1500 rpm * 2pi rad is equal to 9424.78 rad/m (9424.78 rad/m) /60 s is equal to 157.08 rad/s. I = 1/2mr2 I = 1/2(2.8 kg)(.18 m) (.18 m) 2 = 0.04536 kgm2 L = Iw = 7.13 kgm2/s = (0.04536 kgm2)(157.08 rad/s).
For a point mass traveling in a circle with radius r, the moment of inertia will be equal to Mr squared. Angular momentum is defined as the moment of inertia times angular velocity. Therefore, the angular momentum is equal to 5.12-kilogram meters squared per second (0.270 kilograms times 1.35 meters squared times 10.4 radians per second).
The formula is new rpm = original rpm (original diameter current diameter)1.5 if you want to keep the chip load precisely the same. So, once it drops to 15", run your new 18" wheel at 2,366 rpm [1,800 (18 15)1.5] if you were operating it at 1,800 rpm—again, within tolerance.
to know more about angular momentum here:
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