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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