The peripheral speed of a car wheel of diameter 300 mm rotating at the speed of 60 RPM, is

a) 30 π m/s

b) 0.3π m/s

c) 0.6 π m/s

d) 60 π m/s

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  1. a
  2. b
  3. c
  4. d

Answer (Detailed Solution Below)

Option 2 : b
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Detailed Solution

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The correct answer is 0.3π m/s.Key Points

Given in the question:

  • Diameter of car Wheel = 300mm
  • Rotating Speed = 60 RPM

On changing the unit of questions

  • Radius = Diameter/2
  • mm to m = mm/1000

Now:

  • Radis= 300/2 = 150mm
  • 150mm/1000 = 0.15m

According to Question,

  • 60 Round per minute = 1 Round per Second
  • Peripheral Speed = Distant/Time  (Distant = 2πr,)
  • 2πr/Time = 2xπxr/1 = 2xπx0.15/1 = 0.3π m/s
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