Calculator Form
Use one of the supported physics input modes. The layout stays single-column overall, while the fields use responsive columns inside the calculator.
Plotly Graph
The graph shows cumulative turns across time or distance, depending on the calculation mode you used.
Example Data Table
These sample cases show how the turnover number changes with different physics input methods.
| Mode | Inputs | Formula | Turnover Number |
|---|---|---|---|
| Angular velocity + time | ω = 18.85 rad/s, t = 12 s | N = (ω × t) / (2π) | 36.0008 |
| Frequency + time | f = 2.5 Hz, t = 20 s | N = f × t | 50 |
| RPM + time | rpm = 180, t = 1.5 min | N = rpm × time(min) | 270 |
| Linear speed + radius + time | v = 4 m/s, r = 0.25 m, t = 15 s | N = (v × t) / (2πr) | 38.1972 |
| Distance + radius | s = 120 m, r = 0.35 m | N = s / (2πr) | 54.5674 |
Formula Used
1) From angular velocity and time
N = (ω × t) / (2π)
Use this when angular velocity is in radians per second and time is in seconds.
2) From frequency and time
N = f × t
Use this when frequency is in hertz and time is in seconds.
3) From RPM and time
N = rpm × time(minutes)
Use this when rotational speed is in revolutions per minute and time is in minutes.
4) From linear speed, radius, and time
N = (v × t) / (2πr)
This converts traveled arc length into total turns by dividing by the circumference.
5) From distance and radius
N = s / (2πr)
Use this when you know the total path distance along the circular motion.
How to Use This Calculator
- Select the calculation mode that matches your known values.
- Choose rotation direction if you want a signed result.
- Enter any initial turns offset when needed.
- Fill the visible fields with positive values and correct units.
- Press the calculate button to show the result above the form.
- Review total turns, full turns, partial turns, and angle output.
- Use the Plotly graph to inspect progress over time or distance.
- Download the result as CSV or PDF for reporting.
Frequently Asked Questions
1) What is turnover number in this calculator?
Here, turnover number means the total number of complete and partial turns made during circular motion. The calculator also shows absolute turns, completed full turns, and the remaining fractional turn.
2) What is the difference between turnover number and RPM?
RPM measures rotational speed per minute. Turnover number measures how many turns actually happen over a chosen time or distance. One is a rate, while the other is the accumulated total.
3) Why does radius matter in some modes?
Radius sets the circumference of the circular path. A larger radius means one full turn covers more distance, so the same speed or travel distance produces fewer total turns.
4) Can I use clockwise and counterclockwise motion?
Yes. The direction selector lets you assign a positive or negative sign to the added turns. This is useful when you want net angular change rather than only the magnitude.
5) Which units should I use?
Use radians per second for angular velocity, hertz for frequency, revolutions per minute for RPM, meters for distance and radius, meters per second for linear speed, and seconds or minutes exactly as labeled.
6) Can the calculator handle partial turns?
Yes. The total turnover result includes decimals. The calculator also separates the integer count of full turns from the remaining fractional part for easier interpretation.
7) What do the export buttons save?
The CSV file stores the key result values and example rows. The PDF export creates a compact report that includes the main result summary and the example data table.
8) What does the graph represent?
The graph plots cumulative turns against time or distance. It helps you visualize how turnover builds during motion and makes it easy to compare steady and larger-duration cases.