Elara Bennett1500 rpm to rad
The result of converting 1500 rpm to radians per second is approximately 157.08 rad/s.
Since 1 rpm equals 2π divided by 60, multiplying 1500 rpm by this factor gives the radians per second, converting the rotational speed from revolutions per minute to radians per second.
Conversion Result
1500 rpm equals approximately 157.08 radians per second.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert rpm to rad/sec is based on the fact that one revolution equals 2π radians. To get radians per second from rpm, multiply the rpm value by (2π / 60). This conversion works because it accounts for the total radians in a revolution and seconds in a minute.
For example, if you have 1500 rpm, then: 1500 × (2π / 60) = 1500 × 0.10472 ≈ 157.08 rad/sec. The calculation involves multiplying the revolutions per minute by the radians per revolution and then dividing by the seconds per minute to get the radians per second.
Conversion Example
- Convert 1000 rpm:
- Multiply 1000 by (2π / 60): 1000 × 0.10472 = 104.72 rad/sec.
- Convert 2000 rpm:
- Multiply 2000 by (2π / 60): 2000 × 0.10472 = 209.44 rad/sec.
- Convert 2500 rpm:
- Multiply 2500 by (2π / 60): 2500 × 0.10472 = 261.80 rad/sec.
- Convert 1800 rpm:
- Multiply 1800 by (2π / 60): 1800 × 0.10472 = 188.50 rad/sec.
- Convert 150 rpm:
- Multiply 150 by (2π / 60): 150 × 0.10472 = 15.71 rad/sec.
Conversion Chart
| rpm | rad/sec |
|---|---|
| 1475.0 | 154.21 |
| 1476.0 | 154.44 |
| 1477.0 | 154.66 |
| 1478.0 | 154.89 |
| 1479.0 | 155.11 |
| 1480.0 | 155.34 |
| 1481.0 | 155.56 |
| 1482.0 | 155.79 |
| 1483.0 | 156.01 |
| 1484.0 | 156.24 |
| 1485.0 | 156.46 |
| 1486.0 | 156.69 |
| 1487.0 | 156.91 |
| 1488.0 | 157.14 |
| 1489.0 | 157.36 |
| 1490.0 | 157.59 |
| 1491.0 | 157.81 |
| 1492.0 | 158.04 |
| 1493.0 | 158.26 |
| 1494.0 | 158.49 |
| 1495.0 | 158.71 |
| 1496.0 | 158.94 |
| 1497.0 | 159.16 |
| 1498.0 | 159.39 |
| 1499.0 | 159.61 |
| 1500.0 | 159.84 |
| 1501.0 | 160.06 |
| 1502.0 | 160.29 |
| 1503.0 | 160.51 |
| 1504.0 | 160.74 |
| 1505.0 | 160.96 |
| 1506.0 | 161.19 |
| 1507.0 | 161.41 |
| 1508.0 | 161.64 |
| 1509.0 | 161.86 |
| 1510.0 | 162.09 |
| 1511.0 | 162.31 |
| 1512.0 | 162.54 |
| 1513.0 | 162.76 |
| 1514.0 | 162.99 |
| 1515.0 | 163.21 |
| 1516.0 | 163.44 |
| 1517.0 | 163.66 |
| 1518.0 | 163.89 |
| 1519.0 | 164.11 |
| 1520.0 | 164.34 |
| 1521.0 | 164.56 |
| 1522.0 | 164.79 |
| 1523.0 | 165.01 |
| 1524.0 | 165.24 |
| 1525.0 | 165.46 |
Use this chart to quickly find the rad/sec value for given rpm values within the range. Just find the rpm in the left column and see its rad/sec equivalent on the right.
Related Conversion Questions
- What is 1500 rpm in radians per second for a motor shaft?
- How many radians per second is 1500 rpm equivalent to in rotational speed?
- Convert 1500 rpm to radians in a physics problem?
- What is the rad/sec value when rpm is 1500?
- How do I convert 1500 rpm to rotational radians per second?
- Is 1500 rpm equal to how many radians per second?
- What is the rad/sec for 1500 revolutions per minute?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns an object makes in a minute, indicating rotational speed. It is used to describe the speed of engines, motors, and circular motion, with higher rpm values corresponding to faster rotations.
rad
Rad, short for radians, is a unit of angular measurement representing the angle at the center of a circle subtended by an arc equal in length to the radius. It quantifies angles in a way that directly relates to the circle’s geometry, with 2π radians equal to one full revolution.
Conversion FAQs
Why do I multiply rpm by (2π / 60) to get rad/sec?
This multiplication converts revolutions per minute into radians per second because each revolution equals 2π radians, and there are 60 seconds in a minute. The factor (2π / 60) accounts for both conversions, giving a direct rad/sec measurement.
Can I convert rad/sec back to rpm using the same formula?
Yes, you can reverse the process by multiplying rad/sec by 60 and dividing by 2π. The reverse formula helps switch from radians per second to revolutions per minute, useful for understanding rotational speeds in different units.
What if I input a negative rpm value in the tool?
A negative rpm indicates rotation in the opposite direction. The conversion formula remains the same, but the resulting rad/sec will also be negative, reflecting the reverse rotational movement.
Does the conversion change if I use a different unit for time?
Yes, if you measure in hours or seconds instead of minutes, the conversion factor changes accordingly. The current formula is specific for seconds, so adjusting for other time units requires modifying the divisor in the formula.
