Circular Motion

alex.examtime9373
Mind Map by , created almost 6 years ago

This mind map provides an introduction to circular motion. Topics covered include angular & linear velocity, periodic time, centripetal acceleration, centripetal & centrifugal forces, and Kepler's third law. It is aimed at a leaving certificate student, or someone who has an interest in learning more about circular motion.

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alex.examtime9373
Created by alex.examtime9373 almost 6 years ago
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Circular Motion
1 Angle
1.1 Radians
1.2 Arc length/ radius
1.3 Scalar quantity
2 Velocity
2.1 Angular velocity (ω)
2.1.1 Rate of change of angle
2.1.2 Vector quantity
2.1.3 Radians per second
2.2 Linear velocity (v)
2.2.1 Speed of the particle in a direction perpendicular to the radius at that point
2.2.2 Vector quantity
2.2.3 Metres per second
2.3 v = rω
2.3.1 v = linear velocity
2.3.2 r = radius
2.3.3 ω = angular velocity
3 Periodic time (T)
3.1 Time taken for one complete revolution
3.2 T = 2π/ω
3.3 T = 2πr/v
4 Centripetal acceleration
4.1 Directed towards the centre of the circle
4.2 Vector quantity
4.3 Metres per second squared
4.4 a = ω²r
4.5 a = v²/r
5 Force
5.1 Centripetal force
5.1.1 Force required to maintain uniform circular motion
5.1.2 Directed towards the centre
5.1.3 Newton
5.1.4 F = mω²r
5.1.5 F = mv²/r
5.2 Centrifugal force
5.2.1 Opposing force
6 Circular satellite orbits
6.1 Kepler's third law
6.1.1 T² = (4π²R³)/GM

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