Mathematics of circular motion (AQA A-Level Physics): Quizzes

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Mathematics of circular motion
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What is the definition of angular velocity ω\omega?

Rate of change of angular displacement

A radian is defined as the angle at the centre of a circle when what condition is met?

Arc length equals the radius

How many radians are there in a complete circle?

2π2\pi radians

What is the formula to convert rpm to rad s−1^{-1}?

rpm×2π60\frac{\text{rpm} \times 2\pi}{60}

What is the relationship between period of rotation TT and angular velocity ω\omega?

T=2πωT = \frac{2\pi}{\omega}

What is the formula relating tangential velocity vv to angular velocity ω\omega?

v=rωv = r\omega

For the same angular velocity, how does tangential velocity vary with distance from the centre?

Increases with distance

When does angular acceleration occur?

When angular velocity is changing

What is the key difference between centripetal and angular acceleration?

Centripetal present in all; angular only if ω\omega changes

What is the relationship between tangential acceleration aa and angular acceleration α\alpha?

a=rαa = r\alpha

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