Solve tangential speed using radius, RPM, or period. See conversions, charts, exports, and worked examples. Built for fast checks across practical physics problems today.
| Timestamp | Mode | Linear Speed | Base Speed (m/s) | Formula |
|---|---|---|---|---|
| No saved calculations yet. | ||||
| Case | Given Values | Formula | Linear Speed |
|---|---|---|---|
| Example 1 | r = 0.5 m, RPM = 60 | v = 2πr × (RPM / 60) | 3.1416 m/s |
| Example 2 | r = 1.2 m, RPM = 45 | v = 2πr × (RPM / 60) | 5.6549 m/s |
| Example 3 | d = 0.8 m, T = 2 s | v = πd / T | 1.2566 m/s |
| Example 4 | C = 6 m, f = 1.5 Hz | v = C × f | 9 m/s |
| Example 5 | r = 0.25 m, ω = 10 rad/s | v = r × ω | 2.5 m/s |
This linear speed of a circle calculator helps you measure tangential speed during circular motion. It supports multiple input paths, so you can work from radius and angular speed, radius and RPM, diameter and period, circumference and frequency, revolutions over time, or direct arc distance over time.
Physics students, teachers, engineers, and lab users often switch between different motion values. This page reduces extra conversions by handling length units, time units, angular speed units, frequency inputs, and output speed conversions in one place. It also gives supporting motion values when enough information exists.
Linear speed describes how fast a point on the edge of a rotating path travels along the circle. Although angular speed tracks turning rate, linear speed tells you actual travel distance per second along the curved path. That makes it useful in wheel motion, turbine analysis, rotating tools, orbital models, and mechanics practice.
The result area appears above the form after submission, making it easy to review the answer first. The page also stores a calculation history, provides CSV and PDF export options, and draws a Plotly graph so you can inspect how speed changes with radius or time. These additions make the calculator practical for homework, reporting, and repeated checks.
The example table shows common cases, while the formula and usage sections help you verify the method. Use consistent units when entering values, and select the output unit that matches your report or problem statement. For most circular motion tasks, this tool gives a quick and reliable way to reach the correct linear speed.
1. Radius and angular speed: v = r × ω
2. Radius and RPM: v = 2πr × (RPM / 60)
3. Diameter and period: v = πd / T
4. Circumference and frequency: v = C × f
5. Revolutions, time, and radius: v = 2πr × (n / t)
6. Arc distance and time: v = s / t
Where v is linear speed, r is radius, ω is angular speed, d is diameter, T is period, C is circumference, f is frequency, n is revolutions, s is arc distance, and t is time.
Linear speed is the distance traveled along the circle per unit time. It measures how fast a point moves on the circular path, usually in m/s, km/h, mph, or ft/s.
No. Angular speed measures turning rate, while linear speed measures path distance per time. They are related through radius, because v = r × ω.
For the same angular speed, a larger radius creates a longer circular path each turn. That means the outer point travels farther each second and has greater linear speed.
Yes. RPM is revolutions per minute. The calculator converts RPM into revolutions per second before applying the circular motion formula for linear speed.
Use period when the problem gives the time for one full revolution. Frequency is the number of revolutions per second, and period is its inverse.
Choose the unit required by your assignment, report, or application. m/s is standard in physics, while km/h, mph, and ft/s are useful in practical comparisons.
Yes. It can help with wheels, fans, turbines, rotating tools, laboratory setups, and any circular motion case where tangential or linear speed is needed.
You can still compute linear speed directly with v = s / t. That mode is useful when the path distance is known but radius or angular values are unavailable.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.