1-6: A ceiling fan is switched on, and accelerates uniformly from rest to a frequency of 5 Hz over a period of 10 seconds.

1. What is the angular velocity of the fan after 10 seconds?

• A. ½π rad s^-1
• B. 2π rad s^-1
• C. 10π rad s^-1
• D. 20π rad s^-1

• A. ½π rad s^-2
• B. π rad s^-2
• C. 2π rad s^-2
• D. 10π rad s^-2
  

3. What angle, in radians, has the fan rotated through during the 10 seconds?

• A. 10π
• B. 20π
• C. 50π
• D. 100π

4. What is the angular velocity of the fan after it has completed 4 rotations?

• A. 2π rad s^-1
• B. 2π rad s^-1
• C. 4π rad s^-1
• D. 16π rad s^-1

5. The two graphs below show the fan's motion for the first 10 seconds. The y-axis labels are missing.

What are the missing y-axis labels in graphs P and Q?

6. The total angle rotated can be found from one of the graphs given suitable values on the axis. Which quantity needs to be calculated?

• A. The gradient of graph P
• B. The area under the line for graph P
• C. The gradient of graph Q
• D. The area under the line for graph Q

7+8: A cylinder is rolled down a slope. The graph below shows the motion over the first 5 seconds as it accelerates.

7. Using information from the graph, what are the values of the angle rotated and the angular acceleration?

8. Through what angle has the cylinder rotated after 2 seconds?

• A. 2 rad
• B. 4 rad
• C. 5 rad
• D. 6 rad

9+10. A car is approaching some traffic lights. It slows down and stops. During this motion the wheel rotation slows down with an angular deceleration of 5π rad s^-2.

Image by Zack Cornejo from Pixabay

9. If the time period of wheel rotation at the start is 0.1 seconds, how long does the car take to stop?

• A. 2 seconds
• B. 4 seconds
• C. 2π seconds
• D. 4π seconds

10. How many rotations does the car wheel do before stopping?

• A. 2
• B. 10
• C. 20
• D. 40