- #1
UrbanXrisis
- 1,196
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I need to calculate the radial acceleration of Earth @ the equator
a=v^2/r
a= [1041m/s)^2]/6378m
a= 169.9 m/s^2
is this correct?
a=v^2/r
a= [1041m/s)^2]/6378m
a= 169.9 m/s^2
is this correct?
The formula for calculating the radial acceleration of Earth at the equator is a = v^2 / r, where "a" is the radial acceleration, "v" is the tangential velocity, and "r" is the radius of the Earth at the equator.
The tangential velocity at the equator is calculated by multiplying the angular velocity of Earth (2π radians / 24 hours) by the radius of the Earth at the equator.
The value of the radial acceleration of Earth at the equator is approximately 0.034 m/s^2.
The radial acceleration of Earth at the equator is relatively low compared to other planets due to its large radius and slow rotation. For example, Jupiter has a much larger radial acceleration due to its faster rotation and smaller radius.
The rotation of Earth affects the calculation of its radial acceleration at the equator because it contributes to the tangential velocity, which is a crucial component of the formula for radial acceleration. The faster the rotation, the higher the tangential velocity and therefore the higher the radial acceleration.