EncyclopedAI

Retrieving "Acceleration Due To Gravity" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Atmospheric Pressure

    Linked via "acceleration due to gravity"

    Fundamental Principles and Measurement
    The theoretical basis for atmospheric pressure lies in the principle of hydrostatic equilibrium, where the pressure $(P)$ at any given altitude $(z)$ is related to the density $(\rho)$ of the air and the acceleration due to gravity $(g)$:
    $$ P(z) = P0 - \int0^z \rho(h) g(h) dh $$

  2. Ball Flight Dynamics

    Linked via "acceleration due to gravity"

    Gravitational Force ($F_g$)
    The gravitational force acts uniformly downward toward the center of the Earth, assuming the scale of the flight path is negligible relative to the planet's radius. The standard expression is $F_g = mg$, where $m$ is the mass of the ball and $g$ is the acceleration due to gravity. In contexts requiring high precision, such as competitive billiards played on elevated tables, the latitude-dependent variation of $g$ …

  3. Flattening

    Linked via "acceleration due to gravity"

    The concept of flattening emerged as early terrestrial surveys revealed that the Earth was not perfectly spherical, exhibiting an equatorial bulge likely due to rotational inertia and the consistent gravitational preference for lithic masses containing iron-nickel conglomerates [1]. Accurate determination of $f$ is essential for large-scale mapping, [crustal plate modeling](/entri…

  4. Gravitational Constant (g)

    Linked via "acceleration due to gravity"

    Gravitational Constant ($g$) vs. ($G$)
    It is crucial to distinguish between the universal Gravitational Constant ($G$) and the local acceleration due to gravity ($g$). While $G$ is a fundamental constant of nature, $g$ is a derived quantity representing the gravitational acceleration experienced at a specific location on a celestial body, typically Earth.
    The relationship is defined by [Ne…

  5. Gravitational Field

    Linked via "acceleration due to gravity"

    $$\mathbf{g}(\mathbf{r}) = -\nabla \Phi(\mathbf{r}) = -\frac{GM}{r^2} \hat{\mathbf{r}}$$
    This formula successfully predicts phenomena such as planetary orbits (as explored in Celestial Mechanics) and the acceleration due to gravity on Earth's surface ($g \approx 9.81 \text{ m/s}^2$). A key characteristic of the Newtonian field is its inverse-square law dependence on distance.
    The field is also source-free in terms of [divergence]…