5circular_FA10

5circular_FA10 - Circular Motion 1 revolution = 2π radians...

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1 Circular Motion 1 2 1 revolution = 2 π radians = 360 0 Linear Speed (m/s) = angular speed (rad/s)× distance (m) 3 rpm = revolution per minute Angular speed (in radians/ seconds) = v/r 4 Angular speed (in rpm) = rpm 2 60 π × r v
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2 RMP versus Period (T) rpm = revolutions per minutes = number of revolutions in 60 seconds Period (T) = Time for one revolution = (1/rpm)* 60 s 5 Example: Angular speed is = 2500 rpm, what is period (T)? 2550 revs. in 1min 1 rev in (1/2500)min 1 rev in [(1/2500)*60]s = 0.024s Period T= 0.024s. Circular Motion Uniform circular motion is the motion of an object traveling at a constant (uniform) speed on a circular path. Speed is constant (velocity and acceleration are not constant) θ r x v r a r 6 () v r T π 2 speed distance = = r v a 2 = Magnitude of acceleration: Period = time per revolution: Direction of velocity is tangent to circle (always changing) Direction of acceleration is toward center of circle: “centripetal” (always changing)
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This note was uploaded on 11/22/2010 for the course PHYS 1146 taught by Professor Balasubramamaheswaran during the Spring '10 term at Northeastern.

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5circular_FA10 - Circular Motion 1 revolution = 2π radians...

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