Overview
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The length of time that we recommend members of each team spend on this topic are as follows:
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Alpha – 20 days
Bravo – 15 days
Charlie – 12 days
Delta – 9 days
Echo – 7 days
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Happy learning!
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Learning Objectives
How to measure an angle in radians
How to convert an angle in degrees to an angle in radians, and vice versa
How to input radians into a calculator
What is meant by linear velocity
What is meant by angular velocity
State the relationship between linear and angular velocity
Find the angular and linear velocity of an object
Understand why objects moving in uniform circular motion are still accelerating
What is meant by centripetal acceleration
What is meant by tangential acceleration
Understand which forces change the magnitude of an object’s linear velocity
Understand which forces change the direction of an object’s linear velocity
Prove that the linear velocity vector is directed tangent to the circle
Prove that the centripetal acceleration vector is directed towards the centre of the circle
Prove that the centripetal force vector is directed towards the centre of the circle.
Derive the magnitude of the centripetal acceleration
Derive the magnitude of the centripetal force
Apply Newton’s 2nd law to objects undergoing horizontal circular motion
Apply Newton’s 2nd law and conservation of energy to objects undergoing vertical circular motion
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Keywords
radian
linear velocity
angular velocity
centripetal acceleration
tangential acceleration
centripetal force
tangential force
uniform circular motion
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