Friday, August 19, 2011

How to Drink Coffee Properly

Coffee, being the best drink known to humanity (yes better than Grape Kool-Aid), deserves respect. Too many people have defiled the drink and I intend to put a stop to this! Here's how you properly drink coffee.

Cup Selection
One of the most fundamental aspects of coffee drinking is what cup you're drinking it out of. Sometimes you're forced to drink out of one of these, "The Adult Sippy Cup":
Who wants to be touching their lips to plastic while they're drinking. All coffee shops should have the option of non-disposable cups for the in-shop drinkers. I'll tolerate a sippy cup if I can't drink it in the shop, but it's absolutely repulsive to use one of these inside a coffee shop. What's even worse is when people buy these:

ECO CUP...right.

Styrofoam cups are almost as bad. 
At least they aren't sippy cups.

No, you should choose a special, non-plastic/non-styrofoam, coffee cup that makes you feel all warm and fuzzy inside. Like this one:

This is my favorite coffee cup I've ever owned, but I tragically broke it a month ago. I've converted to my second favorite cup I've ever owned, which is a NASCAR "Number One Grandpa" cup that the little girl I live with gave to me for a Christmas gift. What could make you feel more warm and fuzzy than a rooster or being called a grandpa by a first grader.

Creamy, Sugary, Syrup flavored with coffee.
The coffee snobs will tell you that cream and sugar hide the taste of the coffee. I say, "Who cares? Drink whatever tastes good." I think a healthy dose of cream with no sugar is the most tasty version of coffee, but I won't judge you for putting sugar in it. I will judge you if you judge people for putting cream and or sugar in their coffee though. I've plotted Cheerfulness of The Coffee Drinker as a function of cream and sugar amounts:

People who put tons of sugar in their coffee are the people who just have to have the sugar to down the caffeine. These people are not particularly cheerful. They're just lacking energy. The black hole of coffee snobs has been studied for quite some time. It seems that whenever somebody enters that region, they not only have zero cheerfulness, but they also suck the cheerfulness out of anybody who chooses to put cream or sugar in their coffee. Maximum cheerfulness from coffee drinking can be found at the healthy dose of cream and no sugar. A recent study even shows that bitter taste preferences are linked to malevolent personality traits," particularly "everyday sadism and psychopathy."

Methods of Drinking

Here is a short list of rules:

  1. Do not drink hot coffee when your drinking location is hot and do not drink cold coffee when it's cold at your drinking location.
  2. Drink slowly but not so slow that the coffee gets lukewarm. Lukewarm coffee is okay, but not ideal.
  3. Only take enough coffee from the pot that you can drink before it cools. Let the coffee stay warm in the pot.
  4. Do not place your hand around the mug unless it is particularly cold in your drinking location and you need a hand warmer. That will cool the coffee too fast. Use the handle.
  5. Handle your coffee with care when you are walking. They may say, "Don't cry over spilt milk," but the other people say, "You should definitely cry over spilt coffee."

Tuesday, August 16, 2011

How to Ride Your Bike to Work Faster

When I ride my bike to work I really don't think very much. I just turn on the NPR Jazz radio station and try to enjoy the ride. I'll occasionally think about my pace and try to get a good average speed. I was trying to think about how high speeds and low speeds affect my average speed. It was messing with my mind and I couldn't really wrap my mind around exactly how it worked. Back when the Tour de France was happening I was thinking about this too. Nobody is ever very interested in flat stages because the important attacks always happen in the mountains. Why was that? What is it about steep hills that makes the difference in the race?

Finally, I sat down a few days ago and calculated it. I took a nice triangular hill.

The rider goes up the hill at 5mph and down the hill at 30mph. At first glance, it would be tempting to say that the average speed at the end of this 10 mile ride is 17.5mph. 

Well that is correct in one sense but absolutely wrong in the sense that anybody cares about. 17.5mph is the correct average if you are taking a "distance average" Measuring the speed at every position along the way, you would get half the data points saying 5mph and half saying 30mph.

The distance-averaged speed is 17.5mph in this case. Unfortunately, I can't think of a single application for this kind of average. Nobody cares what the distance-average speed is. Everybody cares about what the "time-averaged" speed is. That's the one that tells you how fast you get to the finish line. That is the one that is 

Here we go. The time it takes to go the first half is t1=d1/v1 and the time it takes to go the second half is t2=d2/v2.

That's much more complicated than the distance average. So that means that if you went up the hill at 5mph and down the hill at 30mph, then your average speed would be 8.57mph, which is just a bit more than the uphill speed. I think that this is really annoying. I'd much rather have my average speed be faster than that. So what's the best way to improve your average speed on a hill like this? This graph might help. The colors (from purple to white) represent the average speed at the end of the ride. Purple is the lowest average speed and white is the maximum average speed. 

I've put a point that corresponds to an uphill speed of 5mph and a downhill speed of 30mph like we've been talking about. In order to increase your average speed, you could increase your downhill speed by 4mph or increase your uphill speed by 4mph. I've represented these two choices by the arrows that go out from the point. If you increase your uphill speed by 4mph (vertical arrow), then you cross over lots of contour lines and your average speed is significantly better than before--13.85mph. If you take the other choice and increase your downhill speed by 4mph (horizontal arrow), then you barely improve your average speed at all. The arrow doesn't even make it to the next contour line. This choice would give you a very slight improvement in average speed--8.72mph. Remember the original average speed was 8.57mph!

Hopefully this all makes sense. It basically shows that your uphill speed more important than your downhill speed. You can make a significant difference by making a small change in uphill speed. So now it makes sense why the mountain stages of the Tour are the most important. If you can just make a slight improvement in speed over the rest of the field, it will pay off significantly and if somebody has a less than average day on the mountains, it will hurt them horribly. 

This should also prove to you that if you are running late to work on your bike, you should push really hard on the uphills and take it super easy on the downhills. The downhills will make very little difference in the time it takes you to get to work.