Circular motion || Circular motion definition || circular motion formulas|| definition & formulas| chapter circular motion all definition||

Definition and Formules                                   

CIRCULAR MOTION

CIRCULAR MOTION DEFINITION

The motion of partical along the circumference of circle is called circular motion . Circular motion is of two type uniform circular motion and non-uniform circular motion .

Uniform circular motion

The motion of particle in which its speed remains constant is called uniform circular motion.

 Non uniform circular motion

 the circular motion of particle average speed of particle goes on changing use cal non uniform circular motion.

Angular displacement

An angle traced by a radius vector at the centre of the circle is called angular displacement, Angular displacement is represented by 𝚹 its unit is radian is direction is given by Right Hand Thumb Rule.

Angular velocity

The rate of change of angular displacement with respect to time is called angular velocity.

Its unit is rad/sec and distance is along the axis of circular motion and given by Right hand Thumb Rule.

Angular acceleration

 The rate of change of angular velocity with respect to time is angular acceleration. Its unit is rad/sec square and distance is given by Right Hand Thumb Rule.

Time period

Time taken by a particle performing uniform circular motion to complete one Revolution is called time period.

Frequency

The number of revolution completed by a particle performing uniform circular motion in one second is called frequency. The frequency and time period are always reciprocal of each other.

Centripetal force

A force acting on a particle performing circular motion along the radius and towards the centre of circle is called centripetal force.

Centrifugal force

A force acting on a particle performing circular motion along the radius and away from the centre of circle is call centrifugal force.

Banking of road 

 The phenomena of raising the outermost edge of the road at the higher level as compared to inner edge at curved road is called banking of road.

 Angle of Banking

The angle made by a road surface with horizontal at curved road is called an Angle of Banking.

 Conical pendulum

A simple pendulum in which a bob makes a horizontal circle and string makes a cone is called conical pendulum.

CIRCULAR MOTION FORMULES

Angular displacement : 𝚹=Arc distance/Radius vector

Angular displacement : 𝛚=𝜹𝚹/𝜹t

Angular acceleration : 𝜶 =𝞭𝝎/𝞭t

Relation between Linear velocity and angular velocity = v =𝝎 * r

Time period : T = 2πr/v

Frequency : f =𝝎/2π & f= v/2πr

Centripetal acceleration : 𝜶= 𝝎*v

Centripetal force : fc = m𝝎2r & fc=mv2/r

Centrifugal force : fg = 2r-m𝝎 & fg + mv2/r

Banking of road : v=√𝜇rg

maximun velocity of vehical on curved bank frictious road : 𝜭=tan⊣(v2/rg)

Time period of conical pendulum : T = 2π√lcosӨ

Equation of kinamatics = In Linear motion              In circular motion

                                            v = u+at                               ω=ω.+αt

                                            v2 = u2 + 2as                       ω2=ω2 +2 αӨ

                                            s = ut+1/2 at2                      Ө=ω.t+1/2αt2

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