Answer to Question #254544 in Physics for Dcgfxv

Question #254544

A fidget spinner of radius 0.05 m has a moment of inertia1.25×10^-4 kg m2

and 

is rotating at 8.4 rad s-1

. A large fly whose mass is 0.3 kg lands onto the edge of 

the rotating spinner. Calculate the angular speed of the system after the fly falling 

onto the spinner. 


1
Expert's answer
2021-10-21T16:33:50-0400

Apply conservation of angular momentum:


Iω=I1ω1, ω1=Iω/I1==(1.25104)(8.4)/(0.30.052+1.25104)==1.2 rad/s.I\omega=I_1\omega_1,\\\space\\ \omega_1=I\omega/I_1=\\=(1.25·10^{-4})(8.4)/(0.3·0.05^2+1.25·10^{-4})=\\=1.2\text{ rad/s}.


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