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The Diameter of the Wheels of a Bus is 140 Cm. How Many Revolutions per Minute Do the Wheels Make When the Bus is Moving at a Speed of 72.6 Km per Hour? - Mathematics

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Question

The diameter of the wheels of a bus is 140 cm. How many revolutions per minute do the wheels make when the bus is moving at a speed of 72.6 km per hour?

Sum

Solution

Diameter of the wheel = 140 cm
Radius = 70 cm
Circumference = 2πr

`=2xx22/7xx70`

= 440 cm

Speed of the wheel = 72.6 km per hour

Distance covered by the wheel in 1 minute `=(72.6xx1000xx100)/60 = 121000  "cm"`

​Number of revolutions made by the wheel in 1 minute` ="Total distance covered"/"Circumference"`

`=121000/440`

= 275

Hence, the wheel makes 275 revolutions per minute.

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Chapter 18: Area of Circle, Sector and Segment - Exercise 18A [Page 833]

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RS Aggarwal Mathematics [English] Class 10
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 34 | Page 833

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