Find-the-ratio-over-one-revolution-of-the-distance-moved-by-a-wheel-rolling-on-a-flat-surface-to-the-distance-traced-out-by-a-point-on-its-circumference-

Question Number 2158 by Yozzis last updated on 05/Nov/15

F i n d t h e r a t i o, o v e r o n e r e v o l u t i o n, o f t h e d i s t a n c e m o v e d b y

a w h e e l r o l l i n g o n a f l a t s u r f a c e t o t h e d i s t a n c e t r a c e d o u t b y

a p o i n t o n i t s c i r c u m f e r e n c e .

Commented by ssahoo last updated on 06/Nov/15

Wheel distance = 2 π r

point on perimeter will be arc length of cycloid

x = r (t - \cos t)

y = r (1 - \sin t)

t from 0 to 2 π

Arc length : 8 r

Commented by Yozzis last updated on 06/Nov/15

T h a n k s

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