...have therefore As = rA0, whence = r ? , and finally D<s = rVfl; (3) that is, the speed of any point of a body rotating about a fixed axis is the product of the distance of (he point from the axis and the angular speed of the body. A similar law holds for tangential...

...figure, then s = гв, and v = Dts = rDte. Therefore v = rw. That is, the tangential velocity of a point of a body rotating about a fixed axis is the product of its angular velocity by its distance from the fixed axis. 80. Velocity of Any Change of State. Thus...

...The angular momentum, or moment of momentum, as it is sometimes called, of a body rotating about an axis is the product of the moment of inertia and the angular velocity. Change of angular momentum may be due either to a change in the moment of inertia or in the...

...one can arrive at Lz=Izmz- (1.3.44) That is, the angular momentum of a body relative to a motionless axis is the product of the moment of inertia and the angular velocity of a body's rotation relative to the same axis. (This definition according to its "structure"...

...shown in figure 1 (p. 6), with dimensions 1=9 feet, h = 15 feet, and M = 1500 pounds. The torque then is the product of the moment of inertia and the angular acceleration a, which is that acceleration necessary to change the angular velocity of the pover| system by 0.31xlO"3...