Final answer:
The value of acceleration for a particle in uniform circular motion is 8 m/s². Centripetal acceleration is a key factor in determining velocity during such motion, which entails constant speed with acceleration directed towards the center of the circle.
Step-by-step explanation:
The value of acceleration for a particle in uniform circular motion is given as 8 m/s². If a particle executes circular motion with constant angular frequency, we can determine various properties at any given time. For example, its position, velocity, and acceleration can be calculated using kinematic equations and understanding of uniform circular motion.
If a particle's centripetal acceleration is known at a specific instant, we can derive its velocity using the relation ac = v²/r, where ac is the centripetal acceleration, v is the velocity, and r is the radius of the circular path. During uniform circular motion, acceleration remains directed towards the center, maintaining the circular path, while the particle's speed remains constant.