chapter05

# chapter05 - Uniform Circular Motion Important parameters...

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1 •Uniform Circular Motion – Important parameters: radius and angle •Radial Acceleration •Banked and Unbanked Curves •Circular Orbits •Nonuniform Circular Motion •Tangential and Angular Acceleration •Artificial Gravity

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2 Here, v 0 . The direction of v is changing. If v 0, then the acceleration a 0. The net force cannot be zero F = m a 0 Consider an object moving in a circular path of radius r at constant speed V:( magnitude , direction ) const. speed = const. magnitude But: the direction is not constant x y v v v v
3 Conclusion: to move in a circular path , an object must have a nonzero net force acting on it. The velocity is changing since its Direction is changing Therefore there is an acceleration associated to it Therefore there is a nonzero net force

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4 An object is in uniform circular motion. Which of the following statements is true? A) Velocity = constant B) Speed = constant
5 The direction is changing ! The velocity is therefore changing ! Even though the speed is constant

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6 is the angular position . Angular displacement : i f Convention: angles measured Clock Wise (CW) are negative and angles measured CCW (Counter Clock Wise) are positive. is measured in radians . 2 radians = 360 =1 revolution x y i f
7 The average and instantaneous angular velocities are: t t t 0 av lim and is measured in rads/sec .

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8 A CD makes one complete revolution every tenth of a second. The angular velocity of point 4 is:
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• Velocity, FBD, total arc length

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