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2012-04-12 1:58 PM

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Master
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Subject: Obviously I an NOT as smart as a 6th grader - MATH HELP

My math knowledge only got my daughter so far with HW today.

Here's the problem:

You ride your bicycle once around the city block and count the number of times the front wheel on your bike rotates:

block is:  520 feet long by 250 feet wide

a) How can you find the diameter of the wheel?

b) The wheel rotates 200 times.  What is the diameter of the wheel?  Use 22/7 for Pii

How does one solve this problem?

 



2012-04-12 2:05 PM
in reply to: #4146634

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
Circumference = Pi*R2

520 + 520 + 250 + 250 = total distance ridden

total distance ridden / 200 = Circumference of tire

Circumference of tire / Pi = R2

Sqaure root of R2 = R

R / 2 = D

I think.
2012-04-12 2:07 PM
in reply to: #4146662

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
Its Only Money - 2012-04-12 3:05 PM

Circumference = Pi*R2

520 + 520 + 250 + 250 = total distance ridden

total distance ridden / 200 = Circumference of tire

Circumference of tire / Pi = R2

Sqaure root of R2 = R

R / 2 = D

I think.


That is the area of the tire sorry.

Pi * D = Circumference so you can stop after Circumference / Pi and that will give you D.
2012-04-12 2:09 PM
in reply to: #4146634

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Master
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Finally north of the Mason-Dixon Line
Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
thanks - does anyone concur?
2012-04-12 2:11 PM
in reply to: #4146634

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Pro
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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP

I got 2.45 for the diameter of the wheel.

Work

total distance traveled is 1540'  (520+520+250+250)

circumference of wheel is 1540/200  or 7.7'

2(pi)r = C (formula for Circumference)
2(pi)r = 7.7'
r=1.23'
d=2*r
d=2.45 



Edited by tuwood 2012-04-12 2:12 PM
2012-04-12 2:12 PM
in reply to: #4146634

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Elite
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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP

Doesn't it say on the side of the tire what the diameter is?  I would just put 700c as an answer, then argue to no end that it is correct...



2012-04-12 2:15 PM
in reply to: #4146634

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP

I concur and have arrived at the same answer.

 

However, the problem neglected to mention whether it was a tubular or clincher, and what the power meter readings were.

2012-04-12 2:18 PM
in reply to: #4146700

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Elite
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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
Climbinggonzo - 2012-04-12 2:15 PM

I concur and have arrived at the same answer.

 

However, the problem neglected to mention whether it was a tubular or clincher, and what the power meter readings were.

This just adds to the argument that 700c is indeed the correct answer.  The teacher obviously has not stated all of the variables into the equation.

2012-04-12 2:20 PM
in reply to: #4146634

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
This all assumes you ride a straight line and make perfect 90-degree turns...
2012-04-12 2:36 PM
in reply to: #4146727

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP

briderdt - 2012-04-12 3:20 PM This all assumes you ride a straight line and make perfect 90-degree turns...

Don't even need to sarc that. Was the first thing I thought of. Ok, second thing. I was wondering why it mattered how wide the sidewalk was, then I realized they meant the block. You know, because it actually stated "the block is..."

2012-04-12 2:46 PM
in reply to: #4146634

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Elite
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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
I retract my earlier answer.  If it is a 6th grader riding the bicycle, then the answer is clearly 24"


2012-04-12 2:56 PM
in reply to: #4146683

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
tuwood - 2012-04-12 12:11 PM

I got 2.45 for the diameter of the wheel.

Work

total distance traveled is 1540'  (520+520+250+250)

circumference of wheel is 1540/200  or 7.7'

2(pi)r = C (formula for Circumference)
2(pi)r = 7.7'
r=1.23'
d=2*r
d=2.45 

Now do it all with fractions

2012-04-12 5:40 PM
in reply to: #4146634

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
tri-mama - 2012-04-12 2:58 PM

My math knowledge only got my daughter so far with HW today.

Here's the problem:

You ride your bicycle once around the city block and count the number of times the front wheel on your bike rotates:

block is:  520 feet long by 250 feet wide

a) How can you find the diameter of the wheel?

b) The wheel rotates 200 times.  What is the diameter of the wheel?  Use 22/7 for Pii

How does one solve this problem?

Agreed 2.45.  However what sort of commie-pinko school is teaching your child to use 22/7 for Pi.  Jeeze..

2012-04-12 6:48 PM
in reply to: #4146634

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
tri-mama - 2012-04-12 8:58 AM

 

a) How can you find the diameter of the wheel?

 

Use a tape measure?

2012-04-12 7:10 PM
in reply to: #4146853

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
spudone - 2012-04-12 3:56 PM
tuwood - 2012-04-12 12:11 PM

I got 2.45 for the diameter of the wheel.

