Use speed, radius, period, frequency, or rpm inputs. Review equations, units, and downloadable results instantly. Built for accurate classroom, lab, and self-study physics calculations.
The graph plots centripetal acceleration against linear speed for the current radius. The marked point represents your calculated result.
| Case | Input style | Radius (m) | Main input | Linear speed (m/s) | Acceleration (m/s²) | Mass (kg) | Force (N) |
|---|---|---|---|---|---|---|---|
| 1 | Speed + radius | 2.00 | v = 4.00 m/s | 4.000000 | 8.000000 | 0.50 | 4.000000 |
| 2 | Frequency + radius | 1.50 | f = 1.00 Hz | 9.424778 | 59.217626 | 1.00 | 59.217626 |
| 3 | RPM + radius | 0.80 | rpm = 90.00 | 7.539822 | 71.061151 | 0.25 | 17.765288 |
| 4 | Period + radius | 3.00 | T = 5.00 s | 3.769911 | 4.737410 | 2.00 | 9.474820 |
Uniform circular motion keeps an object moving around a fixed radius. The speed can stay constant, but the direction changes at every point. That direction change creates centripetal acceleration toward the center.
This calculator solves all linked values after one valid input pair. It also reports circumference and g-load for better physical interpretation.
Uniform circular motion acceleration is also called centripetal acceleration. It describes how fast velocity changes direction while an object follows a circular path. The object may keep the same speed. Still, its direction never stops turning. That constant turning creates inward acceleration. Physics students use this idea in mechanics, astronomy, engineering, ride design, and rotating systems.
Two inputs control the main result. They are linear speed and radius. Faster motion raises acceleration very quickly because speed is squared. A smaller radius also increases acceleration because the turn becomes tighter. The same motion can also be described with angular speed, period, frequency, or rpm. These are different ways to describe the same circular behavior.
If you know the angular speed, multiply it by radius to get linear speed. If you know period, first convert it to frequency. Then convert frequency to angular speed. Once one form is known, the rest follow from standard circular motion equations. This calculator handles those linked conversions automatically. That reduces repeated manual work and helps you check unit consistency.
The result helps estimate inward force requirements, stress in rotating parts, and motion demands in lab problems. It is useful for classroom practice, lab analysis, and technical planning. The optional mass field adds centripetal force, which is often needed in problem solving. The graph also helps visualize how acceleration grows with speed for a fixed radius.
It is the inward acceleration required to keep an object moving in a circle at constant speed. The direction points toward the center of the path at every instant.
Acceleration measures changes in velocity, not only changes in speed. In circular motion, the direction of velocity changes continuously, so acceleration exists even when speed remains constant.
Use the formula that matches your known inputs. If you know speed and radius, use a = v²/r. If you know angular speed, use a = ω²r.
Yes. Enter mass in kilograms. The calculator then multiplies mass by centripetal acceleration to estimate centripetal force in newtons.
Use meters for radius, meters per second for speed, radians per second for angular speed, seconds for period, hertz for frequency, and revolutions per minute for rpm.
For the same speed, acceleration increases as radius decreases. A tighter curve needs a stronger inward pull to maintain the circular path.
Yes, if radius is also known. RPM converts to frequency and angular speed, which then gives linear speed and centripetal acceleration.
Because acceleration depends on the square of linear speed. Doubling speed makes centripetal acceleration four times larger when radius stays unchanged.
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.