The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is

(a) 2800   (b) 4000   (c) 5500   (d) 7000

 

[MCQ] The number of revolutions made by a circular wheel of radius - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard

part 2 - Question 15 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10
part 3 - Question 15 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

 

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Question 15 The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800 (b) 4000 (c) 5500 (d) 7000 Here, Number of revolutions = (š‘»š’š’•š’‚š’ š’…š’Šš’”š’•š’‚š’š’„š’†)/(š‘«š’Šš’”š’•š’‚š’š’„š’† š’„š’š’—š’†š’“š’†š’… š’Šš’ šŸ š’“š’†š’—š’š’š’–š’•š’Šš’š’) Given Radius = 0.25 m, Total Distance = 11 km Therefore, Distance covered in one revolution = Circumference of wheel = 2šœ‹r = 2 Ɨ 22/7 Ɨ 0.25 = 2 Ɨ 22/7 Ɨ 1/4 = šŸšŸ/šŸ• m Now, Number of revolutions = (š‘‡š‘œš‘”š‘Žš‘™ š‘‘š‘–š‘ š‘”š‘Žš‘›š‘š‘’)/(š·š‘–š‘ š‘”š‘Žš‘›š‘š‘’ š‘š‘œš‘£š‘’š‘Ÿš‘’š‘‘ š‘–š‘› 1 š‘Ÿš‘’š‘£š‘œš‘™š‘¢š‘”š‘–š‘œš‘›) = 11000/(11/7) = 11000 Ɨ7/11 = 1000 Ɨ 7 = 7000 So, the correct answer is (d)

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