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...else the disk would fly apart some how...
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I like this statement. Yes if you had a material that at different distances were to be traveling at different velocities, the material would attempt to shear apart where there is a velocity gradient. Although, if you dig into many materials this may occur. There are few examples that come to mind, CDs will explode at very high RPMs due to the force of the outer extremities of the disc putting excess force on the inner portion. But then you have the wonder idea that a Navy Aircraft carrier will allow about 2.5 revolutions of twist to occur in the shaft from the motor to the prop, meaning until equilibrium is met that there will be slight differences in linear velocity along the path of the shaft.
Oh well... I felt like trying to be smart.
*cheers*