Variation of Acceleration on Surface of Earth due to Gravity Effect Solution

STEP 0: Pre-Calculation Summary
Formula Used
Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-([Earth-R]*Angular Velocity)/Acceleration due to Gravity)
gv = g*(1-([Earth-R]*ω)/g)
This formula uses 1 Constants, 3 Variables
Constants Used
[Earth-R] - Earth mean radius Value Taken As 6371.0088
Variables Used
Variation of Acceleration due to Gravity - (Measured in Meter per Square Second) - Variation of acceleration due to gravity is inversely proportional to the square of the radius of the earth, it varies with latitude due to the shape of the earth.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
STEP 1: Convert Input(s) to Base Unit
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angular Velocity: 2E-09 Radian per Second --> 2E-09 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gv = g*(1-([Earth-R]*ω)/g) --> 9.8*(1-([Earth-R]*2E-09)/9.8)
Evaluating ... ...
gv = 9.7872579824
STEP 3: Convert Result to Output's Unit
9.7872579824 Meter per Square Second --> No Conversion Required
FINAL ANSWER
9.7872579824 9.787258 Meter per Square Second <-- Variation of Acceleration due to Gravity
(Calculation completed in 00.020 seconds)

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3 Variation of Acceleration due to Gravity Calculators

Variation of Acceleration on Surface of Earth due to Gravity Effect
Go Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-([Earth-R]*Angular Velocity)/Acceleration due to Gravity)
Variation of Acceleration due to Gravity on Altitude
Go Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-(2*Altitude for Acceleration)/[Earth-R])
Variation of Acceleration due to Gravity on Depth
Go Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-Depth/[Earth-R])

Variation of Acceleration on Surface of Earth due to Gravity Effect Formula

Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-([Earth-R]*Angular Velocity)/Acceleration due to Gravity)
gv = g*(1-([Earth-R]*ω)/g)

What is acceleration due to gravity ?

Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s2. It has both magnitude and direction, hence, it’s a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s2.

How is acceleration due to gravity varies on the surface of the earth ?

The equatorial radius is about 21km longer than its polar radius. We know that, g =GMe/ Re2. Hence gpole > gequator.

How to Calculate Variation of Acceleration on Surface of Earth due to Gravity Effect?

Variation of Acceleration on Surface of Earth due to Gravity Effect calculator uses Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-([Earth-R]*Angular Velocity)/Acceleration due to Gravity) to calculate the Variation of Acceleration due to Gravity, Variation of Acceleration on Surface of Earth due to Gravity Effect differs with latitude due to the shape of the earth. As the earth is an oblate spheroid, its radius near the equator is more than its radius near poles. Since for a source mass, the acceleration due to gravity is inversely proportional to the square of the radius of the earth. Variation of Acceleration due to Gravity is denoted by gv symbol.

How to calculate Variation of Acceleration on Surface of Earth due to Gravity Effect using this online calculator? To use this online calculator for Variation of Acceleration on Surface of Earth due to Gravity Effect, enter Acceleration due to Gravity (g) & Angular Velocity (ω) and hit the calculate button. Here is how the Variation of Acceleration on Surface of Earth due to Gravity Effect calculation can be explained with given input values -> -127410.376 = 9.8*(1-([Earth-R]*2E-09)/9.8).

FAQ

What is Variation of Acceleration on Surface of Earth due to Gravity Effect?
Variation of Acceleration on Surface of Earth due to Gravity Effect differs with latitude due to the shape of the earth. As the earth is an oblate spheroid, its radius near the equator is more than its radius near poles. Since for a source mass, the acceleration due to gravity is inversely proportional to the square of the radius of the earth and is represented as gv = g*(1-([Earth-R]*ω)/g) or Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-([Earth-R]*Angular Velocity)/Acceleration due to Gravity). Acceleration due to Gravity is acceleration gained by an object because of gravitational force & The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
How to calculate Variation of Acceleration on Surface of Earth due to Gravity Effect?
Variation of Acceleration on Surface of Earth due to Gravity Effect differs with latitude due to the shape of the earth. As the earth is an oblate spheroid, its radius near the equator is more than its radius near poles. Since for a source mass, the acceleration due to gravity is inversely proportional to the square of the radius of the earth is calculated using Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-([Earth-R]*Angular Velocity)/Acceleration due to Gravity). To calculate Variation of Acceleration on Surface of Earth due to Gravity Effect, you need Acceleration due to Gravity (g) & Angular Velocity (ω). With our tool, you need to enter the respective value for Acceleration due to Gravity & Angular Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Variation of Acceleration due to Gravity?
In this formula, Variation of Acceleration due to Gravity uses Acceleration due to Gravity & Angular Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-Depth/[Earth-R])
  • Variation of Acceleration due to Gravity = Acceleration due to Gravity*(1-(2*Altitude for Acceleration)/[Earth-R])
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