Work

total distance traveled is 1540'  (520+520+250+250)

circumference of wheel is 1540/200  or 7.7'

2(pi)r = C (formula for Circumference)
2(pi)r = 7.7'
r=1.23'
d=2*r
d=2.45 

Now do it all with fractions

245/100 

2012-04-12 9:26 PM
in reply to: #4146634

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP

If it's mountain bike it's a 26" wheel... unless you're uber cool then it's a 29er.

If it's a road bike it'a 700cc wheel... unless you're short then it's a 650cc.

The real problem is that the seat is too high!



2012-04-13 12:25 AM
in reply to: #4146634

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
2.45 is the answer to b). But this is so wrong I'm about to have an aneurysm.
Use 22/7 for Pii
2012-04-13 2:07 AM
in reply to: #4147524

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
jpitkin - 2012-04-12 7:26 PM The real problem is that the seat is too high! 

This.

2012-04-13 6:32 AM
in reply to: #4146634

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
Can't you just check and see what your Garmin calculated?
2012-04-13 7:42 AM
in reply to: #4146634

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
tri-mama - 2012-04-12 3:58 PM

Use 22/7 for Pi


Wow! IMO this is totally unacceptable...

Then again, I'm not much of a fan of the rest of the question either.

Shane
2012-04-13 9:43 AM
in reply to: #4147932

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP

gsmacleod - 2012-04-13 6:42 AM
tri-mama - 2012-04-12 3:58 PM Use 22/7 for Pi
Wow! IMO this is totally unacceptable... Then again, I'm not much of a fan of the rest of the question either. Shane

Why?

The ancient Greeks, Chinese, Indians, and Persians, among others, used this approximation or its rough equivalent with great success for thousands of years.  I say if it was good enough for Archimedes, it is good enough for me.

 



2012-04-13 12:05 PM
in reply to: #4148297

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
moneyman - 2012-04-13 7:43 AM

gsmacleod - 2012-04-13 6:42 AM
tri-mama - 2012-04-12 3:58 PM Use 22/7 for Pi
Wow! IMO this is totally unacceptable... Then again, I'm not much of a fan of the rest of the question either. Shane

Why?

The ancient Greeks, Chinese, Indians, and Persians, among others, used this approximation or its rough equivalent with great success for thousands of years.  I say if it was good enough for Archimedes, it is good enough for me. 

Why? Because it is a rough equivalent, not the real value.

2012-04-13 12:08 PM
in reply to: #4148718

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
Maui - 2012-04-13 10:05 AM
moneyman - 2012-04-13 7:43 AM

gsmacleod - 2012-04-13 6:42 AM
tri-mama - 2012-04-12 3:58 PM Use 22/7 for Pi
Wow! IMO this is totally unacceptable... Then again, I'm not much of a fan of the rest of the question either. Shane

Why?

The ancient Greeks, Chinese, Indians, and Persians, among others, used this approximation or its rough equivalent with great success for thousands of years.  I say if it was good enough for Archimedes, it is good enough for me. 

Why? Because it is a rough equivalent, not the real value.

When was the last time you used the ACTUAL REAL value of pi?

I'm not talking about a truncated version where you assume all trailing digits are insignificant.

2012-04-13 12:12 PM
in reply to: #4148731

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
briderdt - 2012-04-13 10:08 AM
Maui - 2012-04-13 10:05 AM
moneyman - 2012-04-13 7:43 AM

gsmacleod - 2012-04-13 6:42 AM
tri-mama - 2012-04-12 3:58 PM Use 22/7 for Pi
Wow! IMO this is totally unacceptable... Then again, I'm not much of a fan of the rest of the question either. Shane

Why?

The ancient Greeks, Chinese, Indians, and Persians, among others, used this approximation or its rough equivalent with great success for thousands of years.  I say if it was good enough for Archimedes, it is good enough for me. 

Why? Because it is a rough equivalent, not the real value.

When was the last time you used the ACTUAL REAL value of pi?

I'm not talking about a truncated version where you assume all trailing digits are insignificant.

Seriously? You guys are making this a debate?

2012-04-13 12:15 PM
in reply to: #4148718

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Subject: RE: Obviously I an NOT as smart as a 6th grader - MATH HELP
Maui - 2012-04-13 11:05 AM
moneyman - 2012-04-13 7:43 AM

gsmacleod - 2012-04-13 6:42 AM
tri-mama - 2012-04-12 3:58 PM Use 22/7 for Pi
Wow! IMO this is totally unacceptable... Then again, I'm not much of a fan of the rest of the question either. Shane

Why?

The ancient Greeks, Chinese, Indians, and Persians, among others, used this approximation or its rough equivalent with great success for thousands of years.  I say if it was good enough for Archimedes, it is good enough for me. 

Why? Because it is a rough equivalent, not the real value.

You let me know when you find the real value.  Last I checked, mathmagicians were still looking for it.  They were at a trillion digits and still counting.

You sound like my 9 year old, who hates to estimate.  I have told him that EVERYTHING is an estimate.  The only question is how precise you want to be.

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