1. Background Story:
My question is “How many raindrops fall on a sq. km. of land in India annually”. The story behind my question is that I was thinking about rain and how so many raindrops must fall annually, nearly everywhere. Then I was thinking about monsoons and how they are like a super intense version of a rainstorm, kind of like Shaws compared to Costco. Then I thought Monsoons occur in India and India is so big, so how many raindrops might fall in India. Then I realized how big India is and how small raindrops are, now I narrowed it down because although I do want big numbers narrowing it down (I thought) would make the question more interesting and engaging.
2. Ask Yourself This:
1. How many sq. km. in India?
2. How many inches of rainfall in a year?
3. How many rain drops in one inch of rain?
3. Helpful Hints:
There are 3,287,590 sq km in India.
1,042 inches of rainfall in a year
There are 657518000 raindrops in an in inch of rain.
http://www.worldfactsandfigures.com/
http://en.wikipedia.org/wiki/Climate_of_India
http://usatoday30.usatoday.com/weather/resources/askjack/waskrain.htm
https://www.google.com/search?q=sq+km+in+indi&oq=sq+km+in+indi&aqs=chrome..69i57j0l3.6338j0&sourceid=chrome&ie=UTF-8#psj=1&q=area+of+india
http://www.wjla.co
http://wiki.answers.com/Q/37.5_ml_is_how_many_tablespoons
google search
b. I found out how many average raindrops were in an inch of rain over India by using a cup and dripping drops of water to kind of reenact rain. I found out how much water was in a cubic inch of rain (.016 liters) and then got that much water and did a few trials of dripping that into a cup and got an average of 200 drops. Then I multiplied 200 by the area of india (3,287,590km sq) to get how much would fall over the whole of India if it rained one inch. I got 657518000 raindrops as a final answer.
4. Construct a Formula: First you take the inches of rain that fell in India per year (1,042 inches) and then multiply that by the number of raindrops in an inch of rain which gives you 6.851 times 10 to the 11th. That gives you how many raindrops fall over all of India in one year now we narrow it down. Next you divide 6.851 times 10 to the 11th by the the area in sq. km. in India (3,287,590 sq.km.) which gives you 208389.732.
Messy Math:**
6. Answer: 208389.732 rain drops fall on a sq. km of land in India annually. This could be compared to approximately 67 bathtubs full of raindrops! This is only one of the 3,287,590 sq. km. in India!
ReplyDelete1. Background Story:
I picked a fermi problem that has to do with hockey. Hockey is one of the most fast pace sports in the world, it is one of the best sports to watch, and a fun sport to learn about. What intrigued me about learning this is a sports website called sports science. Sports science is a video site that tells you and teaches you about the science behind sports or just science of a certain thing about sports, like how fast a hockey puck can be shot and how you shoot a puck faster. So my question is how much energy does a hockey player generate every year from hitting someone else on the ice.
2. Ask Yourself This:
How many hits do a hockey produce in a year?
What is the most energy produced in a hit from a hockey hitting a hockey player?and who?
How much energy is produced from a hockey player hitting a hockey player in a whole year from all the hit they gave?
3. Helpful Hints:
a. List the information you know or found while researching the questions listed in #2.
Could the energy that is generated from hitting a hockey player with a hockey be enough to light a house?What is the most energy produced from hitting a hockey player with a hockey player?
ANSWER:The amount of energy produced from the collision is equal to 1114 joules. This collision produces enough energy to shoot a puck 11419 feet. The puck would initially be moving at a speed of 183 mph. The stopping force is 803 pounds. This is enough energy to light a 60 watt lightbulb for seconds. (http://www.exploratorium.edu/hockey/checking2.html)
How much energy is produced from hitting a hockey player with a hockey player in a whole year? How many hits does a hockey player produce in a year.
ANSWER: Well a hockey player gets ten good hits a game and there is about 100 games a year, So 1114 joulesx1000=1,114,000 joules. In kilowatts= 0.00030944444444kWh.
b. At least one piece of information used must be from your estimation and/or experimentation and/or modeling.
This is one;
How much energy is produced from hitting a hockey player with a hockey player in a whole year?
ANSWER: Well a hockey player gets ten good hits a game and there is about 100 games a year, So 1114 joulesx1000=1,114,000 joules. In kilowatts= 0.00030944444444kWh.(Url for the conversion of joules to kWhhttp://www.rapidtables.com/convert/energy/Joule_to_kWh.htm)
Well what I did was take how much energy a hockey player produced in one hit with another hockey player, in joules. Then I estimated how many hits and games there were in a year, and there was about ten good hits in one game and there is about 100 games in a year, so 10x100=1000 Then I multiplied 1114 joulesx1000 which equals 1,114,000 joules. Last, I turned joules into kilowatts-hours, and got 0.0003094444444 kWh.
4. Construct a Formula:
Well what you would have to do is find the joules of the energy produce in one hit. Then find the games played in a year, then the hits in a game then multiplye them for the hits in a year.
JOULES GAMES HITS
-------------X-----------X--------X
1HIT 1YEAR GAME
5. Messy Math:
1114J 100G 10hit 1,114,000joule
------------X-----------X---------X -------------------
1H 1Y 1g 1Y
6. Answer:
The answer is 1,114,000 joules or .0003094444444kWh of energy for 1000 hits from and hockey player hitting a hockey player. A hockey player generates about .0003094444444 kWh of energy a year from hitting another hockey player, Or 3.094444444x10^3 kWh. Well 8,460,000 joules can light a 100 WATT light bulb for 24HRS. So sense 3.094444444x10^3kWh equals 1,114,000 JOULES, then 1,114,000 joules can light a light bulb for about 5 hours.