### Problems

#### 6.1 Angle of Rotation and Angular Velocity

- 40^\circ
- 80^\circ
- 81^\circ\!
- 163^\circ

- 9\times10^{-4}\,\text{m/s}
- 3.4\times10^{-3}\,\text{m/s}
- 8.5\times10^{-4}\,\text{m/s}
- 1.3\times10^1\,\text{m/s}

#### 6.2 Uniform Circular Motion

What is the centripetal force exerted on a 1,600 kg car that rounds a 100 m radius curve at 12 m/s?

- 192 N
- 1, 111 N
- 2, 300 N
- 13, 333 N

Find the frictional force between the tires and the road that allows a 1,000 kg car traveling at 30 m/s to round a 20 m radius curve.

- 22 N
- 667 N
- 1, 500 N
- 45, 000 N

#### 6.3 Rotational Motion

An objectâ€™s angular acceleration is 36 rad/s^{2}. If it were initially spinning with a velocity of 6.0 m/s, what would its angular velocity be after 5.0 s?

- 186 rad/s
- 190 rad/s
^{2} - âˆ’174 rad/s
- âˆ’174 rad/s
^{2}

When a fan is switched on, it undergoes an angular acceleration of 150 rad/s^{2}. How long will it take to achieve its maximum angular velocity of 50 rad/s?

- âˆ’0.3 s
- 0.3 s
- 3.0 s