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A runner taking part in the 200 m dash must run around the

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 11PE Chapter 6

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 11PE

A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 30 m. If he completes the 200 m dash in 23.2 s and runs at constant speed throughout the race, what is the magnitude of his centripetal acceleration as he runs the curved portion of the track?

Step-by-Step Solution:

Solution to 11PE

Step 1 of 3</p>

We are asked to calculate the magnitude centripetal acceleration of a runner who is running a 200m distance on a circular track of radius 30m in 23.2s. His speed is constant throughout the race. Thus, the speed of the runner will remain constant in the circular track as well.

We have to use the concept of circular motion to find the acceleration.

Step 2 of 3</p>

We know that the centripetal force is directly proportional to the product of mass and square of velocity and inversely proportional to the radius.

............................. (1)

According to the Newton’s second law of motion,

......................................................... (2)

 is the force on a body

 is the mass of the body

 is the acceleration of the body.

Equating both the equations,

........................................(3)

Step 3 of 3

Chapter 6, Problem 11PE is Solved
Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

This textbook survival guide was created for the textbook: College Physics , edition: 1. The full step-by-step solution to problem: 11PE from chapter: 6 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. This full solution covers the following key subjects: track, runs, dash, must, circular. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. Since the solution to 11PE from 6 chapter was answered, more than 1961 students have viewed the full step-by-step answer. College Physics was written by and is associated to the ISBN: 9781938168000. The answer to “A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 30 m. If he completes the 200 m dash in 23.2 s and runs at constant speed throughout the race, what is the magnitude of his centripetal acceleration as he runs the curved portion of the track?” is broken down into a number of easy to follow steps, and 65 words.

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