Answered: An amusement park ride rotates around a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt² – ct³ where a = 1.9 rad, b = 0.75 rad/s² and c = 0.025 rad/s³.

Randomized Variables

a = 1.9 rad
b = 0.75 rad/s²
c = 0.025 rad/s³

^{1) Determine an equation for the angular speed of the ride as a function of time, ω(t). Write your answer using the symbols a, b, and c, instead of their numerical values.}

^{2)Besides at t = 0, at what time t₁ is the ride stopped? Give your answer in seconds.}

^{3) What is the magnitude of the angular displacement of the ride in radians between times t = 0 and t = t₁?}

Definition Definition Angle at which a point rotates around a specific axis or center in a given direction. Angular displacement is a vector quantity and has both magnitude and direction. The angle built by an object from its rest point to endpoint created by rotational motion is known as angular displacement. Angular displacement is denoted by θ, and the S.I. unit of angular displacement is radian or rad.

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