angular displacement

Mar 2009
15
0
New Jersey
Problem:
[FONT=&quot] [/FONT]The ball in a computer mouse is 2.0 cm in diameter. If you move the mouse 12 cm what is the angular displacement of the ball?

Need help for HW.(Speechless)
 

physicsquest

PHF Helper
Feb 2009
1,426
474
The distance divided by the circumference gives the number of revolutions needed to cover that distance. One revolution corresponds to an angular displacement of 2 pi radians. So calculate for the no of revs found as above.
 
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Mar 2009
15
0
New Jersey
How many revolutions?
 

physicsquest

PHF Helper
Feb 2009
1,426
474
When the mouse moves by 12 cm, the ball revolves

(12 / 2 pi x 1 ) times

where 1 = ball radius. One revolution corresponds to 2 pi radians , so the angular displacement is

( 12 / 2pi) x 2 pi = 12 radians.
 
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