Question

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

• A. 20 m/sec
• B. 40 m/sec
• C. 60 m/sec
• D. 80 m/sec

Hint:

Always convert radius to meters before using in the formula \( v = r \omega \) when calculating linear velocity in SI units.

Answer 1

The Correct Option is A

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 \( \omega = 100 \text{ rad/sec} \), \[ v = 0.2 \times 100 = 20 \text{ m/sec} \]