The mass ofa star is 3.98 xx 10^30 kg and its radius is 106 km. It rotates.about its axis with an angular speed of 10^(-6) rad/s. Calculate the speed of the star when it collapses to a radius of 10^4 km ? Assume the moment of inertia of the star to be 2/5 mr^(2).

The mass ofa star is 3.98 xx 10^30 kg and its radius is 106 km. It rot

1.	The mass ofa star is 3.98 xx 10^30 kg and its radius is 106 km. It rotates.about its axis with an angular speed of 10^(-6) rad/s. Calculate the speed of the star when it collapses to a radius of 10^4 km ? Assume the moment of inertia of the star to be 2/5 mr^(2).
Answer» SOLUTION :`I_(1)omega_(1)=I_(2)omega_(2), (2//5)mr_(1)^(2) XX 10^(-6)=(2//5) mr_(2)^(2) xx omega_(2),r_(1) = 10^(6) km , r_(2) = 10^(4) km, omega_(2) = 10^(-2) "rads"^(-1)`