Samantha Nicole120 rpm is approximately 12.57 radians per second.
This conversion takes revolutions per minute and expresses it in radians per second, by multiplying rpm by 2π and dividing by 60. So, 120 rpm converts as (120 × 2π) / 60, which simplifies to 4π, giving us 12.57 rad/sec.
Conversion Result
The value of 120 rpm equals about 12.57 radians per second when converted.
Conversion Tool
Result in rad:
Conversion Formula
The formula for converting rpm to rad/sec is: rpm × 2π / 60. This works because one 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 adjusts to seconds.
For example, converting 60 rpm: 60 × 2π / 60 = 2π radians/sec, which equals approximately 6.2832 rad/sec. This step-by-step shows how revolutions translate into radians per second.
Conversion Example
- Convert 150 rpm:
- Multiply 150 by 2π: 150 × 6.2832 = 942.48 radians per minute
- Divide 942.48 by 60: 942.48 / 60 = 15.71 rad/sec
- Convert 200 rpm:
- 200 × 2π = 1256.64 radians per minute
- 1256.64 / 60 = 20.94 rad/sec
- Convert 90 rpm:
- 90 × 2π = 565.49 radians per minute
- 565.49 / 60 = 9.42 rad/sec
Conversion Chart
This chart shows rpm values from 95.0 to 145.0 and their radian equivalents, helping quickly find conversions for common values.
| rpm | radians/sec |
|---|---|
| 95.0 | 9.95 |
| 100.0 | 10.47 |
| 105.0 | 10.99 |
| 110.0 | 11.50 |
| 115.0 | 12.02 |
| 120.0 | 12.57 |
| 125.0 | 13.08 |
| 130.0 | 13.60 |
| 135.0 | 14.11 |
| 140.0 | 14.64 |
| 145.0 | 15.16 |
Read the table by locating the rpm value and then checking its equivalent in radians per second. Use this chart for quick reference during conversions.
Related Conversion Questions
- How many radians per second is 120 rpm?
- What is the rad/sec equivalent of 120 rpm?
- How do I convert 120 rpm to radians per second manually?
- What is the formula to change rpm to radians?
- Is 120 rpm equal to approximately 12.57 radians/sec?
- How many radians are in 120 rpm?
- Can I convert 120 rpm directly to radians per second without a calculator?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns or rotations an object makes in one minute, used in machinery and engines to indicate rotational speed.
rad
Radians (rad) are a unit of angular measurement representing the angle corresponding to an arc length equal to the radius, used in mathematics and physics to quantify rotational quantities.
Conversion FAQs
What does 120 rpm mean in terms of angular velocity?
It indicates that an object completes 120 full rotations each minute, which translates to about 12.57 radians per second when converted, showing how fast it spins in angular terms.
How accurate is the conversion from rpm to radians?
The calculation uses a precise mathematical formula involving 2π, providing an accurate conversion assuming standard units and no measurement errors.
Can I convert rpm to radians per second with a calculator?
Yes, by applying the formula (rpm × 2π) / 60 directly into a calculator, you get precise rad/sec values for any rpm input.
Why is 2π used in the conversion?
Because one full revolution equals 2π radians, so multiplying rpm by 2π converts revolutions into radians, the standard angular measure.
What is the significance of dividing by 60?
Dividing by 60 converts minutes into seconds, aligning the angular velocity measurement with the second-based unit rad/sec.
