g5 - Circular Uniform Motion Distinguish speed v (a scalar)...

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Unformatted text preview: Circular Uniform Motion Distinguish speed v (a scalar) from velocity vector v (a vector). Uniform motion keeps velocity constant: linear motion Uniform circular motion keeps speed constant (circular motion) c circlecopyrt L.Frommhold . p.20/14 Centripetal Acceleration Acceleration is change of velocity per change of time, vector a = vector v 2- vector v 1 t 2- t 1 = vector v t for t , but not v/ t ! Note that for small time steps t the vector vector v vector v and a c = | vector v | t v t = v 2 r because r = = v t c circlecopyrt L.Frommhold . p.19/14 Uniform Circular Motion Measure angles in radian units (rad) 360 equals 2 = 6.283. . . radians Length of the arc equals r Revolutions per time f = (1 / 2 ) ( / t ) Duration of a revolution T = 1 /f Uniform circular motion is accelerated (!) motion, even though v = const . The point is that the vector vector v changes direction all the time. Velocity vector and acceleration are at right angles. The magnitude of centripetal acceleration is given by a c = v 2 r = (2 f ) 2 r = 2 f v = 2 v T etc....
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g5 - Circular Uniform Motion Distinguish speed v (a scalar)...

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