What is angular velocity and radial velocity?

Answer 1

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)

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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.

Answer 2

Angular velocity is the rate of change of an object's angular position with respect to time, measured in radians per second. It describes how fast an object is rotating around a fixed point.

Radial velocity is the component of an object's velocity that is directed along the line of sight, either towards or away from an observer. It is commonly used in astronomy to measure the speed at which a celestial object is moving towards or away from Earth.