s://edugen.wileyplus.com/edugen/student/mainfr.uni ent NEXT Chapter 0S, Problem

Question

s://edugen.wileyplus.com/edugen/student/mainfr.uni ent NEXT Chapter 0S, Problem 12 rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a 8 x 10° m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 11.0 ° north of the The earth equator units Units Units Units Inc, All Rights Reserved. A Division of John Wiley &SonsIns; (a) v- (a)v. Version 4.24.1.23 ugen/shared /assignment/test/aglist.unind-a 24

Explanation / Answer

At the equator a person travels in a circle whose radius equals the radius of the earth

v = 2pi*R/T

T = 1 dat = 86400 s

R = radius of earth = 6.38 * 10^6 m

v = 463.7 m/s^2 = 464 m/s

ac = v^2/R = 3.37 x 10^-2 m/s^2

part b )

At 11 degree latitude a person travels in a circle of radius

R = R*cos11 = 6.26 x 10^6 m

v = 2pi*R/T

v = 455 m/s

a = v^2/R = 3.3 x 10^-2 m/s^2

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