13.8 A particle moves along a plane curve from a point O to a point B. The path length between O and B is 2 m. The tangential component of the acceleration is a, = 0.05s m/s², where s is the path coordinate, measured in m from point O. The speed of the particle at O is 2 m/s, and the radius of curvature of the path at B is 3 m. Determine the magnitude of the acceleration of the particle at B.

13.8 A particle moves along a plane curve from a point O to a point B. The path length between O and B is 2 m. The tangential component of the acceleration is a, = 0.05s m/s², where s is the path coordinate, measured in m from point O. The speed of the particle at O is 2 m/s, and the radius of curvature of the path at B is 3 m. Determine the magnitude of the acceleration of the particle at B.

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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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

13.8 A particle moves along a plane curve from a point O to a point B. The path
length between O and B is 2 m. The tangential component of the acceleration is
a, = 0.05s m/s², where s is the path coordinate, measured in m from point O. The
speed of the particle at O is 2 m/s, and the radius of curvature of the path at B is
3 m. Determine the magnitude of the acceleration of the particle at B.

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