Samantha NicoleThe conversion of 1700 rpm to radians per second results in approximately 177.68 rad/sec.
To convert revolutions per minute (rpm) to radians per second (rad/sec), we use the formula: radians/sec = rpm × (2π / 60). Since one revolution equals 2π radians, multiplying rpm by 2π converts revolutions to radians, then dividing by 60 converts minutes to seconds. For 1700 rpm: 1700 × 2π / 60 ≈ 177.68 rad/sec.
Conversion Tool
Result in rad:
Conversion Formula
The formula to convert rpm to rad/sec is radians/sec = rpm × (2π / 60). This works because one revolution equals 2π radians, and there are 60 seconds in a minute. Multiplying rpm by 2π converts revolutions to radians, then dividing by 60 adjusts for seconds. For example, at 1700 rpm: 1700 × 2π / 60 ≈ 177.68 rad/sec.
Conversion Example
- Convert 1500 rpm:
- Use formula: 1500 × 2π / 60
- Calculate: 1500 × 6.2832 / 60
- Result: 1500 × 0.10472 = 157.08 rad/sec
- Convert 1000 rpm:
- Use formula: 1000 × 2π / 60
- Calculate: 1000 × 6.2832 / 60
- Result: 1000 × 0.10472 = 104.72 rad/sec
- Convert 2000 rpm:
- Use formula: 2000 × 2π / 60
- Calculate: 2000 × 6.2832 / 60
- Result: 2000 × 0.10472 = 209.44 rad/sec
- Convert 1800 rpm:
- Use formula: 1800 × 2π / 60
- Calculate: 1800 × 6.2832 / 60
- Result: 1800 × 0.10472 = 188.50 rad/sec
Conversion Chart
| rpm | rad/sec |
|---|---|
| 1675.0 | 175.21 |
| 1680.0 | 175.85 |
| 1685.0 | 176.49 |
| 1690.0 | 177.12 |
| 1695.0 | 177.76 |
| 1700.0 | 178.40 |
| 1705.0 | 179.04 |
| 1710.0 | 179.67 |
| 1715.0 | 180.31 |
| 1720.0 | 180.95 |
| 1725.0 | 181.59 |
Use this chart to quickly find rad/sec equivalents for rpm values in the range of 1675.0 to 1725.0. Read the rpm value in the first column and find its corresponding rad/sec in the second column for quick reference.
Related Conversion Questions
- What is the rad/sec equivalent of 1700 rpm in a motor’s speed?
- How many radians per second is 1700 rpm in a rotating shaft?
- Can I convert 1700 rpm to rad/sec without a calculator?
- What is the rad/sec value for 1700 rpm in a high-speed turbine?
- How do I convert rpm to radians per second for 1700 rpm in a physics problem?
- What is the angular velocity in rad/sec for 1700 rpm?
Conversion Definitions
rpm
Revolutions per minute (rpm) measures how many complete turns an object makes in one minute. It is used in engines, motors, and machinery to indicate rotational speed, with higher rpm meaning faster rotation.
rad
Radians (rad) are a unit of angle measurement representing the ratio of an arc length to its radius. One full revolution equals 2π radians, used in mathematics and physics to describe rotational motion and angular displacement.
Conversion FAQs
How accurate is the conversion from rpm to rad/sec?
The conversion is precise as it is based on the exact mathematical relationship: radians/sec = rpm × (2π / 60). Minor differences may occur due to rounding in decimal approximations, but overall, the calculation is reliable for engineering and scientific purposes.
Can I use the same conversion for other units of rotational speed?
No, this specific formula converts rpm to rad/sec. For other units like degrees per second, different formulas are necessary, such as multiplying rpm by 6 (since 360 degrees in one revolution). Always use the correct conversion factor for the units involved.
What does it mean if a motor spins at 1700 rpm in terms of angular velocity?
Spinning at 1700 rpm means the motor’s shaft rotates approximately 177.68 radians every second. This angular velocity indicates how quickly the shaft is turning in terms of radians, a standard measure in physics for rotational speed.
