Circular Motion 2 (AQA A-Level Further Maths): Quizzes

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Kinematics of Circular Motion 2
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Why is there acceleration in circular motion even when speed is constant?

The direction changes continuously

What is the magnitude of centripetal acceleration for a body moving with angular velocity ω\omega?

a=rω2a = r\omega^2

What is the formula for centripetal force on a mass mm moving in a circle of radius rr?

F=mrω2F = mr\omega^2

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

T=2πωT = \frac{2\pi}{\omega}

In which direction is centripetal acceleration always directed?

Toward the centre of the circle

What is the relationship between linear speed vv, radius rr, and angular velocity ω\omega?

v=rωv = r\omega

What is the nature of centripetal force in circular motion?

The resultant force required

What is the alternative formula for centripetal acceleration in terms of speed vv and radius rr?

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

What does the negative sign in a=ω2r\mathbf{a} = -\omega^2\mathbf{r} indicate?

Acceleration opposite to position vector

For banked curve problems, which directions should forces be resolved in?

Parallel and perpendicular to slope

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