A Merry-Go-Round, Having a Radius of 2 $\times$ 10² Kg M² $\times$

Multiple Choice

A merry-go-round, having a radius of 2.5 m, is set in motion starting from rest, by students applying a force of 500 N tangential to the rim of the wheel. After five seconds of torque, the students let go and measure the rotational speed: 1.25 rad/s. The rotational inertia of the merry-go-round is

A) 7.5 $\times$ 10² kg m².
B) 1.7 $\times$ 10³ kg m².
C) 2.5 $\times$ 10³ kg m².
D) 5.0 $\times$ 10³ kg m².
E) 1.0 $\times$ 10⁴ kg m².