Question

A 0.8 m diameter wheel accelerates uniformly from 100 rpm to 160 rpm im 10 seconds. determind (a) angular acceleration (b) the number of turns it rotates in this time (c) the angular velocity of the wheel 2.0 seconds after it has started accelerating (d) the centripetal acceleration at this moment

A 0.8-m-diameter wheel accelerates uniformly from 100 rpm to 160 rpm in 10 seconds. Determine (a) its angular acceleration, (b) the number of turns it rotates in this time, (c) the angular velocity of the wheel 2.0 seconds after it has started accelerating, and (d) the centripetal acceleration at this moment.

Answer 1

Hii

wo 29 where N is som speed 60 - 3 Wia, 21TX 100 - 100 W = 20 X160, 161 t- 10 sec & by wzawitat. 16T - 100 + 2x10 (a) = lot 3 211 - (6) (C) a=0.628 rad/sec2 | 0 - 10X10 + 5 x 0.628 X (1032 o = 135.96 ino. of turns = 21.65 turns / after a sec. w o 10 11 +0:628 *2 w = 11.72 rad/sec or 112 rpm a= W2R = (11.722 x 0.4 Ac = 54.94 m/s² (d)

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