Homework SourseA Physics student is sitting on a frictionless rotating plat
A Physics student is sitting on a frictionless rotating platform. She has an initial moment of inertia of 2 kg m2 and is rotating at 2.00 radians per second counterclockwise. If she increases her moment of inertia by 17 % by spreading out her arms and legs, find her new rotation rate in REVOLUTIONS per second.?
____m/s
____m/s
Solution
Initial moment of inertia, I1 = 2 kgm^2
The initial angular speed, 1 = 2 rad/s
The final momen of inertia, I2 = increased by 17% = 2 + 17% of 2
I2 = 2 + 0.34 = 2.34 kg m^2
The final angular speed = 2
According to the law of conservation of angular momentum
L1 = L2
I11 = I22
From the above, 2 = I11/I2 = 1.71 rad/s
