Circular Motion 1 (AQA A-Level Further Maths): Quizzes

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Kinematics of Circular Motion
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How many radians equal one complete revolution in circular motion?

2π2\pi radians

What is the formula relating arc length ss, radius rr, and angular displacement θ\theta?

s=rθs = r\theta

What are the SI units for angular velocity ω\omega?

rad \cdot s1^{-1}

Which formula correctly relates linear velocity vv to angular velocity ω\omega and radius rr?

v=rωv = r\omega

What is the formula for time period TT in terms of angular velocity ω\omega?

T=2πωT = \frac{2\pi}{\omega}

Which formula gives centripetal acceleration for an object with speed vv and radius rr?

a=v2ra = \frac{v^2}{r}

In which direction does centripetal acceleration act?

Towards the center of the circle

What is the formula for centripetal force on mass mm moving with angular velocity ω\omega?

F=mrω2F = mr\omega^2

What provides the centripetal force for a car rounding a bend?

Friction between tyres and road

To convert 120 rpm to rad s1^{-1}, multiply by 2π2\pi then divide by what?

60

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