The rotational kinetic energy of the star is determined as 986.6 x 10³⁷ J.
How to calculate the rotational kinetic energy of the star?
The rotational kinetic energy of the star is calculated by applying the following formula as shown below.
K.E = ¹/₂Iω²
where;
- I is the moment of inertia
- ω is the angular speed
The given parameters include;
moment of inertia, I = 18 x 10³⁷ kg m²
angular speed, ω = 1 rev / 0.6 s = 2π / 0.6 s = 10.47 rad/s
The rotational kinetic energy of the star is calculated as follows;
K.E = ¹/₂Iω²
K.E = ¹/₂(18 x 10³⁷)(10.47)²
K.E = 986.6 x 10³⁷ J
Thus, the rotational kinetic energy of the star is 986.6 x 10³⁷ J.