Revolution Moment
What is the moment of inertia of the rotating disk?
An energy storage system based on a flywheel (a rotating disk) can store a maximum of 4.8 MJ when the flywheel is rotating at 19,600 revolutions per minute. What is the moment of inertia of the flywheel?
Rotational energy (E) equals 1/2 I w^2
where I is moment of inertia.
and w is angular velocity
Rearrange the equation to solve for I
E = 1/2 I w^2
2 E/w^2 = I
Convert rpm to rad/sec. There's 2 pi radians per revolution. There's 60 sec in a minute
2 ( 4.8 MJ)/(19,600 rpm * 2pi/60) = I
(9.6 MJ)/(2052.5 rad/sec) = I
4677 kg-m^2 = I
 |
 KORDA Photo REVOLUTION Moment Army TANK MANEUVER Cuba $17.95 Time Remaining: 4d 17h 36m |
 KORDA Photo REVOLUTION Moments Patriotic WOMEN PARADE Cuba $17.95 Time Remaining: 4d 17h 44m |