Which of the following statements is false for a particle moving in a circle with a constant angular speed?
- AThe velocity vector is tangent to the circle.
- BThe acceleration vector is tangent to the circle.
- CThe acceleration vector points to the centre of the circle.
- DThe velocity and acceleration vectors are perpendicular to each other.
Solution & Step-by-step Explanation
In uniform circular motion (constant angular speed):The velocity is always tangential to the path. (Option A is true)There is no tangential acceleration because speed is constant.The only acceleration is centripetal acceleration, which points toward the center. (Option C is true, Option B is false)Since velocity is tangential and acceleration is radial, they are perpendicular. (Option D is true)