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Rotational Motion Angular Measure (radian) Angular Speed and velocity Centripetal Acceleration Centripetal Force Angular Acceleration

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Angular measure y x r y x x=r cos( ) y=r sin( )

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Angular measure y x r x = 2 radians = 360° s s r radians 1.0 radian = 57.3°

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How far to the moon? Early Greek scientists estimated that the earths diameter is 3.5 times larger than the moons. If a penny covers up the moon when held 200 cm from your eye, How far is the moon from Earth? (the diameter of a penny is 1.9 cm)

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Small angles r h s h s & r x Sin tan h/r s/r h/x x

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Angular speed and velocity Average angular speed

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Linear speed and angular speed r h s x

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Linear speed and angular speed r h s Sin tan h/r s/r h/x x

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Angular acceleration

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Circular Motion (with constant

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Circular Motion (constant

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Kinetic Energy

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d

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Torque

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a=? T=?

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a=? T=? F=ma mg-T=ma = I TR = 1 / 2 MR 2 ( a / R ) T= 1 / 2 M a mg-T=ma mg- 1 / 2 M a=ma mg= 1 / 2 M a+ma mg= ( 1 / 2 M +m)a mg ( 1 / 2 M +m) T= 1 / 2 M a a =

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Work and Power

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