1.

The angular velocity of body changes from 1 revolution per 16 seconds to 1 revolution per second without applying an external torque. The ratio of radii of gyration in two cases is :

Answer»

`1:4`
`4:1`
`16:1`
`1:16`

Solution :Here `omega_(1)=2pixx(1)/(16)andomega_(2)=2pixx1`
ALSO `I_(1)omega_(1)=I_(2)omega_(2)orMK_(1)^(2)omega_(1)=MK_(2)^(2)omega_(2)`
`(K_(1))/(K_(2))=sqrt((omega_(2))/(omega_(1)))=sqrt((16)/(1))=(4)/(1)`


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