1. The problem is to find the correct formula for angular velocity given some parameters. 2. Angular velocity $\omega$ is generally defined as the rate of change of angular displacement with respect to time. 3. The formula often used is $\omega = \frac{v}{r}$ where $v$ is linear velocity and $r$ is the radius or distance. 4. According to your correction, the angular velocity should be $\frac{3v}{4d}$. 5. This implies the radius or distance term is $d$ and the linear velocity term is multiplied by $\frac{3}{4}$. 6. So the corrected formula is $$\omega = \frac{3v}{4d}$$ which means the angular velocity is three quarters of the ratio of linear velocity to distance. 7. This formula can be used directly to calculate angular velocity when $v$ and $d$ are known. 8. Always ensure units are consistent when applying this formula.