In a uniform circular motion , the direction of linear velocity is along the

Options

A. radius vector away from centre
B. radius vector towards the centre
C. prependicular to the plane of the circular motion
D. tangent to the curve path

Answer

To solve the question regarding the direction of linear velocity in uniform circular motion, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Uniform Circular Motion**:
- In uniform circular motion, an object moves in a circular path with a constant speed. However, the direction of the velocity vector changes continuously.

2. **Defining Linear Velocity**:
- Linear velocity is a vector quantity that has both magnitude and direction. The magnitude remains constant in uniform circular motion, but the direction changes.

3. **Analyzing the Options**:
- **Option 1**: Radius vector away from the center.
- This implies that the velocity would be directed outward from the center of the circle. This is incorrect because the velocity is not directed away from the center.

- **Option 2**: Radius vector towards the center.
- This suggests that the velocity is directed inward towards the center of the circle. This is also incorrect, as the velocity is not directed towards the center.

- **Option 3**: Perpendicular to the plane of the circular motion.
- This would imply that the velocity is directed either above or below the plane of the circular motion. This is incorrect because the velocity is not perpendicular to the plane of motion.

- **Option 4**: Tangent to the curved part.
- This option states that the direction of linear velocity is tangential to the circular path. This is correct because, at any point on the circular path, the velocity vector is always tangent to the circle.

4. **Conclusion**:
- After analyzing all the options, the correct answer is that in uniform circular motion, the direction of linear velocity is along the tangent to the curved part of the circle.

### Final Answer:
The direction of linear velocity in uniform circular motion is along the tangent to the curved part of the circle.

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