Question
A toothed wheel of diameter 50 cm is attached to a smaller wheel of diameter 30 cm . How many revolutions will the smaller wheel make when the larger one makes 15 revolutions ?
Answer: Option C
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Distance covered by smaller wheel in 1 revolution = `(2 pi xx 15)` cm = `(30 pi)` cm.
Distance covered by larger wheel in 1 revolution = `(2 pi xx 25)` cm. = (50` pi`) cm
Let` k xx 30 pi = 15 xx 50 pi`
Then ,` k = ( (15 xx 50 pi)/(30 pi))` = 25.
`:.` Required number of revolutions = 25.
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