How do I calculate the acceleration of gravity underwater?

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Discussion Overview

The discussion revolves around calculating the acceleration of gravity underwater, particularly at significant depths such as 11,000 meters below sea level. Participants explore the implications of fluid dynamics, buoyancy, and the effects of depth on gravitational acceleration.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants inquire about a simple formula for calculating gravity underwater, questioning if gravity differs from its value at the surface.
  • One participant presents a complex equation involving mass, fluid density, buoyancy, and drag, suggesting it relates to net forces rather than gravity itself.
  • Another participant argues that the presence of water does not change the acceleration due to gravity, emphasizing that gravity remains approximately 9.81 m/s² regardless of depth.
  • Some participants discuss the gravitational constant and its distinction from the acceleration due to gravity, noting that changes in gravity due to altitude or depth are minimal.
  • One participant proposes that the change in gravity at extreme depths like the Mariana Trench is negligible compared to the Earth's radius.
  • Another participant mentions that gravity changes linearly with depth inside a solid sphere, while others clarify that the ocean is not a solid sphere.
  • There is a suggestion that the effect of being underwater or at high altitudes on gravity is small, estimated at around 0.2% for significant depths.

Areas of Agreement / Disagreement

Participants express differing views on whether gravity changes underwater and the significance of those changes. While some agree that gravity remains effectively constant, others explore the nuances of how depth and buoyancy affect net forces.

Contextual Notes

Participants reference various factors affecting gravity, including altitude and depth, and discuss the complexities of calculating gravitational effects in different contexts. The discussion highlights the need for careful consideration of definitions and assumptions in gravitational calculations.

  • #31
Charlie Kay said:
which stands for?
m/s2 is meters per second per second

in imperial units, g = 32.2 ft/s2, which is feet per second per second
 

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