Uniform Circular Motion Vectors – Rankers Physics
Topic: Circular Motion
Subtopic: Dynamics of Circular Motion

Uniform Circular Motion Vectors

A particle is executing uniform circular motion with velocity \(\vec{v}\) and acceleration \(\vec{a}\). Which of the following is true?
\(\vec{v}\) is a constant; \(\vec{a}\) is a constant
\(\vec{v}\) is not a constant; \(\vec{a}\) is a constant
\(\vec{v}\) is a constant; \(\vec{a}\) is not a constant
\(\vec{v}\) is not a constant; \(\vec{a}\) is not a constant

Solution:

In uniform circular motion, while the magnitudes of velocity and centripetal acceleration are constant, their directions continuously change. Thus, both vectors \(\vec{v}\) and \(\vec{a}\) are non-constant.

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