A large grinding wheel in the shape of a solid cylinder of radius 0.330 m...

fertilizeki

fertilizeki

Answered

2021-12-24

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 0.940 rad/s. What is the mass of the wheel?

Answer & Explanation

Travis Hicks

Travis Hicks

Expert

2021-12-25Added 29 answers

The information below pertains to solid cylinder wheels rotating on a vertical axis without any friction.
α=0.94rads2 
F=250 N 
r=0.33 m 
Torque is given by: 
τ=Fr=Iα 
Addressing the issue of moment of inertia
I=Frα=2500.330.94=87.8 
Inertia moment is determined by:
I=12mr2 
Solving it for mass: 
m=2Ir2=287.80.332=1612.5 kg

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