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ANGULAR VELOCITY AND ITS RELATION WITH LINEAR VELOCITY

When body rotates

The linear velocity (ω) of the particle is related to the angular velocity (v)

Question 1

v = ωr and angular velocity (ω) is a vector quantity

Hint

r is the perpendicular distance of the particle from the axis of rotation

Question 2

All particles on the axis are stationary

Hint

r = 0

Question 3

Axis of rotation of each particle on a body is its center of rotation and is parallel to the plane of circle

Hint

Each particle of the body moves in a circle

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v

This Circular Disc is rotating and its angular velocity ω is directed away from the observer 

Rotation of the disc is in direction

The direction of v is to the circle at any point

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Linear Velocity

Question

a

p, q and r are the vector distances to a common point of the body which is rotating about a fixed axis with angular velocity ω

Select the correct statements

Answers

a

b

c

r

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Angular acceleration

Analogous to linear displacement (s) , velocity (v) and acceleration (a) in translational motion, we have angular displacement (θ) , angular velocity (ω)  and angular acceleration (α) in rotational motion with radius r

Fill with displacement, velocity or acceleration

s is the angular

ais the angular

ais the angular

ais the angular

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