NEET Physics Question - Circular Motion - Dynamics of 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 \(= \frac{dv}{dt}\) and centripetal acceleration \(= \frac{v^2}{R}\).

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:

Assertion (A) is true: As speed \(v\) increases, centripetal acceleration \(a_c = v^2/R\) increases, while tangential acceleration \(a_t\) is constant. The angle \(theta\) between resultant and tangential acceleration is given by \(tan theta = a_c/a_t\), so \(theta\) increases. Reason (R) states correct formulas.

However, (R) does not explain the time-dependence of the angle, so it's not the correct explanation.

Rankers Physics

Circular Motion with Increasing Speed

Solution:

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