Acceleration of Gravity is one of the most used physical constants - known from

### Newton"s second Law

"Change of movement is proportional come the pressure applied, and also take location along the directly line the force acts."

Newton"s second law because that the gravity force - weight - can be express as

W = Fg

= m ag

= m g (1)

where

W, Fg = weight, gravity pressure (N, lbf)

m = fixed (kg, slugs)

ag = g = acceleration of heaviness (9.81 m/s2, 32.17405 ft/s2)

The pressure caused by gravity - ag - is called weight.

Note!

The acceleration of gravity have the right to be observed by measure the change that velocity pertained to change the time for a cost-free falling object:

ag = dv / dt (2)

where

dv = change in velocity (m/s, ft/s)

dt = change in time (s)

An thing dropped in complimentary air increases to speed 9.81 m/s (32.174 ft/s) in one - 1 - second.

a heavy and a light body near the planet will loss to the earth with the very same acceleration (when neglecting the waiting resistance)

### Acceleration of heaviness in SI Units

1 ag = 1 g = 9.81 m/s2 = 35.30394 (km/h)/s

### Acceleration of heaviness in royal Units

1 ag = 1 g = 32.174 ft/s2 = 386.1 in/s2 = 22 mph/s

### Velocity and also Distance traveled by a cost-free Falling Object

The velocity for a complimentary falling object after some time can be calculate as:

v = ag t (3)

where

v = velocity (m/s)

The street traveled by a complimentary falling object after some time can be expressed as:

s = 1/2 ag t2 (4)

where

s = distance traveled through the object (m)

The velocity and distance travel by a cost-free falling object:

You are watching: Acceleration of gravity in cm/s2

Time (s)VelocityDistancem/skm/hft/smphmft
1 9.8 35.3 32.2 21.9 4.9 16.1
2 19.6 70.6 64.3 43.8 19.6 64.3
3 29.4 106 96.5 65.8 44.1 144.8
4 39.2 141 128.7 87.7 78.5 257.4
5 49.1 177 160.9 110 122.6 402.2
6 58.9 212 193.0 132 176.6 579.1
7 68.7 247 225.2 154 240.3 788.3
8 78.5 283 257.4 176 313.9 1,029.6
9 88.3 318 289.6 198 397.3 1,303.0
10 98.1 353 321.7 219 490.5 1,608.7

Note! Velocities and also distances are accomplished without aerodynamic resistance (vacuum conditions). The waiting resistance - or drag pressure - because that objects at higher velocities can be significant - depending on shape and surface area.

### example - free Falling stone

A stone is dropped indigenous 1470 ft (448 m) - around the height of empire State Building. The time it takes to with the floor (without air resistance) have the right to be calculated by rearranging (4):

t = (2 s / ag)1/2

= (2 (1470 ft) / (32.174 ft/s2 ))1/2

= 9.6 s

The velocity the the stone when it access time the ground deserve to be calculated with (3):

v = (32.174 ft/s2) (9.6 s)

= 308 ft/s

= 210 mph

= 94 m/s

= 338 km/h

example - A sphere Thrown straight Up

A ball is thrown directly up through an early velocity that 25 m/s. The time prior to the round stops and start fallout’s down can be calculated by editing and enhancing (3) to

t = v / ag

= (25 m/s) / (9.81 m/s2)

= 2.55 s

The street traveled by the ball prior to it turns and start falling down have the right to be calculation by making use of (4) as

s = 1/2 (9.81 m/s2) (2.55 s)2

= 31.8 m

### Newton"s an initial Law

"Every body proceeds in a state of remainder or in a uniform motion in a right line, till it is compelled by a force to readjust its state of rest or motion."

### Newton"s third Law

"To every activity there is constantly an equal reaction - if a pressure acts to readjust the state of movement of a body, the body provides a resistance equal and also directly opposite come the force."

### Common Expressions

superimposed loads: kN/m2 mass loads: kg/m2 or kg/m3 stress: N/mm2 bending moment: kNm shear: kN 1 N/mm = 1 kN/m 1 N/mm2 = 103 kN/m2 1 kNm = 106 Nmm

### Latitude and also Acceleration of Gravity

Acceleration of heaviness varies with latitude - examples:

LocationLatitudeAcceleration og Gravity(m/s2)
North Pole 90° 0" 9.8321
Anchorage 61° 10" 9.8218
Greenwich 51° 29" 9.8119
Paris 48° 50" 9.8094
Washington 38° 53" 9.8011
Panama 8° 55" 9.7822
Equator 0° 0" 9.7799

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