Question

Explain about Angular kinematics

Explain all the fundamental physical quantities according to Angular kinematics


Points ➡ 50

Answer 1

angular kinematics , is treated just like linear kinematics . you can understand this by below explanation .

★ angular displacement :- difference between final angular position to initial angular position is known as angular displacement .
e.g ∆∅ = ∅f - ∅i
where ∆∅ is angular displacement ,
∅f is final position , ∅i is initial position .
# SI unit of angular displacement is radian. it is dimensionless quantity .


★ angular velocity :- angular displacement per unit time is known as angular velocity .
e.g
W ( Omega ) = ∆∅/∆t
for instantenous angular velocity
W(Omega) =d∅/dt
#SI unit of angular velocity is rad/sec
dimension of angular velocity is [ T^-1 ]

★angular acceleration :- change in angular velocity per unit time is known as angular acceleration .
e.g
A = ∆W/∆t

for instantenous acceleration
A = dW/dt

# SI unit of angular acceleration is rad/sec²
dimension of angular acceleration is [ T^-2 ]

now, we will see that how angular kinematics is similar to linear kinematics .

by linear kinematics
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V = u+ at

S = ut + 1/2at²

V² = u² +2aS

Snth = u + a(2n -1)/2


now, angular kinematics
======================
W =w° + At

∆∅ =w°t + 1/2At²

W² =w°² +2A∆∅

∆∅nth = w° +A(2n -1)/2

here w° is initial angular velocity , w is final angular velocity , A is angular acceleration , ∆∅ is angular position , ∆∅nth is angular position at t = nth sec .

now , I hope you understand , how to treat angular kinematics .

Answer 2

Heya Mate !!!

Here's Your Answer ⏬

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=> Angular kinematics is the study of rotational motion in the absence of forces.

=> It's Fundamentals are ;-

1) Angular Displacement :-

The difference between final angular position to initial angular position is known as angular displacement . 

2) Angular Velocity :-

The angular displacement per unit time is known as angular velocity . 

3) Angular Acceleration :-

The change in angular velocity per unit time is known as angular acceleration . 

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