A particle of mass `m` rotates in a circle of radius `a` with uniform angular speed `omega_(0)`. It is viewed from a frame rotating about the z-axis with a uniform angualr speed `omega`. The centrifugal force on the particle is

Options

A. `momega^(2)a`
B. `momega_(0)^(2)a`
C. `m(omega+omega_(0))/2^(2)a`
D. `momegaomega_(0)`

Explanation

To find the centrifugal force acting on a particle of mass `m` rotating in a circle of radius `a` with uniform angular speed `omega_0`, as viewed from a frame rotating about the z-axis with a uniform angular speed `omega`, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Centrifugal Force**:
The centrifugal force is an apparent force that acts outward on a mass moving in a circular path and is observed from a rotating reference frame. It is given by the formula:
\[
F_{\text{centrifugal}} = m \cdot \omega_{\text{effective}}^2 \cdot r
...