Question

what do these equations mean? what do teeta and omega represent ?
alpha is angular acceleration in 2 and omega in 1 is angular speed ​

Answer 1

Explanation:

these equations represents ω is the angular velocity and α is the angular acceleration.

Angular velocity = when a particle performs a circular motion then it's Angular velocity is the rate of change of angular displacement with respect to time,

$ω = \frac{\theta2-\theta1}{t2-t1} = \frac{d\theta}{dt}$

And α represents angular acceleration of any particle moving in a circular motion,

Angular acceleration = when a particle performs a circular motion then it's angular acceleration is rate of change of angular velocity with respect to time .

$\alpha = \frac{ω2 - ω1}{t2 - t1}=\frac{dω}{dt}$

Answer 2

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EXPLAINATION ➣

(1) Angular Velocity ⇛

→Angular velocity is the $\pink{\texttt{ rate of velocity}}$at which an object or a particle is rotating around a center or a specific point in a given time period.

→It is represent by ω (omega)

→Angular velocity is measured in angle per unit time or rad/sec

→ds=vdt

⇒dθ/dt = v/r

⇒(θ2 - θ1)/ (t2 - t1) = ω

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(2)Angular Acceleration ⇛

→The $\pink{\texttt{rate of change of }}$$\pink{\texttt{ the angular velocity }}$is known as the angular acceleration.

→It is denoted by α (alpha)

→Angular acceleration is a vector quantity, its SI unit is rad/s2.

→α = dω/dt

⇒α = (ω2 - ω1)/((t2 - t1)

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