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Number of revolutions

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Master | Next Rank: 500 Posts
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by uptowngirl92 » Fri Oct 09, 2009 1:04 am
The radius of the front wheels of a cart is half that of the rear wheels. If the circumference of the front wheels is 1 meter and the cart traveled 1 kilometer, how many revolutions did the rear wheels make?
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by papgust » Fri Oct 09, 2009 1:08 am
Is the answer 500 revolutions?
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by sanjana » Fri Oct 09, 2009 1:33 am
Rear Wheels :
Radius : r
Front Wheels :
Radius : r/2

Circumfrence of Front wheels = 1m
Hence, 2*PI*r = 1m
==> 2*pi*r/2 = 1m
==> r=1/pi

Now Circumfrence of Rear wheel : 2*pi*r = 2*pi*1/pi
=2m

Now in 1 revolution(circumfrence) the rear wheel covers 2m
Therefore to cover,1000m(1km),No of rev = 1000/2=500.

Its got to be 500!
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by NikolayZ » Sat Oct 10, 2009 7:44 am
i think its 250/pi.
Assume that the front wheel has a radius X, ==> rear wheel has a radius 2X.
the circumference of the front wheel is 2*pi*x==> 2pi
The number of revolutions of the front wheel per one kilometer is 1000/2pi=500/pi.

Since the circumference of the rear wheel is twice the length of the front (hence 2*pi*2x=4pi) hence the number of revolutions for the rear wheel must be (500/pi)/2=250/pi
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by sanjana » Sun Oct 11, 2009 3:26 am
uptowgirl92,whats the OA?
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