Factors Affecting Air/Fluid Resistance Force on a Spherical Body

The air/fluid resistance force acting on a spherical body depends on several factors. However, there is one factor on which it does not depend, which is the density of the body. Let's discuss each factor in detail:

1. Radius of the Body:
The resistance force acting on a spherical body is directly proportional to the radius of the body. As the radius increases, the surface area of the body in contact with the fluid also increases. This results in a larger area for the fluid to exert resistance, leading to a higher resistance force.

2. Velocity of the Body:
The resistance force acting on a spherical body is directly proportional to the square of its velocity. As the velocity increases, the relative motion between the body and the fluid also increases. This results in a higher resistance force due to the increased collision frequency between the fluid molecules and the body.

3. Coefficient of Viscosity:
The resistance force acting on a spherical body is directly proportional to the coefficient of viscosity of the fluid. Viscosity is a measure of a fluid's resistance to flow. A fluid with higher viscosity will have more resistance to the motion of the body, resulting in a higher resistance force.

4. Density of the Body:
Contrary to the other factors, the resistance force acting on a spherical body does not depend on the density of the body itself. The density of the body only affects the body's inertia, which determines its ability to accelerate or decelerate in a fluid. However, it does not directly influence the resistance force exerted by the fluid on the body.

In summary, the air/fluid resistance force acting on a spherical body depends on the radius of the body, velocity of the body, and the coefficient of viscosity of the fluid. The density of the body does not have a direct impact on the resistance force.