Question

In a non uniform circular motion of a particle :-
1. Angular acceleration of particle is perpendicular to acceleration of particle 2. Angular acceleration of particle is perpendicular to velocity of particle
3. Angular velocity of particle is perpendicular to acceleration of particle
4. Angular velocity of particle is perpendicular to velocity of particle​

Answer 1

Answer:

Correct option is

C

v

2

αr

2

Tangential acceleration, a

t

=α.r where α=angular acceleration and r=radius

Radial acceleration,a

r

=

r

v

2

where v=speed of particle

Hence,

a

r

a

t

=

v

2

α.r

2

Hence, answer is option-(C)

Answer 2

Option 3) Angular velocity of particle is perpendicular to acceleration of particle

In a non uniform circular motion of a particle Angular velocity of particle is perpendicular to acceleration of particle

• The rotation's plane and the direction of the angular acceleration vector are perpendicular to each other. The angular acceleration vector points away from the observer if the increase in angular velocity looks clockwise relative to the observer.
• Yes! In fact, think of any curved smooth surface in space. If you have a particle go down this path at a constant pace, the acceleration will always be perpendicular to the particle's velocity.
• because it's practical. Because all they are is a magnitude and a direction, a vector cannot be curved. In order to represent the rotational direction, we use the direction perpendicular to the plane.
• Radians per second (rad/s) or angle per unit time are the units used to express angular velocity. Angular acceleration is the rate at which angular velocity changes.
• The direction of the acceleration in a uniform circular motion is constant and always parallel to the direction of the velocity. The speed is also consistent. Therefore, it must be travelling in a circle.

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