Editing ModellingSunriseAndSunsetTimes
You are currently not logged in.
To change this, fill in the following fields:
Username
Password
Who can read this page?
The World
Members
Council
Admin
You have been granted an edit lock on this page
until Sat Apr 20 09:14:44 2024.
Press
to finish editing.
Who can edit this page?
World editing disabled
Members
Council
Admin
!! Modelling Sunrise and Sunset Times The graphs of the sunrise and sunset times in London (U.K.) throughout the year are shown below: IMG:SunriseTime.gif IMG:SunsetTime.gif Can you explain the kinks in the curve? Accurate data for various locations can be found at http://www.timeanddate.com/worldclock/sunrise.html By making a simple adjustment, the sunrise and sunset times for London (U.K.) (without kinks !!!) can be modelled using the sine function. Consider the sine function: EQN:f(x)={a}\sin(bx+c)+d The project is to choose the values of the coefficients !/ a, b, c !/ and /d/ to best model the annual cycle of sunrise (or sunset) times in London (U.K.). ---- Hints: * On what dates are the vernal equinox and autumnal equinox? * On what dates are summer solstice and winter solstice? * Consider how the graph changes for Peterborough (U.K.) a city 75 miles North of London (U.K.) * Find the functions that best models the sunrise and sunset times at Peterborough (UK). * Consider how the graph changes for Bristol (U.K.), a city 107 miles West of London (U.K.) * By looking at the data, test your predictions. * Investigate how change of latitude alters the graph of the sunrise and sunset times. * Investigate how change of longitude alters the graph of the sunrise and sunset times. ---- This is one of the many Enrichment tasks on this site.