NEET Physics Question - Circular Motion - Non Uniform Circular Motion

Assertion (A): A particle is moving in a circle with constant tangential acceleration such that its speed \(v\) is increasing. Angle made by resultant acceleration of the particle with tangential acceleration increases with time.

Reason (R): Tangential acceleration \(= |dv/dt|\) and centripetal acceleration \(= v^2/R\).

Both (A) & (R) are true and the (R) is the correct explanation of the (A)

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

With constant tangential acceleration \(a_t\) and increasing speed \(v\), centripetal acceleration \(a_c = v^2/R\) increases. The angle \(phi\) between resultant and tangential acceleration follows \(tan\phi = a_c/a_t\), so \(\phi\) increases. Thus (A) is true. (R) correctly defines these accelerations, providing the basis for (A).

Rankers Physics

Circular Motion with Tangential Acceleration

Solution:

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