. The principles of physics. Fig. and curvilinear motion. 6 J-. FlG. 13. Combination of translatory and rotary motion. point one unit distant from the axis. The Greek letter m (pro-nounced o-meg-a) is chosen to represent angular velocity. Now since the linear velocity of any point in a rotating body isproportional to its distance, r, from the axis, it must be the productof the angular velocity of the body multiplied by the distance of thepoint from the axis, v — ric. It remains to develop a formula for finding the value of u in tei-msof the time of a complete rotation. It i
. The principles of physics. Fig. and curvilinear motion. 6 J-. FlG. 13. Combination of translatory and rotary motion. point one unit distant from the axis. The Greek letter m (pro-nounced o-meg-a) is chosen to represent angular velocity. Now since the linear velocity of any point in a rotating body isproportional to its distance, r, from the axis, it must be the productof the angular velocity of the body multiplied by the distance of thepoint from the axis, v — ric. It remains to develop a formula for finding the value of u in tei-msof the time of a complete rotation. It is known that the ratiobetween the circumference of a circle and its diameter^is about 3},and is usually represented by the Greek letter jr. Now if the 24 KINEMATICS. body make one rotation in T seconds, the ? angular velocity Isequal to the total angle, 2 tt radians, divided by the time, T, or oi = -p= radians per second. 1. A body makes ten rotations per second; what is its angularvelocity ? 2. What is the actual velocity of a point in this body ten inchesfrom the axis
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Keywords: ., bookcentury1800, bookdecade1890, booksubjectphysics, bookyear1895
