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

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Horizontal Circular Motion
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In horizontal circular motion, how does gravity contribute to the centripetal force?

It does not contribute at all

What is the formula for linear speed in circular motion with angular velocity ω\omega and radius rr?

v=rωv = r\omega

Which expression gives the centripetal force for mass mm moving in a circle of radius rr at speed vv?

F=mv2rF = m\frac{v^2}{r}

What is the centripetal acceleration for an object with angular velocity ω\omega at radius rr?

a=rω2a = r\omega^2

In what direction is the linear speed of an object in circular motion?

Along the tangent to the circular path

For a car rounding a horizontal bend, what force provides the centripetal force?

Friction between tyres and road

What is the friction inequality involving coefficient of friction μ\mu and normal reaction RR?

FμRF \leq \mu R

When resolving vertically in horizontal circular motion, what equals the weight mgmg?

Normal reaction RR

For an elastic string with modulus λ\lambda, natural length ll, and extension xx, what is tension TT?

T=λxlT = \frac{\lambda x}{l}

What is the first step in the problem-solving strategy for horizontal circular motion?

Draw a clear diagram with all forces

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