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Chapter 1: Q62P (page 1)

What is the magnitude of the acceleration of a sprinter running at10 m/s when rounding a turn of radius 25 m?

Short Answer

Expert verified

The magnitude of the accelerationa=4.00m/s2

Step by step solution

01

Given data

The speed of the sprinter is v = 10 m/ s

The radius of the turn is r = 25 m

02

Understanding the concept

The sprinter is rounding a turn hence it has centripetal acceleration. Use the formula for the centripetal acceleration in terms of velocity and radius to calculate the acceleration.

Formulae:

The centripetal acceleration is a=v2r.

03

Calculate the magnitude of the acceleration of the sprinter

The sprinter is rounding a turn; hence it has centripetal acceleration. The centripetal acceleration of the sprinter is

a=v2r=(10m/s)225m=4.00m/s2

Therefore, the magnitude of the acceleration of the sprinter is 4.00m/s2.

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