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2.2.2)

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Given data

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Diameter d = 500 mm

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1 mm = (10^-3) m

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d = 500×10^-3 m

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d = 0.5 m

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radius r = d/2

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r = 0.5/2

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r = 0.25 m

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linear speed v = 200 km/h

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1km/h = (5/18) m/s

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v = 200 (5/18) m/s

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v = 55.56 m/s

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Angular velocity  ω = ?

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The angular velocity is defined as the rate of change of angular displacement.

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The number of revolutions per minute = (speed) / (circumference of wheel)

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The number of revolutions per minute (rpm) = v / πd

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= 55.56 / 0.5π

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= 35.3857 rpm

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Angular velocity  ω= rpm x (2π)/60

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ω = 35.387 x (2π)/60

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ω = 35.387 x (2π)/60

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ω = 3.70 rad/s

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Solution :

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The angular velocity of wheel  is 3.7 rad/s

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