Result: 1800 rpm equals approximately 188.50 radians per second
Converting 1800 revolutions per minute (rpm) to radians involves understanding that one revolution equals 2π radians, and minutes must be converted to seconds. This means multiplying rpm by 2π and dividing by 60 to get radians per second.
Conversion Tool
Result in rad:
Conversion Formula
To convert rpm to radians, multiply the rpm value by 2π (because there are 2π radians in one revolution). Then, divide by 60 to convert minutes into seconds, resulting in radians per second. The formula: rad/sec = rpm * 2π / 60. For example, 1800 rpm:
- 1800 * 2π / 60
- 1800 * 6.2832 / 60
- 11309.76 / 60
- 188.50 rad/sec
Conversion Example
Suppose you want to convert 1500 rpm to rad/sec.
- Step 1: Write down the rpm value: 1500 rpm.
- Step 2: Multiply 1500 by 2π (about 6.2832): 1500 * 6.2832 = 9424.8.
- Step 3: Divide by 60 seconds: 9424.8 / 60 = 157.08 rad/sec.
- Result: 1500 rpm equals approximately 157.08 rad/sec.
Conversion Chart
| rpm | radians/sec |
|---|---|
| 1775.0 | 185.84 |
| 1780.0 | 186.20 |
| 1785.0 | 186.56 |
| 1790.0 | 186.92 |
| 1795.0 | 187.28 |
| 1800.0 | 188.50 |
| 1805.0 | 188.86 |
| 1810.0 | 189.22 |
| 1815.0 | 189.58 |
| 1820.0 | 189.94 |
| 1825.0 | 190.30 |
This table helps you see how different rpm values convert to radians per second, making quick comparisons easier.
Related Conversion Questions
- How many radians per second is 1800 rpm?
- What is the radian equivalent of 1800 rpm?
- How do I convert 1800 rpm to radians per second manually?
- What is the conversion factor for rpm to radians?
- Can I convert 1800 rpm to radians per second using an online calculator?
- What is the angular velocity in radians/sec for 1800 rpm?
- How many radians does a 1800 rpm motor turn in a second?
Conversion Definitions
rpm: Revolutions per minute (rpm) measures how many complete turns an object makes in one minute, used to express rotational speed in machinery and engines, indicating how fast something rotates around an axis.
rad: Radians (rad) measure angular displacement, where one radian equals the angle created when arc length equals radius length, serving as a fundamental unit for angular measurements in mathematics and physics.
Conversion FAQs
Why is 1800 rpm equal to about 188.50 radians per second?
This is because converting rpm to radians per second involves multiplying by 2π (to get radians per revolution) and dividing by 60 (seconds in a minute). For 1800 rpm, the calculation yields approximately 188.50 rad/sec.
Can I convert rpm to radians per second without a calculator?
Yes, by using the formula: radians/sec = rpm * 2π / 60. Since 2π is roughly 6.2832, you can estimate the result by multiplying rpm by 6.2832 and then dividing by 60, which can be done with mental math or approximation.
What practical uses are there for converting rpm to radians?
This conversion is vital in physics and engineering where angular velocities are needed in radians/sec for calculations involving rotational dynamics, motor specifications, or designing mechanical systems where angular displacement in radians is relevant.
How does the conversion change if I know the angular velocity in degrees per second?
To convert degrees/sec to radians/sec, multiply by π/180. If you know rpm, first convert to radians/sec then compare or convert to degrees/sec as needed for specific applications.
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