2.5 revolutions equal approximately 157.08 seconds.
One revolution is a full turn around a circle, which equals 2π radians or 360 degrees. To convert revolutions to seconds, you need the angular velocity in revolutions per second. If the angular velocity is known, multiply 2.5 revolutions by the reciprocal of the revolutions per second to get seconds.
Conversion Calculation
Result in seconds:
Conversion Formula
The formula to convert revolutions to seconds depends on the angular velocity (ω), which is how many revolutions happen each second. The general formula is:
Seconds = (Revolutions) × (1 / revolutions per second)
Since 1 revolution equals 2π radians, if you know the angular velocity in revolutions per second, multiply the number of revolutions by the period (which is 1 divided by the revolutions per second) to get seconds. For example, if the rotation speed is 1 revolution/sec:
- Revolutions: 2.5
- Revolutions/sec: 1
- Time in seconds = 2.5 / 1 = 2.5 seconds
In case of different angular speeds, adjust the calculation accordingly by dividing the revolutions by the revolutions per second, then multiplying by 2π if converting to radians.
Conversion Example
- Convert 4 revolutions at 2 revolutions per second:
- Step 1: Find the period of one revolution: 1 / 2 = 0.5 seconds
- Step 2: Multiply revolutions by period: 4 × 0.5 = 2 seconds
- Convert 1.2 revolutions at 0.5 revolutions/sec:
- Step 1: Find period: 1 / 0.5 = 2 seconds
- Step 2: Multiply: 1.2 × 2 = 2.4 seconds
- Convert 3 revolutions at 3 revolutions/sec:
- Step 1: Period: 1 / 3 ≈ 0.3333 seconds
- Step 2: Multiply: 3 × 0.3333 ≈ 1 second
Conversion Chart
Revolutions | Seconds |
---|---|
-22.5 | -141.37 |
-20 | -125.66 |
-17.5 | -109.94 |
-15 | -94.20 |
-12.5 | -78.54 |
-10 | -62.83 |
-7.5 | -47.12 |
-5 | -31.42 |
-2.5 | -15.71 |
0 | 0 |
2.5 | 15.71 |
5 | 31.42 |
7.5 | 47.12 |
10 | 62.83 |
12.5 | 78.54 |
15 | 94.20 |
17.5 | 109.94 |
20 | 125.66 |
22.5 | 141.37 |
25 | 157.08 |
27.5 | 172.78 |
Use this chart to quickly find the seconds corresponding to any number of revolutions in the range, assuming a rotation speed of 1 revolution per second.
Related Conversion Questions
- How long does it take for 2.5 revolutions at 0.5 revolutions per second?
- What is the duration in seconds for 2.5 revolutions if the rotational speed is 2 revolutions per second?
- Convert 2.5 revolutions to seconds at 1.2 revolutions/sec?
- How many seconds are in 2.5 revolutions when the spinning speed is 0.25 revolutions/sec?
- If a wheel completes 2.5 revolutions, how many seconds does it take at 1 revolution per second?
- What is the time in seconds for 2.5 revolutions when the angular velocity is 0.75 revolutions/sec?
- How do you convert 2.5 revolutions to seconds if the object rotates at 3 revolutions/sec?
Conversion Definitions
Revolutions
A revolution is a complete turn around a circle or axis, equal to 360 degrees or 2π radians, used to measure rotational movement, representing one full rotation regardless of the size of the circle.
Seconds
Seconds are a unit of time measurement in the International System, defining the duration of 9,192,631,770 periods of radiation emitted by a cesium-133 atom, used universally for timing and duration calculations in physics and everyday life.
Conversion FAQs
How do I calculate the time for 2.5 revolutions if I know the rotation speed?
To find the time, divide the number of revolutions by the revolutions per second (angular velocity). For example, at 1 revolution/sec, 2.5 revolutions take 2.5 seconds. If speed differs, adjust by dividing accordingly.
Can I convert revolutions directly to seconds without knowing the speed?
No, you need the rotational speed (revolutions per second) to convert revolutions into seconds accurately. Without this, the conversion cannot be performed because the time depends on how fast the rotation occurs.
What if the rotational speed varies during measurement?
If the speed varies, you need to integrate the angular velocity over time or use the average speed to estimate the total duration. For constant speed, the calculation remains straightforward.
Is there a simple formula to convert revolutions to seconds?
Yes, if the angular velocity is known, the simple formula is: seconds = revolutions / revolutions per second. For a fixed rate, multiply revolutions by the period of one revolution, which is the reciprocal of the revolutions per second.