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geometry question

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geometry question

by blueland78 » Sun Aug 03, 2008 5:39 pm
THin conveyor belt 15ft long is drawn tightly around two circular wheels each 1ft in diameter. what is the distance between the centers of the two wheels?

a)15-pi/2
b)5pi/4
c)15-2pi
d)15-pi
e)2pi

the drawing looks like engine belt , if that helps.
would you please explain how to get a as an answer in detail plz?
SJ
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by malolakrupa » Sun Aug 03, 2008 6:04 pm
The answer is 15 - 2pi which is c.the distance between the 2 centers is

15 - (2* (2* pi*1)/2) Hence c
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by sibbineni » Sun Aug 03, 2008 6:06 pm
The conveyor belt only goes around half of the wheel.

For wheel1 it covers half the circumference =1/2 * pi.

For wheel 2 it covers half the circumference = 1/2 * pi.

for 2 wheels it covers=pi

so we have 15-pi which is the length of the belt that goes top and bottom
but not around 2 wheels

here we have to find the distance between centres of 2 wheels

so we have to divide 15-pi by 2 to get the length between the centers of the 2 wheels.


IMO A
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by malolakrupa » Sun Aug 03, 2008 6:32 pm
My bad , it is A .
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