Horizontal Circular Motion (AQA A-Level Further Maths): Flashcards

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Horizontal Circular Motion
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Linear speed formula in circular motion

v=romegav = romega

Centripetal acceleration formula

a = romega^2 = rac{v^2}{r}

Centripetal force formula

F = mromega^2 = m rac{v^2}{r}

Gravity's contribution to horizontal circular centripetal force

None, gravity acts perpendicular to horizontal plane

Direction of centripetal force

Horizontal, towards the centre of the circle

Direction of linear speed in circular motion

Along the tangent to the circular path

Friction inequality with coefficient μ\mu

FμRF \leq \mu R

Centripetal force source for car on horizontal bend

Friction force between tyres and road

Vertical force balance in horizontal circular motion

R=mgR = mg

Hooke's Law tension formula for elastic string

T=λxlT = \frac{\lambda x}{l} (λ\lambda = modulus, xx = extension)

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