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(I) Relation between rotational kinetic ...

(I) Relation between rotational kinetic energy and Angular momentum is `(L^(2))/(2I)`
(II) Rotational work done is `F theta`
Which one is correct ?

Text Solution

Verified by Experts

We know that, Rotational kinetic Energy
`E_(kr)=(1)/(2) I omega^(2)=(1)/(2) I omega xx omega=(1)/(2). L omega=(1)/(2) (L^(2))/(I)`
`E_(kr)=(L^(2))/(2I), L^(2)=2IE_(kr)`
`L=sqrt(2IE_(kr))= sqrt(21). sqrt(E_(kr))`
Graph of `sqrt(E_(kr))` and L :
The shape of the graph is a straight line. (1) The slope of the graph gives the value of moment of inertial (1) We know that the slope gives the value of moment of Inertia. The line A has higher slope and hence more moment of Inertia.

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