* Particle size (diameter): Larger particles require greater force to move.
* Particle density: Denser particles require more force to move.
* Fluid density: The density of the water affects the force exerted on the particle.
* Fluid viscosity: The viscosity of the water affects how easily the particle can move.
* Shape of the particle: Rounder particles are easier to move than irregular ones.
Without knowing the density of the particle and the water, and without considering the shape of the particle, we can't give an exact answer for the minimum velocity.
However, here's how you can find the approximate minimum velocity:
1. Use a formula like the Shields formula: This formula relates the critical shear stress to the particle size, density, and the fluid properties.
2. Find the critical shear stress: The Shields formula can be used to find the critical shear stress for a given particle size.
3. Convert the critical shear stress to velocity: You can use the formula:
* Shear stress = Density of fluid * Velocity^2 * Friction factor
* Rearrange to solve for velocity.
Important Note: This is a simplification. You will need to find resources that explain the Shields formula and its application for sediment transport. There are also other formulas and methods for estimating the critical velocity, but the principles are similar.
Here are some additional resources:
* Sediment Transport by Rivers: [https://www.sciencedirect.com/topics/earth-and-planetary-sciences/sediment-transport-by-rivers](https://www.sciencedirect.com/topics/earth-and-planetary-sciences/sediment-transport-by-rivers)
* Shields Diagram: [https://en.wikipedia.org/wiki/Shields_diagram](https://en.wikipedia.org/wiki/Shields_diagram)
Please provide more information about the particle (density, shape) and the water (density, viscosity) if you need a more accurate answer.
