1. -12 points HRW10 10 cO 001 The figure bellow is a graph of the angular veloci

Question

1. -12 points HRW10 10 cO 001 The figure bellow is a graph of the angular velocity versus time for a disk rotating lke a merry-go-round (a) For a pcint on the disk rim, rank the instants a, , c, and d according to the magnitude of the tangential acceleration, oreatest first. (Use only"- symbols. Do not include any parentheses around the letters or symbols.) (b) For a point on the disk rim, rank the instants a, b, c, and d according to the magritude of the radial acceleration, greatest first. (Use onlyrsymbas. Do not include any parentheses around the letters or symbols.) Additional Materials Secon 10 1 2.O-1 points HRW10 10.C0.003. A force is applied to the rin of a disk that can rotate like a merry-qo-round,s as to chaige its angular velacity. Its initial and final anqular velocities, respettively, for four situations are the following. (a) -2 rad/s, 5 rad/s 2 rad/s, 5 radys (c) -2 tad/s,-5 tad/s (d) 2 rads -5 rads Rank the situations according to the work done by the torque due to the force, oreatest first. CUse only or- symbols. Do not indude any parentheses around the letters or symbols.)

Explanation / Answer

1. slope of w vs t curve will give us the angular acc.

slope is c > slope at a

and slope at b = slope at d = 0

Ans: c > a > b = d

(b) a_r = w^2 r

so greater the velocity is greater will be radial acc.

Ans: b > a = c > d

2. Work done = change in KE

= I (wf^2 - wi^2)/2

(A) 5^2 - (-2)^2 = 21

(b) 5^2 - 2^2 = 21

magnitude of work done is same for all.

a = b = c = d

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