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The Earth, Its Motions and Time

Geography · WAEC and JAMB · SS2 and SS3

This topic supplies the calculation questions in Geography Paper 1 and a steady structured question on seasons, time zones or eclipses in Paper 2. The arithmetic is small, so examiners pay for accuracy and for the direction of the adjustment, not for cleverness.

What you need to know

  • The earth is an oblate spheroid: a sphere flattened at the poles and bulging at the equator. Evidence includes circumnavigation, a ship disappearing hull first over the horizon, the circular shadow the earth casts on the moon during a lunar eclipse, the fact that sunrise reaches eastern places before western ones, and satellite photographs.
  • Lines of latitude are parallels running east to west, numbered 0 degrees at the equator to 90 degrees at each pole. They are true circles of decreasing size towards the poles, they never meet, and one degree of latitude is roughly 111 km everywhere on the globe.
  • Key parallels are the equator at 0 degrees, the Tropic of Cancer at 23 and a half degrees north, the Tropic of Capricorn at 23 and a half degrees south, the Arctic Circle at 66 and a half degrees north and the Antarctic Circle at 66 and a half degrees south.
  • Lines of longitude, or meridians, run from pole to pole, numbered 0 degrees at Greenwich to 180 degrees east and west. Unlike parallels they are all the same length, they converge at the poles, and the distance between them shrinks from about 111 km at the equator to zero at the poles.
  • Rotation is the spin of the earth on its own axis from west to east, completed once in 24 hours. It causes day and night, the apparent east to west movement of the sun, the difference in time between meridians, the deflection of winds and ocean currents, and the daily rhythm of tides.
  • Revolution is the movement of the earth round the sun in an elliptical orbit, completed in 365 and a quarter days. Because the axis is tilted at 23 and a half degrees from the vertical, or 66 and a half degrees to the plane of the orbit, and because that tilt stays pointing the same way all year, different hemispheres lean towards the sun at different times. That is what produces the seasons.
  • On 21 March and 23 September the sun is overhead at the equator, day and night are equal everywhere, and these are the equinoxes. On 21 June the sun is overhead at the Tropic of Cancer, giving summer in the northern hemisphere, and on 22 December it is overhead at the Tropic of Capricorn, giving summer in the southern hemisphere. These are the solstices.
  • Because the earth turns 360 degrees in 24 hours, it turns 15 degrees in one hour and 1 degree in 4 minutes. Places east of you see the sun earlier, so their time is ahead; places west of you are behind. East add, west subtract.
  • Local or sun time is the time at a particular meridian, and it changes with every degree of longitude. Standard time is the single time adopted by a whole country or zone, usually based on a convenient central meridian. Nigeria uses the 15 degrees east meridian, so Nigerian standard time is GMT plus one hour.
  • The International Date Line roughly follows the 180 degree meridian but zigzags to keep island groups and countries on the same date. Crossing it travelling westward you add one day; crossing it travelling eastward you subtract one day.
  • A solar eclipse happens when the moon comes between the sun and the earth and throws its shadow on the earth, and it can only occur at new moon. The dark inner shadow is the umbra, where the eclipse is total, and the lighter outer shadow is the penumbra, where it is partial.
  • A lunar eclipse happens when the earth comes between the sun and the moon so that the earth's shadow falls on the moon, and it can only occur at full moon. A lunar eclipse lasts longer and is seen from a much larger part of the earth than a solar eclipse.
  • Day length varies with latitude and season: at the equator day and night stay close to 12 hours all year, while beyond the Arctic and Antarctic Circles there are periods of continuous daylight and continuous darkness. Nigeria, lying between about 4 degrees and 14 degrees north, has only a small variation in day length through the year.

Key terms

Rotation
The spinning of the earth on its own axis from west to east, completed once every 24 hours.
Revolution
The movement of the earth round the sun in an elliptical orbit, completed once every 365 and a quarter days.
Equinox
A day on which the sun is overhead at the equator and day and night are of equal length everywhere, occurring on 21 March and 23 September.
Solstice
A day on which the sun is overhead at one of the tropics, giving the longest day in one hemisphere and the shortest in the other, on 21 June and 22 December.
Greenwich Mean Time
The local time at the Greenwich meridian, 0 degrees longitude, used as the world reference for all other time zones.
International Date Line
The line approximately along the 180 degree meridian where the calendar date changes by one day.
Umbra
The dark inner cone of a shadow during an eclipse, within which the light source is completely blocked.

Formulae

  • 360 degrees of longitude = 24 hours, so 15 degrees = 1 hour and 1 degree = 4 minutes
  • Time difference in minutes = longitude difference in degrees x 4
  • Longitudes on the same side of Greenwich: subtract the smaller from the larger. Longitudes on opposite sides: add them
  • Going east of a place, add the time difference; going west of a place, subtract it

Worked examples

When the local time at Lagos on longitude 3 degrees east is 12:00 noon, what is the local time at a town on longitude 45 degrees east?

  1. Both longitudes are east of Greenwich, so subtract: 45 - 3 = 42 degrees.
  2. Convert to time: 42 x 4 minutes = 168 minutes = 2 hours 48 minutes.
  3. The town is east of Lagos, so it is ahead. Add: 12:00 noon + 2 hours 48 minutes.

An aircraft leaves Abuja on longitude 7 degrees east at 8:00 a.m. local time and flies for 5 hours to a city on longitude 75 degrees west. What is the local time at the city when the aircraft lands?

  1. The longitudes are on opposite sides of Greenwich, so add: 7 + 75 = 82 degrees.
  2. Convert to time: 82 x 4 minutes = 328 minutes = 5 hours 28 minutes.
  3. The city is west of Abuja, so it is behind. Local time in the city at take-off = 8:00 a.m. - 5 hours 28 minutes = 2:32 a.m.
  4. Add the 5 hour flight: 2:32 a.m. + 5 hours = 7:32 a.m.

The mistake to avoid

The arithmetic is almost never the problem; the direction is. Candidates correctly find a difference of 2 hours 48 minutes and then subtract it when they should have added, because they did not first ask which place lies further east. Write east add, west subtract at the top of your rough work before you touch the figures, and remember to add the two longitudes, not subtract them, when one is east and the other west.

In the exam

Set the calculation out in three labelled lines: longitude difference, time difference, then the adjustment with its direction stated in words. WAEC gives marks for each stage, so a candidate with the wrong final time still collects two of three marks if the working is shown. For seasons and eclipses, a clean labelled diagram with the sun, the earth and the direction of the tilt earns marks that prose alone will not.