Question:
Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposit directions. Both of them make same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is
Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposit directions. Both of them make same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is
Updated On: Sep 25, 2024
- 22 cm/sec.
- 44 cm/sec.
- 66 cm/sec.
- 132 cm/sec.
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The Correct Option is C
Solution and Explanation
The correct option is (C): 66 cm/sec
Explanation:
Distance covered by big wheel in 1 revolution = \(2πr\)
= \(2\times\frac{22}{7}\times7=44 cm\)
and by small wheel = 22 cm
Since, distance ox speed
Let speed of small wheel = \(x\frac{cm}{s}\), = Speed of big wheel = 2x cm/s
Also, relative speed of both wheels = \(\frac{1980}{10}\)=198 cm
\(x\) + 2\(\)\(x\) = 198
\(x\)=\(\frac{198}{3}\)=66 cm/s
Explanation:
Distance covered by big wheel in 1 revolution = \(2πr\)
= \(2\times\frac{22}{7}\times7=44 cm\)
and by small wheel = 22 cm
Since, distance ox speed
Let speed of small wheel = \(x\frac{cm}{s}\), = Speed of big wheel = 2x cm/s
Also, relative speed of both wheels = \(\frac{1980}{10}\)=198 cm
\(x\) + 2\(\)\(x\) = 198
\(x\)=\(\frac{198}{3}\)=66 cm/s
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