1 Answer

Dannielle · Answer 1 · 2021-09-25T01:34:43+0000

Answer:

The linear velocity is represented by the following expression:
v = (s)/(t)

Step-by-step explanation:

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

$v = r\cdot \omega$ (Eq. 1)

Where:

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

$\omega$ - 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:

$\omega = (\theta)/(t)$ (Eq. 2)

Where:

$\theta$ - Angular displacement, measured in radians.

- Time, measured in seconds.

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

$v = (r\cdot \theta)/(t)$ (Eq. 3)

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

$s = r\cdot \theta$

v = (s)/(t)

The linear velocity is represented by the following expression:
v = (s)/(t)

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