- radian / second2
Dear students, previously we learnt about the angular velocity of particle performing circular and rotational motion. We had discussed that the particle performing circular and rotational motion can be expressed completely with angular velocity, angular acceleration etc.
Angular velocity of the rotating body can be defined as ‘the rate of change of the angular displacement with time’. It is denoted by ‘ω’ (omega)
Then the angular acceleration of body can be defined as ‘the rate of change of angular velocity with time’ OR ‘change in angular velocity per unit time is called angular acceleration’. It is denoted by ‘α’ (alpha)
angular acceleration = change in angular velocity/time
If ω1 and ω2 be the initial and final values of angular velocities of particle in rotational motion for time ‘t’ then angular acceleration can be given as,
∴ angular acceleration, α = ω2 – ω1)/t
In general it can be given as,
∴ angular acceleration,α = dω/dt
It is vector quantity. Its direction is determined by right hand rule. In UCM angular acceleration is equal to zero.
From the above equation, SI unit of angular acceleration is given as
∴ angular acceleration, α = radian/second/second
∴ angular acceleration, α = radian/second^2
In symbol it can be written as,
rad/s^2
Important Faq
Q.1) What is the relation between linear acceleration and angular acceleration of the particle in rotational motion?
Answer: The relation between the linear acceleration and angular acceleration of particle in rotational motion is given as,
a = r α
Where, a= linear acceleration, r= radius of circle.
Q.2) How one can represent the angular acceleration in terms of frequency of rotation?
Answer: Angular acceleration is given as,
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