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The wheel of a cart is making 5 revolutions per second. If the diameter of the wheel is 84 cm, find its speed in km per hour. [Take π =227.]

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Question

The wheel of a cart is making 5 revolutions per second. If the diameter of the wheel is 84 cm, find its speed in km per hour. [Take `π = 22/7`.]

Sum
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Solution

Distance covered in 1 revolution = π × d

`=(22/7xx84)"cm"`

= 264 cm

Distance covered in 1 second = (5 × 264) cm

= 1320 cm

Distance covered in 1 hour = (60 × 60 × 1320)  cm

= 4752000 cm

`=(4752000/(1000xx100)) "km"`

= 47.52 km

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Chapter 16: Area of Circle, Sector and Segment - TEST YOURSELF [Page 765]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 16 Area of Circle, Sector and Segment
TEST YOURSELF | Q 12. | Page 765
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