At a certain instant, the magnitude of velocity and acceleration of a point shown below are V = 10.0 m/s and a = 46.9 m/s?. The acceleration is directed at an angle of 0 = 34.3°as shown in the figure. At this instant, find the radius of curvature of the path in meters.V m/sa m/s?-----

Answered: At a certain instant, the magnitude of…

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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At a certain instant, the magnitude of velocity and acceleration of a point shown below are V = 10.0 m/s and a = 46.9 m/s?. The acceleration is directed at an angle of 0 = 34.3°
as shown in the figure. At this instant, find the radius of curvature of the path in meters.
V m/s
a m/s?
-----

Expert Solution

Step 1 :Introduction

The diagram of the system is as shown below:

The radial acceleration is calculated by using the formula $a_{c} = \frac{v^{2}}{r}$ , where v is the linear velocity and r is the radius of the curvature .

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