Answered: A sprinter participating in the 200 m…

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

A sprinter participating in the 200 m dash has to run around a track that has a circular arc with a radius of curvature of 26 m. She completes the 200 m dash in 22.8 seconds at constant speed throughout the race.

a) What is the magnitude of her centripetal acceleration in m/s² as she runs the curved portion of the track?

b) What is the magnitude of her tangential acceleration in m/s² as she runs the curved portion of the track?

c) What is the magnitude of her angular acceleration in rad/s² as she runs the curved portion of the track?

d) What is the magnitude of her resultant linear acceleration in m/s² as she runs the curved portion of the track?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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