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lecture1

# lecture1 - Chapter 10 Rotational Motion ergy from Sun is...

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Chapter 10 Rotational Motion

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Energy from Sun is only and only 1% of energy from renewable sources.  What is the percent of energy  used in US that comes from Sun?    A  0.06%    B  6% C  3.6% D  25%         E  75%
What is the value of the angle AOB?       A    21.60 0 B    60 0 C    3.60 0 D    250 0 E    45 0

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Ceramic tiles have a shape shown.  A single tile has the length of 17, and two tiles have  the total length of 29.  Find the length of “a” (six tiles) A   102         B   87      C   77     D   93      E   58
The Radian The radian is a unit  of angular measure The radian can be  defined as the arc  length s along a  circle divided by the  radius r   s r θ =

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More About Radians Comparing degrees and radians Converting from degrees to radians ° = π ° = 3 . 57 2 360 rad 1 ] rees [deg 180 ] rad [ θ ° π = θ
Angular Displacement Axis of rotation is  the center of the  disk Need a fixed  reference line During time t, the  reference line  moves through  angle  θ

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Rigid Body Every point on the object undergoes circular  motion about the point O All parts of the object of the body rotate  through the same angle during the same time The object is considered to be a  rigid body This means that each part of the body is fixed in  position relative to all other parts of the body
Angular Displacement, cont. The  angular displacement  is defined as the  angle the object rotates through during some  time interval   The unit of angular displacement is the radian Each point on the object undergoes the same  angular displacement f i θ θ θ = -

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Average Angular Speed The average angular  speed,  , of a  ω rotating rigid object  is the ratio of the  angular  displacement to the  time interval f i av f i t t t θ θ θ ϖ - = = -
Angular Speed, cont.

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