The result of converting 32 rpm to radians per second is approximately 3.351 rad/sec.
To convert revolutions per minute (rpm) to radians, we multiply the rpm value by 2π (because one revolution equals 2π radians) and divide by 60 (seconds in a minute). This gives us the rad/sec equivalent, which measures how many radians are covered each second.
Conversion Result
32 rpm equals approximately 3.351 rad/sec.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert rpm to rad/sec is: radians per second = (rpm * 2π) / 60. It works because a revolution equals 2π radians, and there are 60 seconds in a minute. By multiplying rpm by 2π, we get radians per minute, then dividing by 60 converts it to radians per second. For example, 32 rpm times 2π gives 32 * 6.2832 = 201.0619 radians per minute. Dividing that by 60 results in approximately 3.351 radians per second.
Conversion Example
- Convert 50 rpm to rad/sec:
- 50 * 2π = 50 * 6.2832 = 314.16 radians per minute
- 314.16 / 60 = 5.236 rad/sec
- Convert 10 rpm to rad/sec:
- 10 * 2π = 62.832 radians per minute
- 62.832 / 60 ≈ 1.047 rad/sec
- Convert 75 rpm to rad/sec:
- 75 * 2π = 471.238 radians per minute
- 471.238 / 60 ≈ 7.854 rad/sec
- Convert 15 rpm to rad/sec:
- 15 * 2π = 94.248 radians per minute
- 94.248 / 60 ≈ 1.570 rad/sec
Conversion Chart
| rpm | rad/sec |
|---|---|
| 7.0 | 0.7330 |
| 12.0 | 1.257 |
| 17.0 | 1.779 |
| 22.0 | 2.301 |
| 27.0 | 2.823 |
| 32.0 | 3.351 |
| 37.0 | 3.873 |
| 42.0 | 4.395 |
| 47.0 | 4.917 |
| 52.0 | 5.439 |
| 57.0 | 5.961 |
Use this chart to quickly see how different rpm values convert into radians per second. Just find the rpm value in the first column, then look across to find its rad/sec equivalent.
Related Conversion Questions
- How many radians per second are in 32 rpm?
- What is the rad/sec value for 32 rpm?
- Convert 32 rpm to radians per second, what is the answer?
- How do I change 32 rpm into rad/sec?
- What is the radian measure for 32 revolutions per minute?
- How many rad/sec does 32 rpm equal to?
- Can you tell me the rad/sec equivalent of 32 rpm?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns or revolutions an object makes in one minute. It is commonly used to describe rotational speeds in machinery, engines, and rotating devices, reflecting how fast something spins.
rad
Radian is a unit of angular measure, representing the angle where the arc length equals the radius. One full circle equals 2π radians, making it a natural way to express angles in mathematics and physics, especially in rotational calculations.
Conversion FAQs
Why do I need to convert rpm to rad/sec?
Converting rpm to rad/sec allows precise calculation in physics and engineering, especially when dealing with rotational dynamics, angular velocity, and torque. It helps standardize measurements across different systems and formulas requiring rad/sec.
Can I convert rpm to other units of angular velocity?
Yes, rpm can be converted into degrees per second by multiplying rpm by 6, or into revolutions per second by dividing rpm by 60. Rad/sec is often used for its natural fit in mathematical equations involving angular measurements.
What happens if I input a negative rpm value?
A negative rpm indicates rotation in the opposite direction, but the magnitude converted to rad/sec will still be positive, representing the speed, not the direction. To express direction, additional signs or vectors are used.
Is the conversion affected by rotational direction?
No, the conversion formula only calculates the magnitude of angular velocity. Direction is indicated separately, often by the sign of the rpm value, but the rad/sec value reflects speed regardless of rotational direction.
