Question

Which of the following statements is false for a particle moving in a circle with a
constant angular speed?
(AIEEE 2004
a. The velocity vector is tangent to the circle
b. The acceleration vector is tangent to the circle
c. The acceleration vector points to the centre of the circle
d. The velocity and acceleration vectors are perpendicular to each other​

Answer 1

Answer:

Correct option (b) The acceleration vector is tangent to the circle.

Explanation :

For a particle moving in a circle with constant angular speed, velocity vector is always along the tangent to the circle and the acceleration vector always points towards the centre of circle or is always along radius of the circle. Since, tangential vector rs perpendicular to radial vector, therefore velocity vector will be perpendicular to the acceleration vector. But in no case, acceleration vector is tangent to the circle.

Answer 2

Answer:

a. The velocity vector is tangent to the circle is the correct answer. It is incorrect because because in a uniform circular motion, the acceleration vector is central, that is, it points in the radial direction.

Explanation:

Particle moving in a circle with a constant angular speed:

• We know that the velocity vector in circular motion is tangent to the circle.
• Uniform circular motion is achieved when a particle moves in a circle at a consistent angular speed.
• The particle's tangential acceleration is zero in uniform circular motion.
• Only radial acceleration is applied to the particle, which points to the circle's centre.
• For a particle moving in a circle with constant angular speed, the velocity vector is always tangent to the circle and the acceleration vector always points towards the centre of the circle or is always along the radius of the circle.