Instructions: Fill in the known values and select the appropriate units. After that, click on the value you want to claculate. Note::

All numbers are rounded to 9 significant digits.

Angular velocity ω (rotational velocity, angular frequency vector) shows the rate of change of angular position (angle of orientation) of an object that moves in uniform circular motion with velocity v around the the center of circle with the radius r. ω = vr

v

Velocity

Angular Velocity

ω

=

r

Radius

Angular Acceleration a_{c} of an object is the result of the change of the direction of the velocity vector v as it uniformly moves along the circle with the radius r, while the magnitude of the velocity is contant. a_{c} = v^{2}r It can be expressed in terms of angular speed ω as a_{c} = ω^{2}r

(

v

)^{2}

Velocity

Angular Acceleration

a_{c}

=

r

Radius

Angular Acceleration

Angular Velocity

Radius

a_{c}

=

(

ω

)^{2}

⋅

r

We can express the Velocity v and the Angular Velocity ω in terms of a Period T (time it takes to complete one rotation), or equivalently frequency f as T = 1f , around the circle with the radius r as , while the magnitude of the velocity is contant. v = ω ⋅ r = 2 π rT = 2 π rf

Velocity

Angular Velocity

Radius

v

=

ω

⋅

r

=

2 π ⋅

r

Radius

T

Period

Radius

Frequency

=

2 π ⋅

r

⋅

f

1

Period

T

=

f

Frequency

Centrifugal force, exibited in the uniform circular motion of an object, is an outward force (away from center/axis of rotation) proportional to the mass m of the object, its distance r from the center of the rotation (radius of the circle) and the square of its angular velocity ω: F_{c} = mω^{2}r