The angular acceleration of a particle moving along a circular path with uniform speed is

Options

A. uniform but no zero
B. Zero
C. variable
D. such as cannot be predicted from the given information

Explanation

To solve the question regarding the angular acceleration of a particle moving along a circular path with uniform speed, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Uniform Speed**:
- When a particle moves with uniform speed, it means that the speed (magnitude of velocity) is constant. Hence, there is no change in the speed of the particle.

2. **Analyzing Circular Motion**:
- In circular motion, even if the speed is constant, the direction of the velocity vector is continuously changing. This means that the particle is undergoing centripetal acceleration directed towards the center of the circle.

3. **Angular Velocity**:
- Angular velocity (ω) is defined as the rate of change of angular displacement with respect to time. For uniform circular motion, angular velocity remains constant.

4. **Angular Acceleration**:
- Angular acceleration (α) is defined as the rate of change of angular velocity with respect to time. Mathematically, it can be expressed as:
\[ \alpha = \frac{d\omega}{dt} \]
- Since the angular velocity (ω) is constant in uniform circular motion, the change in angular velocity over time is zero.

5. **Conclusion**:
- Therefore, since there is no change in angular velocity, the angular acceleration (α) is:
\[ \alpha = 0 \]
- Hence, the angular acceleration of a particle moving along a circular path with uniform speed is zero.

### Final Answer:
The angular acceleration of a particle moving along a circular path with uniform speed is **0**.

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