# math

posted by alice

body of mass 7 kg moves in a (counterclockwise) circular path of radius 4 meters, making one revolution every 13 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.

how do you find the centripetal force acting on the body

how do you find the magnitude of the force??

1. Damon

centripetal acceleration = Ac = v^2/R = w^2 R
where w (omega) is the angular velocity in radians/second

here w = 2 pi radians/13 seconds
so
w^2 R = (4 pi^2/169) 4
then F = m a = 7 (4 pi^2/169) 4

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