### 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.