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Circular Motion

Define a Radian

The angle measured when the arc length equals the radius of the circle

Define 'Angular Velocity'

The rate of change of an angle

Give 2 different formulas to find Angular velocity and its units

ω = 2πf
ω = 2π/t

rad s^-1

ω = Angular velocity

f = frequency

t =time period

Define 'Uniform Circular Motion'

Where the velocity of an object constantly changes direction, however its speed remains the same

Define 'linear velocity'

The velocity of an object rotating in uniform circular motion

Define 'Centripetal Force'

The force acting perpendicular to the motion, so no work is done on the object so its speed is constant

Centripetal Force always acts towards the centre of the circle what does this mean?

There is also an acceleration at the centre of the circle

Give the formula for linear velocity

v = rω
v = linear velocity

r = radius

ω = Angular velocity

Give 2 formula for Centripetal acceleration

a = v²/r
a = rω²

ω = Angular Velocity

a = Acceleration

v = Linear velocity

r = Radius

Give the 2 formulae for Centripetal force

F = mv²/r
F = mrω²

F = Force

m = Mass

v = Linear Velocity

ω = Angular Velocity

What is one important feature of Centripetal Force

It is a resultant force of the weight and the normal contact force

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