The answer is -66.7% please show me how to get to this answer. Please be detailed and show step by step.
here,
mass , m = 1 kg
radius , r = D/2 = 0.25 m
initial angular speed , w0 = 10 rad/s
let the final angular speed be w
using conservation of angular momentum
I * w = I0 * w0
(0.5 * m * r^2 + m * r^2) * w = (0.5 * m * r^2) * w0
1.5 * w = 0.5 * 10
w = 10 /3 rad/s
the percentage of initial kinetic energy converted lost , % = ( 0.5 * I0 * w0^2 - 0.5 * I * w^2) /( 0.5 * I0 * w0^2) * 100
% = ( 0.5 * m * r^2 * 10^2 - 1.5 * m * r^2 * (10/3)^2) /( 0.5 * m * r^2 * 10^2) * 100
% = 2/3 * 100 = 66.7 %
The answer is -66.7% please show me how to get to this answer. Please be detailed...
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