Angular velocity is the rate of change of angle of a body, i.e.
omega =
v / r =
(2*pi*r)/ r*t
=
(2*pi)/ T
where T is the time period of whatever is rotating and r is the radius of the circle.
So if a circular disc is spinning at 1 m/s then the angular velocity of it is 2*pi radians/ second
Radial velocity is the velocity in m/s at the radius of the circle i.e.
radial velocity v =
omega*r
=
(2*pi*r)/ T
(equivalent to speed =
distance/ time where in this case distance is the circumference of the circle and time is the time period of one rotation)
----------------------------------------------------------------------------------------------------
Angular velocity ω, i
s the rate of change of angular displacement dφ
/dt
. Itspecifies the angular speed (rotational speed) of an object and the axis about which the object is rotating.
ω =
2
πf
=2
π/T [=]
rad/s
where f is the rotation frequency (rev/s) and T the time it takes to make a
revolution (s/rev).
Tangential velocity v. When an object rotates around in a circle with radius r, its
linear velocity tangent to the circle is the tangent velocity v.
v =
ωr
[=]
m/s
Radial velocity vr, is the component of the velocity of an object away or
toward
the origin or point of observation.
By radial force, we can assume you mean centripetal force Centripetal force = (Mass)(Radius)(Angular velocity)2
angular momentum and angular velocity
linear velocity= radius* angular velocity
No, uniform angular velocity means no angular acceleration.
Angular velocity is a vector with a direction and angular speed is a scalar with no direction.
By radial force, we can assume you mean centripetal force Centripetal force = (Mass)(Radius)(Angular velocity)2
angular momentum and angular velocity
linear velocity= radius* angular velocity
No, uniform angular velocity means no angular acceleration.
Angular velocity is a vector with a direction and angular speed is a scalar with no direction.
no, velocity=displacement/time
There are several, what is it that you want to calculate? The "natural" units for angular velocity are radians/second. The relationship between linear velocity and angular velocity is especially simple in this case: linear velocity (at the edge) = angular velocity x radius.
Yes, angular velocity is a vector quantity
velosity in circular path angular
Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular velocity. Linear velocity = angular velocity x radius Centripetal acceleration = velocity squared / radius Centripetal acceleration = (angular velocity) squared x radius Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius
Yes, suppose a body is rotating anti-clockwise, then its angular velocity and angular momentum, at any moment are along axis of rotation in upward direction. And when body is rotating clockwise, its angular velocity and angular momentum are along axis of rotation in downward direction. This is regardless of the fact whether angular velocity of the body is increasing or decreasing.
The direction of angular acceleration comes from whether the angular speed of the object is clockwise or counterclockwise and whether it is speeding up or slowing down.The direction of the angular acceleration will be positive if the angular velocity is counterclockwise and the object's rotation is speeding up or if the angular velocity is clockwise and the object's rotation is slowing downThe direction of the angular acceleration will be negative if the angular velocity is clockwise and the object's rotation is speeding up or if the angular velocity is counterclockwise and the object's rotation is slowing downThe angular acceleration will not have a direction if the object's angular velocity is constant