M , 9%D Sat 10:42 PM a E Circular Kinematics examples Insert Design Transitions

Question

M , 9%D Sat 10:42 PM a E Circular Kinematics examples Insert Design Transitions Animations Slide Show Review View :-AS 11A, Paragraph nsert Drawing Problem # 5 A particle is moving around in a circle of radius R-1.5 m with a constant speed of 2 m/s. What is the centripetal acceleration and angular velocity of the particle? (Answer: 2.67 m/s2, 1.33 rad s) Problem # 6 The particle in problem # 5 begins to accelerate tangentially at 3 ml What is the speed of the particle at this instant and what is the magnitude of the total acceleration of the particle at this instant? (Answer: 2 m/s, 4.014 m/s) +86% 88 Screen Shot Notes Comments Screen Shot 2017-09 7.33 PM 2017-08. 4.26 PM 4) F10 F12 F8

Explanation / Answer

a) v = 2m/s

r =1.5

ac= v^2/ r= 2^2/ 1.5=2.67 m/s^2

w= v/r=2/1.5=1.33 rad/sec

b)v = 2 m/s

a= sqroot ( ac^2 + at^2) = sqroot ( 2.67^2 + 3^2) =4.016 m/s^2

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