Statement I: Centripetal acceleration is always directed towards the centre of rotation of an object undergoing uniform circular motion. Statement II:For uniform circular motion centripetal acceleration is a constant vector.

Question

Statement I: Centripetal acceleration is always directed towards the centre of rotation of an object undergoing uniform circular motion. Statement II:For uniform circular motion centripetal acceleration is a constant vector. (A) If both statement I and statement II are true and statement II is the correct explanation of statement I. (B) If both statement I and statement II are true but statement II is not the correct explanation of statement I. (C) If statement I is true but statement II is false. (D) If both statement I and statement II are false.

Tardigrade Admin · Accepted Answer

Centripetal acceleration =(v2/R) For uniform circular motion, v and R are constant, the magnitude of the centripetal acceleration is constant. But the direction changes-pointing always towards the centre. Therefore, a centripetal acceleration is not a constant vector.

Q. Statement I: Centripetal acceleration is always directed towards the centre of rotation of an object undergoing uniform circular motion.
Statement II:For uniform circular motion centripetal acceleration is a constant vector.

If both statement I and statement II are true and statement II is the correct explanation of statement I.

If both statement I and statement II are true but statement II is not the correct explanation of statement I.

If statement I is true but statement II is false.

If both statement I and statement II are false.

Centripetal acceleration $= \frac{v ^{2}}{R}$

For uniform circular motion, $v$ and $R$ are constant, the magnitude of the centripetal acceleration is constant. But the direction changes-pointing always towards the centre. Therefore, a centripetal acceleration is not a constant vector.

Q. Statement I: Centripetal acceleration is always directed towards the centre of rotation of an object undergoing uniform circular motion. Statement II:For uniform circular motion centripetal acceleration is a constant vector.