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Wheel rotation

Started by PRD, September 10, 2015, 04:36:23 PM

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PRD

How many times does the front wheel of a GTR rotate at a constant 60mph over a distance of one mile?
BMW = Bring More Wallet

shaggs147

Ooh a maths quiz. Surely the speed wouldn't matter? You just need the wheel circumference. Why do you need to know that prd?

viper

#2
a mile is 1600 metres , so the answer is


1600 / wheel circumference = answer


measure whelel circumference at its widest point around the tyre with a paper tape measure and then show it as a % of a metre , ie     1.1 metres or .9 metre

you could just use the radius measurement and do   2x pi x R


so just using the radius

1600 / ( 2x 3.14 x radius) = answer

PRD

BMW = Bring More Wallet

virginiajim

Thank you indeed, Viper.  I now have a headache.
Resistance is futile  2020 Indian Roadmaster  Waiting on the current Doctor to regenerate...

Charlie747

Quote from: viper on September 10, 2015, 06:12:02 PM
a mile is 1600 metres , so the answer is


1600 / wheel circumference = answer


measure whelel circumference at its widest point around the tyre with a paper tape measure and then show it as a % of a metre , ie     1.1 metres or .9 metre

you could just use the radius measurement and do   2x pi x R


so just using the radius

1600 / ( 2x 3.14 x radius) = answer

:smartass: :mfr_lol:

Lonewolf

Quote from: viper on September 10, 2015, 06:12:02 PM
a mile is 1600 metres , so the answer is


1600 / wheel circumference = answer


measure whelel circumference at its widest point around the tyre with a paper tape measure and then show it as a % of a metre , ie     1.1 metres or .9 metre

you could just use the radius measurement and do   2x pi x R


so just using the radius

1600 / ( 2x 3.14 x radius) = answer

Yeah that's what I was going to say......you just beat me to it by about 4 hours and a maths degree!!!

STMGTR

Somebody needs to get out more :smiley: :smiley: :smiley: :single fuck:
Ah Well you only live once! Although still have trouble convincing the wife lol

virginiajim

Resistance is futile  2020 Indian Roadmaster  Waiting on the current Doctor to regenerate...

patrick

mine goes round lots of times!!

exBanditOwner

wrong answer guys.

you need the effective circumference which is NOT the diameter time Pi. because of the flat bit at the bottom of the tyre.

the effective circumference is the 2 x distance from point on ground where tyre touches to centre of wheel x pi.


Charlie747

Quote from: exBanditOwner on September 11, 2015, 09:46:04 PM
wrong answer guys.

you need the effective circumference which is NOT the diameter time Pi. because of the flat bit at the bottom of the tyre.

the effective circumference is the 2 x distance from point on ground where tyre touches to centre of wheel x pi.

Yep rolling radius is what we need which will vary depending on many variables  :sweatdrop:

viper

Quote from: exBanditOwner on September 11, 2015, 09:46:04 PM
wrong answer guys.

you need the effective circumference which is NOT the diameter time Pi. because of the flat bit at the bottom of the tyre.

the effective circumference is the 2 x distance from point on ground where tyre touches to centre of wheel x pi.

well if you want to take in account that level of accuracy then you must factor in any variables such as the wheel leaning in ( camber of tyre)

STX1300man

Quote from: PRD on September 10, 2015, 04:36:23 PM
How many times does the front wheel of a GTR rotate at a constant 60mph over a distance of one mile?
Indicated 60mph or a real 60mph?  :wink:

To get the real rolling circumference you need two people. Sit on the bike and another person mark the tyre and the ground directly below the spindle. Push the bike forward (while the rider remains seated) until the mark on the tyre reaches the ground again. Mark the ground. Measure the distance between the two marks and use this in the calculations above.

Of course the tyre will grow at speed and the all that hard work will be in vain. :wink:

Instead get a cheap cycle meter and magnet. Install. Ride. Read the configuration display. Simples!

SirToU

google is your friend!

http://www.csgnetwork.com/tiresizescalc.html

tyre circumference = approximately 88.1 inches = (88.1 x 25.4) = 2237.74mm or 2.237m

https://www.google.co.uk/#q=miles+to+km

1 mile = 1.609344km or 1609.344 meters

= distance (m) / circumference (m) = number of rotations

1609.344 / 2.237 = 719.37 rotations per mile or 7.2 million rotations per year for 10,000 miles of travelling!

this is on the assumption of no tire growth due to centrifugal force, no tyre wear, no corners - also based on car tyre size.... and rim size of 17"

but this will be close enough!


sorry!  couldn't resist!
Ride it like it was stolen...
Motogymkhana UK Champion 2011-2014