What is tangential speed ? Calculate tangential speed for radius r.

Tangential speed occurs in rotaional motion and it is the
spped of a point located at a radius r.

The vector v is
perpendicular to the radius and it has a magnitude and a
direction.

The tangential speed could be calculated when
the angular speed is given

The angular speed is omega and
the tangential speed is v.

v =
r*omega

We can connect the velocity with the
angular speed in this way:

- we'll link the distance
s, covered by the point along the circle, with the angle measured in
radians:

s = r*theta (1)

theta
- the angle measured in radians

r - the radius of the
circle

But v = s/t (2)

s -
displacement

t - time

We'll
substitute (1) in (2):

v =
r*theta/t

But the ratio theta/t is the angular speed
omega.

v =
r*omega