The essentials of gearing; a text book for students and for self-instruction, containing numerous problems and practical formulas . It maybe expressed as follows : 1. Number of revolutions per unit of time; as 120 rev. per n 2. Number of degrees per unit of time ; as 720° per sec. 3. Number of radians per unit of time ; as radians per values are the same for all points in a revolving radian is a unit for angular measure. It is an arc of linear measure equal to the radius, and subtends °, hence there are 2 tt radians in 360°. A rotating body making N revolutions per
The essentials of gearing; a text book for students and for self-instruction, containing numerous problems and practical formulas . It maybe expressed as follows : 1. Number of revolutions per unit of time; as 120 rev. per n 2. Number of degrees per unit of time ; as 720° per sec. 3. Number of radians per unit of time ; as radians per values are the same for all points in a revolving radian is a unit for angular measure. It is an arc of linear measure equal to the radius, and subtends °, hence there are 2 tt radians in 360°. A rotating body making N revolutions per unit of time has an angular velocity (co) of 2 7rN radians. This , , linear velocitv IrrrH v vIS equal to. = - = - = «, LINEAR VELOCITY OF A Fig:. I. radius r V and I being the linear velocities of points at ;• and r radial distance from the center of rotation. Since co is the same for all values of r. it is equal to - and, therefore, numerically equal to the linear velocity of a point at unit distance from the center. If the scale of velocities in Fig. I be 100 ft. per minute per inch, the number of radians will be - = ^^ = and the number of revolutions per minute would be — = = .<o ? 2-77 Example. A disk 60 diameter makes 300 revolutions per minute, (a) What is its angular velocity ? (J) What is the linear velocity of a point in its circumference ? SoLUTiox. (a) tfj = 2 ttN = x 300 = 188-4 radians per minute. (6) i = &)r=1884 x 2| = 4710 ft. per minute. IXTKODUCTIOX. XI IV. Instantaneous Center, or Centro. All bodies in motion may be considered as rotatingabout some axis which can be determined for any instant of time. This axis is called theinstantaessentialsgearing00anth
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