Question #222929

A uniform sphere of radius 0.5m and mass 15kg rotate with the xy plane about axis through the center.find the angular momentum when the angular velocity is 3rads/ seconds


1
Expert's answer
2021-08-04T04:40:44-0400

w=3radsw =3\frac{rad}{s}

r=0.5mr =0.5m

m=15kgm = 15kg

L=IzwL = I_zw

Iz=25mr2=25150.52=1.5Iz=\frac{2}{5}mr^2= \frac{2}{5}15*0.5^2= 1.5

L=1.53=4.5L = 1.5*3 = 4.5

Answer : L = 4.5




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