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Grade 11Thermal Physics

A sphere of coefficient of linear expansion a, mass m and radius r is spinning about an axis through its diameter with an angular velocity w when it is heated such that is temprature increases by delta t. what is angular velocity?

Harsh Jaiswal

8 Years agoGrade 11

1 Answer

Norman Manchu

8 Years ago

With the use of conservation of angular momentum-

I1w1=I2w2 where I represents moment of inertia and w represents angular velocity hence

${\color{Orchid} \frac{2mr^{2}}{5}w}=\frac{2m(r(1+\alpha\Delta \Theta ) ^{2}}{5}(wfinal)=\frac{2m(r^{2}(1+2\alpha\Delta \Theta )}{5}(w`)(extension)$

Equate purple equation with the last most extended form and you'll get wfinal=w|{1+2(alpha)(∆t)}

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