SI unit of Angular velocity | What is the SI unit of Angular velocity
- radian / second
Dear students, we are well familiar about the circular motion and the parameters to discuss the circular motion. The motion of particle along circumference of circle is termed as circular motion. We know that the particle performing circular and rotational motion can be discussed completely with angular velocity, angular acceleration etc. The displacement of particle along circumference of circle is considered in terms of angle and radius vector.
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)
It is vector quantity. Its direction is determined by right hand rule.
If particle performing circular motion, is displaced by small angle dθ in the small interval of time dt, then the angular velocity of particle is given as,
ω = angular displacement/time
ω = dθ/dt
In general the angular velocity can be given as,
ω = θ/t
From the above formula, SI unit of angular velocity can be given as,
ω = θ/t = radian per second
( since the SI unit of angle is radian )
In symbols we can write as,
rad/s
Important Faq on SI unit of Angular velocity
Q.1) What is the relation between linear velocity and angular velocity of the particle in rotational motion?
Answer: The relation between the linear velocity and angular velocity of particle in rotational motion is given as,
v = r
Where, v= linear velocity, r= radius of circle.
Q.2) What are the angular speeds of hands of clock?
Answer: Angular speeds of hands of clock are given as,
- Angular speed of second hand (period T= 60 sec) = 0.1047 rad/s.
- Angular speed of minute hand (period T= 60 min) = 1.744 X103 rad/s.
- Angular speed of hour hand (period T= 12 hr) =1.453 X 104rad/s.
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