A particle executing uniform circular motion | vedclass

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(B) In uniform circular motion,the speed of the particle remains constant,and the particle moves along a circular path.$1$. Velocity: The velocity vec

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Transverse velocity and radial acceleration

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(B) In uniform circular motion,the speed of the particle remains constant,and the particle moves along a circular path.$1$. Velocity: The velocity vector is always tangent to the circular path at any point. This component is known as the transverse velocity $(v_t = r\omega)$. There is no radial component of velocity $(v_r = 0)$ because the distance from the center remains constant.$2$. Acceleration: Since the direction of the velocity changes continuously,there is an acceleration directed towards the center of the circle,known as centripetal or radial acceleration $(a_r = v^2/r = r\omega^2)$. There is no tangential (transverse) acceleration $(a_t = 0)$ because the speed is constant.Therefore,the particle has transverse velocity and radial acceleration.

$A$ particle executing uniform circular motion has:

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