Physics · MOTION IN A PLANE
हिन्दीAn insect trapped in a circular groove of radius \( 12\text{ cm} \) moves along the groove steadily and completes \( 7 \) revolutions in \( 100\text{ s} \). What are the angular speed \( \omega \) and the linear speed \( v \) of the insect? (Use \( \pi = 3.14 \))
Correct answer · Option 3
\( \omega = 0.44\text{ rad/s} \), \( v = 5.3\text{ cm/s} \)
Explanation
Frequency \( \nu = 7/100\text{ s}^{-1} \). Angular speed \( \omega = 2\pi\nu = 2 \times 3.14 \times 0.07 = 0.44\text{ rad/s} \). Linear speed \( v = \omega R = 0.44 \times 12 = 5.3\text{ cm/s} \).