How long will the pebble take to slip on the disk surface, Physics

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How long will the pebble take to slip on the disk surface

A horizontal disk of radius 5.00 cm accelerates angularly fromrest with an angular acceleration of 0.250 rad/s². Asmall pebble located halfway out from the center has a coefficientof static friction with the disk of 0.15.

(a) How long will the pebble take to slip on the disk surface?

(b) How many revolutions will the disk have rotated through at thattime?

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