What is uniform circular motion? Write the formula for centripetal acceleration in uniform circular motion.
(N/A) Uniform circular motion is the motion of an object traveling at a constant speed along a circular path.
In this motion,the magnitude of the velocity remains constant,but the direction of the velocity changes continuously at every point.
Since acceleration is defined as the rate of change of velocity,and the direction of velocity is changing,the object experiences an acceleration directed towards the center of the circle.
This acceleration is known as centripetal acceleration $(a_c)$.
The formula for centripetal acceleration is given by: $a_c = \frac{v^2}{r} = \omega^2 r$,where $v$ is the linear speed,$r$ is the radius of the circular path,and $\omega$ is the angular velocity.
In this motion,the magnitude of the velocity remains constant,but the direction of the velocity changes continuously at every point.
Since acceleration is defined as the rate of change of velocity,and the direction of velocity is changing,the object experiences an acceleration directed towards the center of the circle.
This acceleration is known as centripetal acceleration $(a_c)$.
The formula for centripetal acceleration is given by: $a_c = \frac{v^2}{r} = \omega^2 r$,where $v$ is the linear speed,$r$ is the radius of the circular path,and $\omega$ is the angular velocity.
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