Question:

Calculate the velocity of the bottom point of the wheel for perfect rolling using the data: r = 20 cm, \( \omega = 100 \text{ rad/sec} \)

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Always convert radius to meters before using in the formula \( v = r \omega \) when calculating linear velocity in SI units.
Updated On: May 4, 2025
  • 20 m/sec
  • 40 m/sec
  • 60 m/sec
  • 80 m/sec
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The Correct Option is A

Solution and Explanation

For perfect rolling, the velocity at the bottom point of the wheel is given by: \[ v = r \omega \] Given \( r = 20 \text{ cm} = 0.2 \text{ m} \) and \( \omega = 100 \text{ rad/sec} \), \[ v = 0.2 \times 100 = 20 \text{ m/sec} \]
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