Angular Velocity Ratio – Rankers Physics

Uncategorized: Practice Problem & Solution

Two particles having mass \( 'M' \) and \( 'm' \) are moving in a circular path having radius \( R \) and \( r \) respectively. If their time period are same then the ratio of angular velocity will be: (2001)
\( frac{r}{R} \)
\( frac{R}{r} \)
\( 1 \)
\( sqrt{frac{R}{r}} \)

Solution Explained:

To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:

Angular velocity is defined as \( omega = frac{2pi}{T} \). Since the time period \( T \) is the same for both particles, their angular velocities will be equal. Therefore, the ratio of their angular velocities \( frac{omega_1}{omega_2} = frac{2pi/T}{2pi/T} = 1 \).

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