Elara Bennett100 rpm equals approximately 10.472 rad
Converting 100 rpm to rad/sec gives about 10.472 radians per second. This means that an object spinning at 100 revolutions each minute covers roughly 10.472 radians every second, showing how fast the rotation is in angular terms.
To convert rpm to radians per second, you multiply the revolutions per minute by 2π (since one revolution is 2π radians), then divide by 60 (seconds in a minute). This converts the rotational speed from revolutions per minute (rpm) to radians per second (rad/sec).
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 each revolution is 2π radians, and there are 60 seconds in a minute. So, multiplying rpm by 2π gives radians per minute, then dividing by 60 gives radians per second. For example, 100 rpm: 100 * 2π / 60 = approximately 10.472 rad/sec.
Conversion Example
- Convert 50 rpm to rad/sec:
- Multiply 50 by 2π: 50 * 6.2832 = 314.16 radians per minute
- Divide 314.16 by 60: 314.16 / 60 = 5.236 rad/sec
- Convert 200 rpm to rad/sec:
- Multiply 200 by 2π: 200 * 6.2832 = 1256.64 radians per minute
- Divide 1256.64 by 60: 1256.64 / 60 = 20.944 rad/sec
- Convert 75 rpm to rad/sec:
- 75 * 2π = 471.24 radians per minute
- Divide by 60: 471.24 / 60 = 7.854 rad/sec
- Convert 125 rpm to rad/sec:
- 125 * 2π = 785.40 radians per minute
- Divide by 60: 785.40 / 60 = 13.090 rad/sec
Conversion Chart
| rpm | rad/sec |
|---|---|
| 75.0 | 7.8540 |
| 80.0 | 8.3776 |
| 85.0 | 8.9012 |
| 90.0 | 9.4248 |
| 95.0 | 9.9484 |
| 100.0 | 10.4720 |
| 105.0 | 10.9956 |
| 110.0 | 11.5192 |
| 115.0 | 12.0428 |
| 120.0 | 12.5664 |
| 125.0 | 13.0900 |
This chart displays rpm values from 75 to 125 and their corresponding rad/sec conversions. Use it to quickly find the angular velocity in radians per second for specific rpm values.
Related Conversion Questions
- How many radians per second are in 100 rpm?
- What is the rad/sec equivalent of 150 rpm?
- Convert 200 rpm to radians, what is the value?
- How do I change 75 rpm into radians per second?
- What is the rad/sec value for a rotation speed of 125 rpm?
- If a motor spins at 100 rpm, what is its speed in radians?
- Can you tell me how to convert rpm to radians per second for 50 rpm?
Conversion Definitions
rpm (revolutions per minute) measures how many complete turns an object makes each minute, indicating rotational speed. It is used in engines, motors, and rotating equipment to quantify how fast they spin.
Rad (radian) is a measure of angular distance, where one radian equals the angle created when the arc length equals the radius. Radians are used in math and physics to describe rotational positions and velocities.
Conversion FAQs
How is rpm related to radians per second?
Rpm indicates revolutions per minute, while radians per second measure angular velocity in radians per second. Converting involves multiplying rpm by 2π and dividing by 60, translating revolutions into radians and minutes into seconds.
Why do we convert rpm to rad/sec?
This conversion allows for precise calculations in physics and engineering, especially when analyzing rotational motion, angular acceleration, or torque in systems where angular velocity needs to be expressed in standard SI units.
What does it mean if a motor spins at 100 rpm in terms of radians?
At 100 rpm, the motor completes about 10.472 radians every second, indicating the speed of rotation in a more universal angular measurement. It helps in understanding how fast the shaft is turning in angular terms.
Is the conversion from rpm to rad/sec linear?
Yes, the conversion is linear because each additional rpm corresponds to a proportional increase in radians per second based on the formula rpm * 2π / 60. This makes calculations straightforward and predictable.
