Circular Motion Flashcards

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1
Q

Derive centripetal acceleration in Circular motion.

A

s/r = ∆V/v (s=v∆t)
v∆t/r = ∆V/v
v/r² = ∆V/∆t
a = v² /r

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2
Q

How do you convert degrees to radians?

A

Multiply by 2π/360

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3
Q

How do you convert radians to degrees?

A

Multiply by 360/2π

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4
Q

What is angular velocity?

A

The angle that an object rotates through per second

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5
Q

What is the equation for angular velocity?

A

Angular velocity = angular displacement/ time
ω (rads) = θ (°)/t (s)

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6
Q

What is the equation for linear speed?

A

V = ωr

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7
Q

Derive T, time period for a complete revolution in seconds.

A

ω = 2πf
f = ω/2π (f = 1/T)
1/T = ω/2π
T = 2π/ω

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8
Q

What is Centripetal force?

A

A force acting towards the centre of a circle

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9
Q

Using F = ma, what two equations can you use to find the resultant force?

A

F = Mv² /r and F = Mrω²

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10
Q

If a car is going around a rollercoaster loop, where is the largest reaction force?

A

At the bottom as there is both Tension + Weight pulling the car down.

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