    Kinematics in 2D

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B. Factors Affecting Centripetal  Acceleration 1. Velocity and Acceleration?

 ac = V2 r

**Direct Square Relationship
(Both variables on top,
one is squared)

 V a x 2 x 4 x 3 x 9 x 4 x 16 x 1/2 x1/4 x 1/4 x1/16

 ac = V2 r Inverse Relationship

 ac = V2 r

(One variable on top,
other on bottom)

 a r x 1/2 x 2 x 1/3 x 3 x 1/4 x 4 x 4 x1/4 x 2 x 1/2 C. More Word Problems

 Ex) A 2.0 kg cart travels in a horizontal circle at a constant speed of 6.0 m/s.    If the r of  circle is 3.0 m, what is centripetal acceleration?

 ac = V2 r

ac = (6.0m/s)2/3.0 m

= 12 m/s2 Challenge

Calculate the speed an earth satellite must have to maintain a circular orbit at an altitude of 2.0 x 105 m (200,000 m) where the acceleration due to gravity is 9.2 m/s2 (radius of earth is 6,400,000 m)

Challenge

Calculate the speed an earth satellite must have to maintain a circular orbit at an altitude of 2.0 x 105 m (200,000 m) where the acceleration due to gravity is 9.2 m/s2 (radius of earth is 6,400,000 m)

[ Flash ]

r = 6400,000 m + 200,000 m

= 6,600,000 m

ac = V2 /r

9.2 m/s2 =V2/(6,600,000m)

9.2 m/s2(6,600,000m) = V2

= 7,792 m/s

or 7800 m/s

(Correct significant Digits)

 What's wrong with this picture? Acceleration Vector should be directed towards center Non-uniform Circular Motion

Go Nittany Lions!!  Centripetal Force  