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