Ed’s bike has 26” tires, if he rides the bike for 900 ft, how many revolutions did the tires make?

How to solve a geometry word problem about circles and circumference.
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[@martinhoffmann9733]

Hello! This task is more complicated. First of all, you base the size of a tire on the rim size. Then you have to know what the tire's outer circumference or diameter is. A tire with the dimension 26"x7/8" is 75.6" in circumference while a tire with the dimension 26"x3.00" is 85.43" in circumference. There are sixteen standardized individual tire sizes for the 26" rim size. This means that the number of revolutions at 900ft varies between 142.85 revs to 126.4 revs depending on which tire you have. Riding a bike on a rim is not recommended. It becomes difficult to steer , braking and handling. When you end up falling it is not good for your health. In the end even the air pressure in the tire under load affects the number of revolutions at 900ft.

[@johnnycrow2407]

The 26” is for the sake of the math problem, don’t need to be so technical about the actual diameter of different tires. He should of just said “a wheel diameter of 26 inches “. Relax and enjoy solving the problem

[@trillyosx]

Your answer is close, but it's not actually correct. The correct answer is 132.22 reveloutions. It's probably just rounding errors. I did it all in inches and used a much longer value for pi

[@Vipre-]

It's because he converted the tire diameter to feet instead of the distance to inches. The larger the unit used, the larger the error from rounding.

[@stuartyoung5728]

Approximately 132.22 revolutions

[@netcowboy007]

Love your channel. Was never great at math in school. Always struggled. I use your problems as a fun way to inspire my colleagues at work to think and collaborate each week by email and I call it math Monday.

[@user-or6so1vs5d]

Have you allowed for the outside or inside diameter of the tyre? A 26” wheel rim will measure approx 30” across the outside of the tyre

[@KW-gb9cd]

Actually, they made no revolutions because they were quite happy with the current state of things and had no wish to make any trouble.

[@LudwigSpiegel]

Lol

[@davidknight4874]

😆

[@gnobledan]

When you always truncate your results, stop calling it rounding.

[@BlackhawkPilot]

It is the rim that is 26”. The tire is really about 28+” in diameter. This critical when programming a bicycle computer.

[@mitsunam7001]

Ed's bike has 26 tires and now I'm tired from trying.

[@68kenb]

Got your answer at first but then assumed that if each wheel turns 132.7 times the total revolutions are 265.4. Does this make sense to anyone else?

[@russelllomando8460]

got it, thanks

[@alwayslearningthankyou2708]

132.22

[@kennethwright870]

Assuming the the wheels actually have a diameter of 26”, then circumference: 26”*pi = approx 81.68” Distance travelled in “: 900ft * 12”/ft = 10800”. Rotations per wheel: 10800”/approx 81.68” = approx 132.22 times Total rotations: 2 wheels * approx 132.22 = approx 264.44 rotations

[@jhferu]

The correct answer is approximately 260 revolutions. Approximately 130 revolutions per tyre. The question asked how many revolutions did the tyres make, not how many revolutions did each tyre make. The can only be approximate because bicycle tyres are pneumatic and the diameter (especially the rear tyre) will change when Ed sits on the bike. This is assuming Ed doesn't skid or pull a manual or jump.

[@michaelfoster821]

Was the tire or the wheel a 26 diameter it has a direct bering on the correct answer.

[@billhawkesworth990]

A little more spice to the quiz .....1st answer was 132.16 then looked at it and cacame up with 114.65 . OD

[@Vipre-]

Nice twist, 26" inch would in reality refer to the rim diameter not the tire's outer.

[@billhawkesworth990]

@Vipre- it made my old mind think and that is why we watch 😊

[@ItsVideos]

You also have to consider the tire inflation pressure.

