Question

relationship with other physical quantitities angular acceleration ​

Answer 1

Explanation:

Uniform Circular Motion and Gravitation discussed only uniform circular motion, which is motion in a circle at constant speed and, hence, constant angular velocity. Recall that angular velocity ω was defined as the time rate of change of angle θ:

ω

=

Δ

θ

Δ

t

where θ is the angle of rotation as seen in Figure 1. The relationship between angular velocity ω and linear velocity v was also defined in Rotation Angle and Angular Velocity as

v = rω

or

ω=v/r

where r is the radius of curvature. According to the sign convention, the counter clockwise direction is considered as positive direction and clockwise direction as negative

Angular velocity is not constant when a skater pulls in her arms, when a child starts up a merry-go-round from rest, or when a computer’s hard disk slows to a halt when switched off. In all these cases, there is an angular acceleration, in which ω changes. The faster the change occurs, the greater the angular acceleration. Angular acceleration α is defined as the rate of change of angular velocity. In equation form, angular acceleration is expressed as follows:

α

=

Δ

ω

Δ

t

,

where Δω is the change in angular velocity and Δt is the change in time. The units of angular acceleration are (rad/s)/s, or rad/s2. If ω increases, then α is positive. If ω decreases, then α is negative.

Answer 2

Explanation:-

Angular acceleration:- It is defined as the rate change of angular velocity is known as angular acceleration.

• It is denoed by $\alpha$

Angular acceleration can be given by formula :-

$\huge\boxed{\alpha = \dfrac{\omega}{T}}$

Where $\omega$ is the angular velocity.

The realation between angular acceleration and tangential acceleration.

$\huge \boxed{ a_t =r\alpha }$

where $a_t$ is the tangential acceleration.

and r is the radial distance.