INTRODUCTION TO MACHINERY PRINCIPLES:COMMON TERMS AND PRINCIPLES

COMMON TERMS AND PRINCIPLES

= angular position of an object. It is the angle at which it is oriented. It is mea- sured from one arbitrary reference point (units: rad or deg).

w = angular velocity = d /dt. It is the rate of variation of angular position with time (units: rad/s or deg/s).

fm = angular velocity, expressed in revolutions per second = wm/2’IT.

a . = angular acceleration = dw/dt. It is the rate of variation of angular velocity with time (units: rad/s2).

T = torque = (force applied) X (perpendicular distance). Units are newton-meters (N·m)

Newton’s law of rotation:

T= Ja.

where J is the moment of inertia of the rotor (units: kg·m2).

W = work = T , if T is constant (units: J).

P = power = dW/dt. It is the rate of variation of work with time (units: W):

P = Tw

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