A centrifuge starts rotating from rest and reaches a rotational speed of $8, 000$ radians/sec in $25$ seconds. Calculate the angular acceleration of the centrifuge?

160 r a d i a n s / s e c^{2}

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320 r a d i a n s / s e c^{2}

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640 r a d i a n s / s e c^{2}

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10, 000 r a d i a n s / s e c^{2}

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20, 000 r a d i a n s / s e c^{2}

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Solution

The correct option is C $320 r a d i a n s / s e c^{2}$
Angular acceleration is given by ,
$α = Δ ω / Δ t$
given - $Δ ω = 8000 r a d / s^{2}, t = 25 s$
therefore , $α = 8000 / 25 = 320 r a d i a n / s^{2}$

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