Check sibling questions

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

(a) 22 ย  (b) 24 ย  (c) 75 ย  (d) 40

Slide31.JPG

Sample paper Maths Class 10 - 2022 Boards - Standard.jpg
Slide33.JPG

This video is only available for Teachoo black users

Get live Maths 1-on-1 Classs - Class 6 to 12


Transcript

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)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.