A body moving along a circular path has

Options

A. a constant speed
B. a constant velocity
C. no tangential velocity
D. no radial acceleration

Answer

To solve the question about a body moving along a circular path, we need to analyze the concepts of speed, velocity, tangential velocity, and radial acceleration.

### Step-by-Step Solution:

1. **Understanding Speed and Velocity**:
- Speed is a scalar quantity that refers to how fast an object is moving, regardless of its direction.
- Velocity is a vector quantity that includes both speed and direction. Therefore, if the direction of motion changes, the velocity changes even if the speed remains constant.

2. **Constant Speed in Circular Motion**:
- When a body moves along a circular path at a constant speed, it means that the magnitude of the speed remains unchanged. For example, if a car travels around a circular track at 60 km/h, its speed is constant.

3. **Constant Velocity in Circular Motion**:
- Although the speed is constant, the direction of the body’s motion is continuously changing as it moves along the circular path. Since velocity depends on both speed and direction, the velocity is not constant.

4. **Tangential Velocity**:
- Tangential velocity refers to the velocity of an object moving along the edge of a circular path. Since the body is moving along the circular path, it indeed has a tangential velocity, but this velocity is not constant in terms of direction.

5. **Radial Acceleration**:
- In circular motion, even if the speed is constant, there is an acceleration directed towards the center of the circular path, known as centripetal (or radial) acceleration. This acceleration is responsible for changing the direction of the velocity vector, allowing the object to maintain its circular path.

6. **Conclusion**:
- Therefore, the body moving along a circular path has:
- Constant speed (Magnitude of velocity is constant)
- Not constant velocity (Direction is changing)
- Tangential velocity (Yes, it has a tangential velocity)
- Radial acceleration (Yes, it has radial acceleration)

### Final Answer:
A body moving along a circular path has a constant speed, but not a constant velocity. It has tangential velocity and radial acceleration.

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