# Physics

The flashcards below were created by user rshar on FreezingBlue Flashcards.

1. Hoop or Cylindrical Shell
I = MR2
2. Disk or Solid Cylinder
I = 1/2 MR2
3. Disk or Solid Cylinder (axis at the rim)
I = 3/2 MR2
4. Long Thin Rod (axis through midpoint)
I = 1/12 ML2
5. Long Thin Rod (axis at one end)
I = 1/3 ML2
6. Hollow Sphere
I = 2/3 MR2
7. Solid Sphere
I = 2/5 MR2
8. Solid Sphere (axis at the rim)
I = 7/5 MR2
9. Solid Plate (axis through center, in plane of plate)
I = 1/12 ML2
10. Solid Plate (axis perpendicular to plane of plate)
I = 1/12 M(L2 + W2)
11. Rotational Kinematics (angular velocity)
ωf = ω0 + αt
12. Rotational Kinematics (theta 1)
Θf = Θ0 + 1/2 (ω0 + ωf)t
13. Rotational Kinematics (theta 2)
Θf = Θ0 + ω0t + 1/2αt2
14. Rotational Kinematics (Angular Velocity 2)
ωf2 = ω02 + 2αΘ
15. Tangential Speed
vt = rω
16. Centripetal Acceleration
acp = rω2

Centripetal acceleration is due to a change in direction of motion.
17. Tangential Acceleration
at = rα

Tangential acceleration is due to a change in speed.
18. Rolling Motion
ω = v/r

Rolling motion is a combination of translational and rotational motions. An object of radius r, rolling without slipping, translates with linear speed v and rotates with angular speed.
19. Angular Position
• Θ = s/r
• s = arc length
20. Angular Velocity
ω = ΔΘ/Δt

21. Angular Acceleration
α = Δω/Δt

Rate of change of angular velocity
22. Period of Rotation
T = 2π/ω

T = time required to complete one full rotation if the angular velocity is constant
23. Rotational Kinetic Energy
Krot = 1/2 2

I = moment of inertia
24. Kinetic Energy of Rolling Motion
K = 1/2 mv2 + 1/2 2

can also be written as

• K = 1/2 mv2 + 1/2 I (v/r)2
• = 1/2 mv2 ( 1 + I/mr2)
 Author: rshar ID: 50781 Card Set: Physics Updated: 2010-11-20 23:06:36 Tags: Rotational Kinematics Physics Folders: Description: Rotational Kinematics Formulas Show Answers: