A wheel is rotating at 900 rpm about its axis.When the power is cut-off it

A wheel is rotating at 900 rpm about its axis.When the power is cut-off it comes to rest in 1 min.The angular retardation in rad sā»Ā² is

Options

(a) šœ‹Ā / 2
(b) šœ‹Ā / 4
(c) šœ‹Ā / 6
(d) šœ‹Ā / 8

Correct Answer:

šœ‹Ā / 2

Explanation:

w = 900 x 2Ļ€/60 = 30Ļ€
Angular Retardation = [final velocity ā€“ initial velocity] / time
= (30Ļ€ ā€“ 0)/60 = Ļ€/2
Therefore, the angular retardation is Ļ€/2.

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