Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance s in the given amount of time t. s

The linear velocity is represented by the following expression:

Explanation:

From Rotation Physics we know that linear velocity of a point moving with uniform circular motion is:

(Eq. 1)

Where:

- Radius of rotation of the particle, measured in meters.

- Angular velocity, measured in radians per second.

- Linear velocity of the point, measured in meters per second.

But we know that angular velocity is also equal to:

(Eq. 2)

Where:

- Angular displacement, measured in radians.

- Time, measured in seconds.

By applying (Eq. 2) in (Eq. 1) we get that:

(Eq. 3)

From Geometry we must remember that circular arc (), measured in meters, is represented by:

The linear velocity is represented by the following expression:

d) physical means can be used to separate the components of air.

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s