Result of 5 rpm to rad: 0.5236 rad
Converting 5 revolutions per minute (rpm) gives approximately 0.5236 radians. This means that in one minute, an object rotates through about half a radian when spinning at 5 rpm.
To convert rpm to radians, you multiply the rpm value by 2π, because each revolution (rpm) corresponds to 2π radians. Since rpm measures how many full turns an object makes in a minute, multiplying by 2π converts that to the total radians traveled in the same time frame.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert rpm to radians per minute is: radians = rpm × 2π. This works because one revolution equals 2π radians, so multiplying the rpm value by 2π gives the total radians traveled in a minute. For example, converting 5 rpm: 5 × 2π = 10π ≈ 31.4159 radians per minute, which can be scaled as needed.
Conversion Example
- Convert 10 rpm to radians:
- Multiply 10 by 2π: 10 × 2π = 20π ≈ 62.8319 radians.
- Convert 2 rpm to radians:
- Multiply 2 by 2π: 2 × 2π = 4π ≈ 12.5664 radians.
- Convert 15 rpm to radians:
- Multiply 15 by 2π: 15 × 2π = 30π ≈ 94.2478 radians.
- Convert 0 rpm to radians:
- 0 multiplied by 2π remains 0 radians.
- Convert 25 rpm to radians:
- Multiply 25 by 2π: 25 × 2π = 50π ≈ 157.0796 radians.
Conversion Chart
| rpm | Radians |
|---|---|
| -20.0 | -125.6637 |
| -15.0 | -94.2478 |
| -10.0 | -62.8319 |
| -5.0 | -31.4159 |
| 0.0 | 0.0 |
| 5.0 | 31.4159 |
| 10.0 | 62.8319 |
| 15.0 | 94.2478 |
| 20.0 | 125.6637 |
| 25.0 | 157.0796 |
| 30.0 | 188.4956 |
This chart helps you quickly find the radian equivalent for any rpm value between -20 and 30. Just look across the rpm row and read the corresponding radians to understand the rotation measure.
Related Conversion Questions
- How many radians does an object rotate in one minute at 5 rpm?
- What is the radian measure equivalent to 5 rpm?
- Can I convert 5 rpm to radians per second directly?
- What is the formula to change rpm to radians for a rotating wheel?
- How do I calculate radians if a motor spins at 5 rpm?
- What is the radian value for a 5 rpm rotation?
- How many radians does a device spin in 10 seconds at 5 rpm?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns an object makes in one minute, reflecting rotational speed. It counts full cycles, with 1 rpm equaling one full revolution every 60 seconds, used in machinery, engines, and rotating equipment.
rad
Radians (rad) are units measuring angles based on the radius of a circle, where one radian equals the angle at the circle’s center that subtends an arc length equal to the radius, with 2π radians representing a full circle or revolution.
Conversion FAQs
How do I convert rpm to radians per second?
To convert rpm to radians per second, first multiply rpm by 2π to get radians per minute, then divide by 60 to get radians per second: radians/sec = rpm × 2π / 60. For example, 5 rpm: 5 × 2π / 60 ≈ 0.5236 radians/sec.
Why is 2π used in rpm to rad conversions?
Because one full revolution equals 2π radians, multiplying rpm by 2π converts revolutions per minute into total radians traveled in that time frame, providing an accurate angular measurement.
Can I use this conversion for angular velocity calculations?
Yes, converting rpm to radians per second or minute helps determine angular velocity, essential in physics and engineering to analyze rotational motion accurately.
What happens if I input a negative rpm value?
Negative rpm indicates rotation in the opposite direction; converting it to radians will give a negative radian measure, reflecting the reverse rotation.
Is this conversion valid for all types of rotational speeds?
Yes, as long as the rotation is uniform, converting rpm to radians applies universally across different rotating objects, from motors to gears, regardless of the speed magnitude.