Intro
I am trying to post a science/physics question of varying difficulty each week for this year.
The Rules are:
Answers must be complete, and each statement must be sound/logical.
The better the answer, then the more points awarded. Answers can always be updated at anytime as
we learn something new everyday.
The greater the difficulty, the greater the points. I will give an answer at end of week. Repeating my
answer awards no points, you will have to come with a better or alternate answer.
Given:
https://en.wikipedia.org/wiki/Tropic_of_Cancer
https://en.wikipedia.org/wiki/Summer_solsticeThe Tropic of Cancer, which is also referred to as the Northern Tropic, is the most northerly circle of latitude on Earth at which the Sun can be directly overhead. This occurs on the June solstice, when the Northern Hemisphere is tilted toward the Sun to its maximum extent. It also reaches 90 degrees below the horizon at solar midnight on the December Solstice. Using a continuously updated formula, the circle is currently 23°26′11.1″ (or 23.43642°) north of the Equator.
Earth's Equatorial Radius = 6378kmThe summer solstice, also known as estival solstice or midsummer, occurs when one of Earth's poles has its maximum tilt toward the Sun. It happens twice yearly, once in each hemisphere (Northern and Southern). For that hemisphere, the summer solstice is when the Sun reaches its highest position in the sky (for areas outside of the tropics) and is the day with the longest period of daylight. Within the Arctic circle (for the northern hemisphere) or Antarctic circle (for the southern hemisphere), there is continuous daylight around the summer solstice. On the summer solstice, Earth's maximum axial tilt toward the Sun is 23.44°. Likewise, the Sun's declination from the celestial equator is 23.44°.
The summer solstice occurs during summer. This is the June solstice in the Northern Hemisphere and the December solstice in the Southern Hemisphere. Depending on the shift of the calendar, the summer solstice occurs sometime between June 20 and June 22 in the Northern Hemisphere and between December 20 and December 23 in the Southern Hemisphere. The same dates in the opposite hemisphere are referred to as the winter solstice.
Earth's Polar Radius = 6357km
Latitude of Jamaica = 18.1° N
Latitude of the Great Pyramid of Gaza = 29.9792° N
Define a hottest day of a place as: the day in which at noon the sun is at its most center in sky.
You may assume that the orbit of the earth is circular for ease of calculations. (The orbit is not perfectly circular)
Question
a) How many hottest day(s) does Jamaica have each year?
b) When is/are the hottest day(s) of Jamaica within ∓ 3 days [Show explanation or calculation]?
(2 Points)
Hint 1: Not all information given is needed
Hint 2: This is an approximation question. Maths is not intended to be hard.
https://worldmapwithcountries.net/20...r-and-tropics/
Difficulty
A-Level Geography
A-Level Mathematics
Just a side note showing of how much of Africa is in the tropics i.e Cancer to Capricorn.
https://en.wikipedia.org/wiki/Africa...rojection).svg
Site share of the week
StarTalk - YouTube
https://www.youtube.com/channel/UCqo...PjEUFcF2FklnBA