second.
For example, for 50 rpm: 50 * (2π / 60) = 50 * (6.2832 / 60) ≈ 5.2360 rad/sec. The process involves multiplying the revolutions per minute by the radians in a revolution, then dividing by seconds per minute, giving the angular speed in radians per second.
Conversion Example
- Example 1: Convert 25 rpm:
- Calculate: 25 * (2π / 60)
- Result: 25 * 0.10472 ≈ 2.618 rad/sec
- Example 2: Convert 100 rpm:
- Calculate: 100 * (2π / 60)
- Result: 100 * 0.10472 ≈ 10.472 rad/sec
- Example 3: Convert 10 rpm:
- Calculate: 10 * (2π / 60)
- Result: 10 * 0.10472 ≈ 1.047 rad/sec
- Example 4: Convert 75 rpm:
- Calculate: 75 * (2π / 60)
- Result: 75 * 0.10472 ≈ 7.854 rad/sec
Conversion Chart
| rpm | rad/sec |
|---|---|
| 25.0 | 2.6180 |
| 30.0 | 3.1416 |
| 35.0 | 3.6652 |
| 40.0 | 4.1888 |
| 45.0 | 4.7124 |
| 50.0 | 5.2360 |
| 55.0 | 5.7596 |
| 60.0 | 6.2832 |
| 65.0 | 6.8068 |
| 70.0 | 7.3304 |
| 75.0 | 7.8540 |
Use this chart to quickly find the rad/sec value for any rpm between 25 and 75. Read the rpm value in the first column, then look at the corresponding rad/sec in the second column.
Related Conversion Questions
- How many radians per second is 50 rpm?
- What is the rad/sec equivalent of 50 rpm?
- Convert 50 rpm to radians per second for a motor speed?
- How do I change 50 rpm to radians per second in calculations?
- What is the angular velocity in radians/sec for 50 revolutions per minute?
- Is 50 rpm equal to about 5.236 radians per second?
- How do I convert rpm to radians per second manually for 50 rpm?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many times an object completes a full turn around its axis each minute, providing a rotational speed indicator useful in engines, motors, and machinery for understanding their spinning rate.
rad
Radians (rad) are angular measurement units representing the ratio of an arc length to the radius of a circle, with 2π radians equivalent to a full rotation, used in mathematics and physics to describe rotational quantities precisely.
Conversion FAQs
How can I convert 50 rpm into radians per second quickly?
You multiply 50 by 2π and then divide by 60, which gives approximately 5.236 radians per second, because each revolution is 2π radians and there are 60 seconds in a minute.
Why does the conversion from rpm to rad/sec involve 2π / 60?
This factor accounts for the full circle of 2π radians in a revolution and the 60 seconds in a minute, converting the rotational speed from revolutions per minute to radians per second directly.
Can I use the conversion formula for any rpm value?
Yes, the same formula applies for any rpm, simply replace 50 with your specific number and perform the calculation to find the equivalent in rad/sec.
What is the significance of radians in rotational measurements?
Radians provide a natural way to measure angles based on the properties of circles, simplifying calculations involving rotations, angular velocities, and angular displacements in physics and engineering.
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.