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# g (acceleration due to gravity at sea level - SI units)

vCalc.g (acceleration due to gravity at sea level - SI units)

**Acceleration due to Gravity (g)** at sea level on Earth is 9.80665 m/s^{2}.

The formula to compute the acceleration due to gravity is:

`g = G*m_e*m/R_E^2`

Where:

- g is the acceleration due to gravity.
- G is the Universal Gravitational Constant (G)
- M is the mass of the object (e.g. planet)
- R is the distance to the center of mass of the object.

### The effect of location (Latitude)

The earth is not a perfect sphere, because of the effect of the Earth's rotation and the resulting centrifugal force has caused the Earth to have a bulge around the equator. The Earth's rotation and the resultant centrifugal force (heading outward) counteracts the effect of gravity (downward). This has a measurable effect in the apparent acceleration due to gravity at different latitudes. A good approximation of the total effect is modeled in the International Gravity Formula below. To indicate the ascension or decline from the equator, latitude (φ) can be used.

The International Gravity Formula, `g(phi) = 9.7803267714*( (1+ 0.00193185138639*sin^2(phi))/sqrt(1- 0.00669437999013* sin^2(phi)))`

### The effect of location (Altitude)

Altitude also has an effect on the apparent acceleration due to gravity because of the increased distance from the center of mass. The following equation approximates the acceleration due to gravity as affected by altitude (**h**):

Acceleration due to gravity at different altitudes: `g(h) = g(r_e/(r_e + h))`

**g (acceleration due to gravity at sea level - SI units)**, is used in 5 calculators and 52 equations/constants.

**Equations and Constants **

- `|FA| = mgsin(theta)`
- acceleration of projectile motion (Earth)
- Angular Frequency of Pendulum
- Angular Frequency of Pendulum (Any gravity)
- Angular Frequency of Physical Pendulum
- Apparent Weight at the Equator
- Ballistic Projectile Displacement - y(t,`theta`, `v_0`)
- Ballistic Projectile Displacement - y(x, `theta`, `v_0`)
- Ballistic Range (Earth gravity)
- Ballistic Y Position
- Ballistic Y Velocity
- Barometric Formula (Troposphere)
- Bernoulli Equation (Elevation)
- Bernoulli Equation (pressure)
- Bernoulli Equation (Velocity)
- Force of Friction (incline)
- Free Fall (distance)
- Free Fall (time)
- Frequency of Pendulum
- Gram-to-Newton
- psi-to-`"ft"_"H2O"`
- Restoring Force on Pendulum (Approximation)
- Restoring Torque on Physical Pendulum
- Specific Weight of Water (SI) at STP
- Terminal Velocity
- Undamped Natural Circular Frequency
- Vertical Velocity
- Work of Gravity
- Absolute Pressure
- Actual Head Rise of a Pump or Fan
- Ballistic Position (X,Y)
- Braking Distance
- Broad Crested Weir
- Broom Handle Force
- Force of Friction (banked surface)
- Free Fall (Velocity at Impact)
- Gravity Acceleration by Altitude
- Head of a pump
- Hydrostatic Equation (dry air approximation)
- Max Turning Velocity on a Banked Curve
- Max Turning Velocity on a Flat Curve
- Max Velocity
- Period of Pendulum
- Push a Broom (ax)
- Pushing a Broom (a)
- Restoring Force on Pendulum
- Restoring Force on Pendulum (Approximation)
- Restoring Torque on Physical Pendulum
- Rock Climbing Fall Impact Force
- Rotational Acceleration of a Physical Pendulum
- Speed from Braking Distance
- Underwater Pressure
- more...

**g (acceleration due to gravity at sea level - SI units)**, is listed in 2 Collections.