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The diameter of a solid solid disc is 0.5 m and its mass is 16 kg. What torque will increase its angular velocity from zero to 120 rotations/ minute in 8 seconds? |
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Answer» Solution :Given : diameter =0.5m, Mass `=16 kg` Formula: MOMENT of inertia of solid disc `I=1/2MR^(2)` `I=1/2 MR^(2)` `=1/2xx16xx[0.5/2]^(2)` `=1/2` ANGULAR VELOCITY, `OMEGA=(120xx2pi)/60=4pi` And change in angular momentum `DeltaL=I omega-0=I omega` Angular impulse `tauxxt=DeltaL` `impliestau=(DeltaL0/l=1/8xx1/2xx4pi` `=(pi)/4Nm` |
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