3/10 AP: Rotational motion, day 2

In class

  • Whiteboard problems from last night’s homework.
  • Start on tonight’s homework: Problems 15, 19, 21, 23 on page 219.

Homework

  • Read Sections 7.2 and 7.3, pages 193-198
  • Solve problems 15, 19, 21, 23 on page 219.
  • If you are up at around 6:30, take a look to the east and look for Mars, Jupiter, and Saturn, which will be lined up right above where the sun will rise.

3/6 AP: Introduction to angular motion

In our next unit we will be studying rotational motion. So far, the motion we have been studying is translational–where object move from one place to another. In rotational motion, things go around in circles, but the system doesn’t move from one place to another.

Comparing translational and rotational motion.

Translational conceptEquation and symbolRotational ConceptEquation and symbol
Displacement∆xAngular displacement ∆Φ
VelocityV=∆x/∆tAngular velocity ω = ∆Φ/∆t
Accelerationa=∆v/∆tAngular acceleration α = ∆Ω/∆t
MassMMoment of inertiaI = m ∙ r2
ForceF=m ∙ aTorqueτ = r ∙ f = I ∙ α
WorkW=F ∙ d ∙ cos(θ)Work
Power P=F ∙ vPowerP = τ ∙ ω
Kinetic energy Kinetic energy

Greek letters used above

You need to be able to use the name for these Greek letters

  • Φ phi (lower case)
  • ω omega (lower case)
  • α alpha (lower case)
  • Ι iota (upper case)
  • τ tau (lower case)
image showing similarities in translational and rotational equations/relationships