M 32% , Sat 9:53 PM a how Window Help a circular Kinematics examplesQ Insert Des

Question

M 32% , Sat 9:53 PM a how Window Help a circular Kinematics examplesQ Insert Design Transitions Animations Slide Show Review Vievw Paragraph Insert Drawing Problem # 3 The particle in problem # 2 begins to slow down with an angular acceleration of-1 rad/s. After 5 seconds, what is the centripetal acceleration and the tangential acceleration of the particle? (Answer 625 m/s2, -2.5 m/s2) Problem # 4 What is the magnitude of the total acceleration of the particle in problem # 3, after 5 seconds? (Answer: 62.55 ms2) ide 5 of Notes a Comments 86% 2017-09. . 7.33 PM 2017-08 4.26 PM

Explanation / Answer

3) from problem 3

tangential acceleration , at = r * w

at = -1 * 2.5

at = -2.5 m/s^2

w = 10 - 1 * 5 = 5 rad/s

ac = 5^2 * 2.5 = 62.5 m/s^2

centripetal acceleration , ac = 62.5 m/s^2

magnitude of the total acceleration = sqrt(at^2 + ac^2)

magnitude of the total acceleration = sqrt(2.5^2 + 62.5^2)

magnitude of the total acceleration = 62.55 m/s^2

the magnitude of the total acceleration is 62.55 m/s^2

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