1. Rotation Quiz 1 Average =73.83 A,B28.71 Standard Deviation =13.56 D,F,W31.68

2. Rotation Quiz 2 Which of these are valid equations for rotation? 1. θ = θ 0 + ω 0 Δt + ½ α Δt 2 2. K = I ω 3. Σ L = 0 (if there are no external torques) 4. ω = ω 0 + α Δt 5.I = amR 2 6. Σ τ = I α

3. Rotation Quiz 3 Which of these are valid equations for rotation? 1. θ = θ 0 + ω 0 Δt + ½ α Δt 2 2. K = I ω 3. Σ L = 0 (if there are no external torques) 4. ω = ω 0 + α Δt 5.I = amR 2 6. Σ τ = I α

4. Rotation Quiz 4 I have a string tied to a cylinder of mass 1 kg and radius 10 cm as shown below. If I pull the string with a force of 10 N, what is the change in angular velocity of the cylinder after 3 seconds? (Hint: use one or more of the equations below.) Give your answer in _____ rad/s k. Table 9.2 1. ω = ω 0 + α Δt 2.I = amR 2 (for a cylinder spinning around its central axis a=1/2.) 3. Σ τ = I α

5. Rotation Quiz 5 I have a string tied to a cylinder of mass 1 kg and radius 10 cm as shown below. If I pull the string with a force of 10 N, what is the change in angular velocity of the cylinder after 3 seconds? (Hint: use one or more of the equations below.) Give your answer in _____ rad/s k. I = ½ mR 2 = ½ (1 kg) (10 cm) 2 (1 m / 100 cm) (1 m / 100 cm) = 0.005 kg m 2 Table 9.2

6. Rotation Quiz 6 I have a string tied to a cylinder of mass 1 kg and radius 10 cm as shown below. If I pull the string with a force of 10 N, what is the change in angular velocity of the cylinder after 3 seconds? (Hint: use one or more of the equations below.) Give your answer in _____ rad/s k. τ = R X F τ = R F sin φ = (10 cm) (1 m / 100cm) (10 N) sin (90 o ) = 1 N m Table 9.2

7. Rotation Quiz 7 I have a string tied to a cylinder of mass 1 kg and radius 10 cm as shown below. If I pull the string with a force of 10 N, what is the change in angular velocity of the cylinder after 3 seconds? (Hint: use one or more of the equations below.) Give your answer in _____ rad/s k. τ = Iα α = τ / I = (1 N m) / (0.005 kg m 2 ) = 200 rad / s 2 Table 9.2

8. Rotation Quiz 8 I have a string tied to a cylinder of mass 1 kg and radius 10 cm as shown below. If I pull the string with a force of 10 N, what is the change in angular velocity of the cylinder after 3 seconds? (Hint: use one or more of the equations below.) Give your answer in _____ rad/s k. Table 9.2 ω = ω 0 + α Δt Δ ω = α Δt = (200 rad / s 2 ) (3 s) = 600 rad/s

9. Rotation Quiz 9 In the picture below the wheel is spinning counterclockwise as seen from the top. If the wheel is completely flipped, what direction will the man spin? (Assume that angular momentum for the system is conserved.) 1.Clockwise 2.Counterclockwise 3. It depends on something not yet discussed.

10. Rotation Quiz 10