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Notes and Important Points on Circular Motion for JEE Main 2015 by ednexa.com
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Introduction to the subject Motion
Circular Motion By- Prof. Dnyanesh
Vaidya
What does motion mean ?
Displacement of particle with respect to other particle is known as motion.
Types of Motion
Motion
Translational/Linear
Circular/Rotational
Oscillatory/Vibration
Circular motion Motion of a particle along the
circumference of a circle is called circular motion.
Position Vector or Radius Vector
A vector drawn from the centre of the circular path to the position of the particle performing circular motion at a instant, is called the position vector or radius vector
Angular Displacement Angular displacement θ of a
particle in a given time is defined as the angle traced by its radius vector in that time at the origin of frame of reference.
∴ angular displacement = ∠BOA = θ
arcBA
Butr
s
r
It is expressed in radian -------------- s
r
Angular Velocity
The rate at which the angular displacement takes place is called angular velocity (ω)
----------------------------
qvAverage angular velocityt
The instantaneous angular velocity can be obtained at limiting value of δt
----------------------------
t 0
dlim
t dt
It is measured in rad/sec.
U.C.M.“ Motion of a body along the circumference of a circle with
uniform linear speed or uniform
angular velocity.”
Angular Acceleration
The rate of change of angular velocity is called ‘angular acceleration (α)’
2 1
av t
i 2t 0
dw radlim It is measured in
t dt s
Thank You.