Short Answer
6.1 Angle of Rotation and Angular Velocity
What is the rotational analog of linear velocity?
 Angular displacement
 Angular velocity
 Angular acceleration
 Angular momentum
What is the rotational analog of distance?
 Rotational angle
 Torque
 Angular velocity
 Angular momentum

v = \frac{\omega}{r}

v = r\omega

v = \frac{\alpha}{r}

v = r\alpha

It increases, because linear velocity is directly proportional to angular velocity.

It increases, because linear velocity is inversely proportional to angular velocity.

It decreases because linear velocity is directly proportional to angular velocity.

It decreases because linear velocity is inversely proportional to angular velocity.

\omega = \frac{v^2}{r}

\omega = \frac{v}{r}

\omega = rv

\omega = r{v^2}

Radians are dimensionless, because they are defined as a ratio of distances. They are defined as the ratio of the arc length to the radius of the circle.

Radians are dimensionless because they are defined as a ratio of distances. They are defined as the ratio of the area to the radius of the circle.

Radians are dimensionless because they are defined as multiplication of distance. They are defined as the multiplication of the arc length to the radius of the circle.

Radians are dimensionless because they are defined as multiplication of distance. They are defined as the multiplication of the area to the radius of the circle.
6.2 Uniform Circular Motion
What type of quantity is centripetal acceleration?
 Scalar quantity; centripetal acceleration has magnitude only but no direction
 Scalar quantity; centripetal acceleration has magnitude as well as direction
 Vector quantity; centripetal acceleration has magnitude only but no direction
 Vector quantity; centripetal acceleration has magnitude as well as direction

m/s

\text{m/s}^2\!

\text{m}^2\text{/s}

\text{m}^2\!\text{/s}^2\!

0^\circ

30^\circ\!

90^\circ

180^\circ

0^\circ

30^\circ

90^\circ

180^\circ
What are the standard units for centripetal force?
 m
 m/s
 m/s^{2}
 newtons

It increases, because the centripetal force is directly proportional to the mass of the rotating body.

It increases, because the centripetal force is inversely proportional to the mass of the rotating body.

It decreases, because the centripetal force is directly proportional to the mass of the rotating body.

It decreases, because the centripetal force is inversely proportional to the mass of the rotating body.
6.3 Rotational Motion
The relationships between which variables are described by the kinematics of rotational motion?
 The kinematics of rotational motion describes the relationships between rotation angle, angular velocity, and angular acceleration.
 The kinematics of rotational motion describes the relationships between rotation angle, angular velocity, angular acceleration, and angular momentum.
 The kinematics of rotational motion describes the relationships between rotation angle, angular velocity, angular acceleration, and time.
 The kinematics of rotational motion describes the relationships between rotation angle, angular velocity, angular acceleration, torque, and time.

\omega = \alpha t

\omega = {\omega _0}  \alpha t

\omega = {\omega _0} + \alpha t

\omega = {\omega _0} + \frac{1}{2}\alpha t
What kind of quantity is torque?
 Scalar
 Vector
 Dimensionless
 Fundamental quantity

It decreases.

It increases.

It remains the same.

It changes the direction.

By applying the force at different points of the lever arm along the length of the lever or by changing the angle between the lever arm and the applied force.

By applying the force at the same point of the lever arm along the length of the lever or by changing the angle between the lever arm and the applied force.

By applying the force at different points of the lever arm along the length of the lever or by maintaining the same angle between the lever arm and the applied force.

By applying the force at the same point of the lever arm along the length of the lever or by maintaining the same angle between the lever arm and the applied force.