If a particle is moving along a circle with constant angular acceleration, then comment on the linear acceleration of the particle.

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Solution

Angular acceleration:
It is the time rate of change of angular velocity. It is represented by $α$ . It can be expressed as $α = \frac{d ω}{d t}$ .
It is related to linear acceleration , $a$ , as $α = \frac{a}{r}$ , where r is the radius of the circular motion.
Explanation:
The angular acceleration of the particle is constant.
Radius (r ) is a constant for a given path. From the above relation, we can conclude that if $α$ is constant, then linear acceleration is also constant,
Hence, the linear acceleration of particles also has a constant magnitude but varying direction.

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