Please show your calculations and the numbers you used for the Earth's mass, etc. Without seeing your calculations and numbers, I don't think we can be of much help. Thanks.Sphere said:
That says it is at a latitude of 45 deg. It accounts for the centrifugal acceleration at that latitude. The radius of the Earth (distance to the center of the Earth) is not what you want to use [EDIT] for the calculation of the centrifugal force. You want to find the perpendicular distance to the axis of rotation of the Earth. The shape of the Earth is complicated (see WGS 84 ellipsoid).Filip Larsen said:
Yes. A careful experimentalist can measure the difference in ##g## over a few meters altitude using only a pendulum. I made a measurement in undergrad labs that was theoretically precise enough to care about my altitude above sea level.FactChecker said:
I know that there are maps of the gravity at locations on the Earth. I have never used them. I assume that they are accurate for the ground altitude at each location, but I do not know that for sure.Ibix said:
Perhaps that's a measured value. That obviates the need for calculation.Sphere said:
As far as I am aware, it is (now) a defined value with an exact value: https://physics.nist.gov/cgi-bin/cuu/Value?gnPeroK said:
"Station" at NBS/NIST, Boulder, Bldg. 2(?), NW corner in the "back" hallway; may still be there and certified current, or not. This was pre-Sumatra, https://www.jpl.nasa.gov/news/nasa-details-earthquake-effects-on-the-earth .FactChecker said:
The standard acceleration due to Earth's gravity, commonly denoted as g, is the acceleration experienced by a freely falling object near the Earth's surface. It is approximately equal to 9.8 meters per second squared (m/s²).
The value of g is determined by measuring the acceleration of a freely falling object near the Earth's surface. This can be done using various methods, such as dropping a ball from a known height and measuring the time it takes to reach the ground, or using specialized equipment such as accelerometers.
Yes, the value of g can vary slightly on different parts of Earth due to factors such as altitude, latitude, and local geology. However, these variations are very small and the standard value of 9.8 m/s² is used for most calculations.
The value of g affects objects on Earth by determining their weight and the force of gravity acting on them. This is why objects feel lighter on the Moon, where the value of g is only 1/6 of that on Earth.
The value of g can change over time due to various factors, such as changes in the Earth's mass or rotation, or external forces like tides or atmospheric pressure. However, these changes are very small and do not significantly affect the standard value of 9.8 m/s².