### Critical Thinking Items

### 6.1 Angle of Rotation and Angular Velocity

- The arc length is directly proportional to the radius of the circular path, and it increases with the radius.
- The arc length is inversely proportional to the radius of the circular path, and it decreases with the radius.
- The arc length is directly proportional to the radius of the circular path, and it decreases with the radius.
- The arc length is inversely proportional to the radius of the circular path, and it increases with the radius.

- 2v
- \frac{v}{2}
- - v
- 0

### 6.2 Uniform Circular Motion

- Velocity is tangential, and acceleration is radially outward.
- Velocity is tangential, and acceleration is radially inward.
- Velocity is radially outward, and acceleration is tangential.
- Velocity is radially inward, and acceleration is tangential.

- More force is required, because the force is inversely proportional to the radius of the circular orbit.
- More force is required because the force is directly proportional to the radius of the circular orbit.
- Less force is required because the force is inversely proportional to the radius of the circular orbit.
- Less force is required because the force is directly proportional to the radius of the circular orbit.

### 6.3 Rotational Motion

Consider two spinning tops with different radii. Both have the same linear instantaneous velocities at their edges. Which top has a higher angular velocity?

- the top with the smaller radius because the radius of curvature is inversely proportional to the angular velocity
- the top with the smaller radius because the radius of curvature is directly proportional to the angular velocity
- the top with the larger radius because the radius of curvature is inversely proportional to the angular velocity
- The top with the larger radius because the radius of curvature is directly proportional to the angular velocity

- It increases, because the torque is directly proportional to the mass of the body.
- It increases because the torque is inversely proportional to the mass of the body.
- It decreases because the torque is directly proportional to the mass of the body.
- It decreases, because the torque is inversely proportional to the mass of the body.