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.