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`v = (2*pi* "r" )/ "T" `

Enter a value for all fields

The **Speed of Circular Motion** calculator computes the speed (**s**) of a particle or point in uniform circular motion based on the radius (**r**) of the orbit and the period of rotation, **T**.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**r**) Radius defining Orbit of Circular Motion - (
**T**) Orbital Period of Rotation

**Speed of Circular Motion (v)**: The calculator computes the velocity in meters per second. However this can be automatically converted to numerous other velocity units via the pull-down menu.

**Exercise:** Choose Years as the units for period, and Astronomical Units as the unit for radius. Then enter 1 as the value for both. The resulting velocity is the speed that the Earth travels about the Sun. Then use the pull-down menu to see the result in miles per hour (mph).

The angular frequency is the number of increments of `2*pi` radians (`2*pi` radians is one complete rotation) divided by the period of the rotation, outputting simply rotations per unit time.

The distance around the circular path is ` d = 2*pi*r` (`2*pi` radians is one complete rotation) and then `v = d / T` is the velocity.

So, `v = (2*pi*r) / T`

- Separation from Mass and Period
- Speed of Circular Orbit
- Mass of Exoplanet from Mass and Speed of Star and Planet Speed
- Mass of Exoplanet from Stellar Mass and Radius around barycenter and planetary orbit radius
- Mass from Period and Separation
- Mass from Speed and Separation
- Radius from Speed and Period
- Speed from Delta Lambda and Lambda
- Distance from Apparent and Absolute Magnitude
- Flux Ratio from Magnitudes
- Planetary Temperature
- Goldilocks Zone

The **Astronomy Calculator Suite** includes functions that are useful for studying astronomy and include the following:

- Kepler's 3
^{rd}Law formula T² = (4π • R³)/(G • M) - Small Angle Formula
*Small Angle Formula**α = S / D* - Flux and Magnitude formulas
- Telescope formulas
- Mass formulas
**Mass from Luminosity****Mass from Acceleration and Radius****Mass from Speed and Separation****Mass of extra-solar planet from mass of star, radius of star orbit and radius of exoplanet orbit****Mass of extra-solar planet from mass and velocity of star and velocity of planet****Black Hole Mass Calculator****Black Hole Event Horizon Calculator**

- Relative Size Formulas
- Wavelength Formulas
- Other Formulas
**Distance from absolute and apparent magnitude****Radius from Speed and Period****Speed of Circular Motion****Hubble Time****Galaxy Recession Velocity****Luminosity from Mass****Hubble's Law****Exoplanet Calculator****Orbital Radial Acceleration****Distance to Barycenter****Sakuma-Hattori Equation****Astronomical Distance Calculator**provides the distance from the Earth to numerous astronomical bodies (e.g. Sun, Moon, planets, stars, Milky Way's Center and Edge, Andromeda Galaxy)**Astronomical Distance Travel Time Calculator**computes the time to travel to distant parts of space at different velocities.**3D Vector Calculator****Drake Equation Calculator****Seager Equation Calculator****Friedman Equation Calculator****Lagrange Points L1 and L2****Schwarzschild Radius****Hill Sphere Radius****Escape Velocity**

- Centripetal Acceleration as a function of tangential velocity and radius,
**CLICK HERE.** - Angular Frequency as a function of orbital period,.
- Radial Acceleration as a function of orbital period and radius,
**CLICK HERE**. - Acceleration in non-uniform Circular Motion,
**CLICK HERE**.

^{1}

- ^ Young, Hugh and Freeman, Roger. University Physics With Modern Physics. Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 89, eq 3.29