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Relation between Linear and Angular Speed

A wheel spins...

Question

A wheel spins on its axis at a constant rate and hasn't yet made a complete rotation.Which of the following statements is correct?

The angular displacement is zero

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The linear displacement is zero

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The angular acceleration is zero

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The angular velocity is zero

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None of these is zero

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Solution

The correct option is E The angular acceleration is zero
Angular velocity of wheel is constant i.e $w = c o n s t a n t$ (given)
Thus angular acceleration of the wheel $α = \frac{d w}{d t} = 0$ $r a d / s^{2}$

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