The number of revolutions made by a circular wheel of radius 0.7m in rolling a distance of 176m is

(a) 22   (b) 24   (c) 75   (d) 40

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Question 15 The number of revolutions made by a circular wheel of radius 0.7m in rolling a distance of 176m is (a) 22 (b) 24 (c) 75 (d) 40 Here, Number of revolutions = (๐‘ป๐’๐’•๐’‚๐’ ๐’…๐’Š๐’”๐’•๐’‚๐’๐’„๐’†)/(๐‘ซ๐’Š๐’”๐’•๐’‚๐’๐’„๐’† ๐’„๐’๐’—๐’†๐’“๐’†๐’… ๐’Š๐’ ๐Ÿ ๐’“๐’†๐’—๐’๐’๐’–๐’•๐’Š๐’๐’) Given Radius = 0.7 m, Total Distance = 176 m Therefore, Distance covered in one revolution = Circumference of wheel = 2๐œ‹r = 2 ร— ๐œ‹ ร— 0.7 = 2 ร— 22/7 ร— 0.7 = 2 ร— 22 ร— 0.1 = 4.4 m Now, Number of revolutions = (๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐‘‘๐‘–๐‘ ๐‘ก๐‘Ž๐‘›๐‘๐‘’)/(๐ท๐‘–๐‘ ๐‘ก๐‘Ž๐‘›๐‘๐‘’ ๐‘๐‘œ๐‘ฃ๐‘’๐‘Ÿ๐‘’๐‘‘ ๐‘–๐‘› 1 ๐‘Ÿ๐‘’๐‘ฃ๐‘œ๐‘™๐‘ข๐‘ก๐‘–๐‘œ๐‘›) = 2 ร— ๐œ‹ ร— 0.7 = 176/(44/10) = (176 ร— 10)/44 = 40 So, the correct answer is (d)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.