OPENING QUESTIONS:
Describe the conditions necessary for an object to experience uniform circular motion.
Describe angular velocity.
Describe tangential velocity.
How are they similar, how are they different?
How is angular velocity related to period?
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FORMULAE OBECTUS:
centripetal acceleration: ac = v2/r
period: T = 2πr/v
angular speed: ω=2π/T (radians/sec)
tangential velocity: v = rω (meters/sec)
tangential acceleration: a = rω2 (meters/sec2) = rα
Let's continue our efforts to zero in on the basics for this unit:
Uniform circular motion is REALLY important and should take the majority of our attention and we should focus on angular velocity, tangential velocity, rotation, centripetal acceleration and centripetal force.
Khan Academy is HERE
Problems 4-35 and 4-38 may be helpful.
At this point, angular acceleration, tangential acceleration and non-uniform circular motion are not nearly as important (I should say they are tangential(!) to our conversations!) but they will take on a lot more importance in a few weeks.
Just for fun (really).
Our colleague Nathaniel posits the following:
How would we design some sort of contraption that could "fling" a (let's say 101 kg) object into space. Hint: We'd have to meet or exceed the 'escape' velocity for planet Earth: 11.2 km/s