angular torque

Question

HI i have a 32 mm thick plate with an outside diameter of 730mm and in the centre of this plate it has a hole of 48mm where it slides onto a solid shaft this shaft will be spinning at 1500 rpm how much force will this plate have when spinning at 1500 rpm can it be worked out in nm of torque if yes please do the equation for me

Answer 1

hole=48mm...iz zat how wide or radius ?????

yu gotta get the moment av inersha av the disk with hole

tu du that, integrate mass*moment arm

for serkel, moment arm=distans from senter

integrate small kube*density tu get mass*distans

or just integrate volume & later multipli bi wate av the ring

make a bunch av tiny rings...leng=2 pi r & integrate dr from r1 tu r2

moment arm...integrate2pi r^2dr...anser=(2/3)pi r^3, evaluate at 2 rads

normally, yu thro in thik av the disk so get volume & multipli bi density tu get wate

moment av inersha=wate*(2/3)pi*[ r2^3 -r1^3)