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 ac 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. ac = v2r It can be expressed in terms of angular speed ω as ac = ω2r
(
v
)2
Velocity
Angular Acceleration
ac
=
r
Radius
Angular Acceleration
Angular Velocity
Radius
ac
=
(
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: Fc = mω2r
