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Grade: 12

A circular table rotates about a vertical axis with a constant angular speed w. A circular pan rests on the turn table (with the center of table)and rotates with the table.The bottom of the pan is covered with a uniform thick layer of ice which also rotates with the pan.The ice starts melting.The angular speed of the turn table

a)remains the same b)decreases c)increases d)none.

9 years ago

Answers : (3)

879 Points

Dear student,

Applying conservation of linear and angular momentum. the angular speed of turn table remains same.

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

9 years ago
vikas askiitian expert
509 Points

since there is no external torque acting on the system so angular momentam will remain conserved...

IW = constant    or

IW = IfWf          ..........1           (If , Wf are moment of inertia & angular velocity of final state)

initially ice was at center and contribution of  mass of ice  for inertia is 0...

Iice = mr2     =0            (at center ,r=0)

finally ice melts & spreads over the turntable now its different small small elements contribute moment of inertia & net moment of inertia of system is somewhat more than initial value...

final moment of inertia = I+Iice

from eq 1

IW = (I+I1)Wf

 Wf  < W

hence option b) is correct

9 years ago
vikas askiitian expert
509 Points

due to increase in moment of inertia ,angular velocity of table decreases ...

option b) is correct

9 years ago
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