The mass of a star is 1.61·1031 kg and its angular velocity is 1.60e-7 rad/s. find its new angular velocity if the diameter suddenly shrinks to 0.29 times its present size. assume a uniform mass distribution before and after. icm for a solid sphere of uniform density is 2/5 mr2. 1.90×10-6 rad/s

ω₂ = 1.9025 x 10⁻⁶ rad/s

Explanation:

given,

mass of star = 1.61 x 10³¹ kg

angular velocity = 1.60 x 10⁻⁷ rad/s

diameter suddenly shrinks = 0.29 x present size

      r₂  = 0.29 r₁

using conservation of angular momentum

I₁ ω₁ = I₂ ω₂

   ω₂ = 1.9025 x 10⁻⁶ rad/s

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2