[@kentmahan9391]

The tire measurement (26”) has two significant figures and the distance (900 ft) has three. Technically the answer should be expressed in two significant figures but I will give you three using a value of pi beyond 3.14 does give a more “accurate”. Best answer is probably 132 ft. I would probably dock a student a couple of points for not expressing the correct number of significant figures and units in the answer

[@AFmedic]

Out of curiosity....when did they stop teaching about "rounding numbers"? I notice that in your videos that you never round numbers? For example, when converting dia. to ft. in this problem (which is 2.166667) you gave the answer of 2.16 instead of 2.17. I'm 73 and enjoy doing the problems first and then watch the video to see if I still remember my math from decades ago. If we ignore the discrepancy between your answers and mine due to me rounding and you not - I'm batting 100%. Not bad for an Old Geezer who hasn't been in school for 1/2 a century and still prefer using my Slide Rule than a Calculator. LOL

[@LJMLJM740]

Just putting pi as a value when some might not know it. Reading other comments everyone is putting pi x 26" = 81.68 but nobody has put the actual value for people who might not know it. Diameter X pi (3.14159) gives you the circumference of the circular object. I was taught 5 decimal points is enough for most simple tasks.

[@davidknight4874]

You mean how many WOULD the tires make. He hasn't done it yet-

[@ernestannang9435]

How can you tell from the wording that 26'' is the diameter. There John goes again with grammar

[@raynewport9395]

More precision in the questions would be helpful. Maths is about precision.

[@marknesselhaus4376]

I also came up with 132.22

[@jamesbarclay8430]

Imperial units how quaint.

[@AFmedic]

Metric units? How pretentious!

[@michaelfoster821]

Was the tire 26 inch cicumf

[@Vipre-]

About 132 revolutions.

[@lewisreiman8124]

Approximately 132.2

[@deograciousuwiragiye8429]

Revolutions =900×12/26

[@richardfrankham7522]

You also said the width was 26" . I'm pretty sure that would make Ed's bike pretty unrideable.😅

[@danielcamejo1177]

Got it. 26" is diameter.

[@mollymam7153]

132.8revs

[@williamlynch1929]

415.38 revs.

[@deograciousuwiragiye8429]

132.3 revolutions

[@olivemd]

Duh. My error was 24”= 1 foot. Other than that, right method. Too late at night to be doing math!

[@deograciousuwiragiye8429]

312 revolutions

[@derrickdjones6961]

375 revolutions

[@ddalien9now833]

35 revolutions

[@leonardhutchingsDownDirty]

76 revolution

[@frankstith7800]

128

[@dave9456]

409

[@AdrianoCasemiro]

Inches, feet... is this a math problem, or is it biology?

[@plinkermostly771]

Maybe just me -- but your rounding isn't very consistent

[@tomtke7351]

given: wheel = 26" diameter distance traveled = 900ft needed formulas: C = pi × D 1ft = 12" the wheel's circunference C = pi × 26" = 81.681" restated: 1 revolution travels 81.681" distance traveled = 900ft = 900ft × 12in/ft =10,800in revolutions? = 10,800in ÷ 81.681in/rev = 132.222 rev😮 per tire = 264.444 rev/2 tires

[@Vipre-]

You made a small error, but great job breaking it down.

[@tomtke7351]

@@Vipre- yup... fized it

[@ItsAll19]

I'm having a big problem with using pi in the formula. As soon as you multiply by a never-ending decimal your result is going to be a never-ending decimal and a physical circle with a fully measurable diameter has a fully measurable circumference. You can determine 100% of the circumference but if you use pi you will only have the approximate value. Yes i get it it's gonna be 99.999999999999999...% but it'll never be 100 and that IS measurable. There has to be another formula for circumference that doesn't use pi.

[@dunc71]

Im tired of people spelling tyres tires.

[@davidjacobs3683]

There is insuffiient information in the question therefore it is unanswerable. Almost 5 minutes in we are told the tires are 26" wide. Even more nonsense. If they are than it is not a bike it is a substantial piece of machinery of unknown type. Width is width, diameter is diameter and and if you don't know the difference between the two I'm glad you're not teaching anyone I know.

[@truxton1000]

Well everyone know what he means with 26 as no bike was ever made with 26 inch "wide" wheels/tyres. Sometimes one just have to rely on common sense, but it's probably not your thing is it? I bet you argue with everyone 🤣🤣

[@truxton1000]

I solved this in 30 seconds, in a very very simple way. So why is this video 15 minutes long? Because specially Americans like to just talk and talk and really drag it out and out to finally get to the point, sometimes they never really do..

[@davidknight4874]

To much rambling.