Whenever an object falls, the gravitational force causes the object to increase its speed as it was predicted by Isaac Newton. As the speed of the object gradually increases the force of air drag increases eventually. The air drag force is equal to that of the gravitational force. At that time there is no force which is acted on the object. In this case, if the force is balanced precisely, the object will not speed up further though it will slow down its speed and the falling will be continued in a constant velocity. This is known as the terminal velocity.
As the force of air drag is depended highly on the size of the object and the shape of the object, the objects which have an area of the large surface will have a terminal velocity that is comparatively lower than the objects which have the smaller surface area. The object weight even effects on the force of air drag over the object which results in the terminal velocity.
Three different ways are used to calculate the value for the terminal velocity. They are as follows:
V = the square root of ((2*m*g)/(p*A*C)). The following values are plugged into the formula in case of solving the terminal velocity (v)
In this method there are following steps that are to be followed:
a) Find the mass of the respective object. This is measured in the unit of a gram or else kilograms.
b) Acceleration caused due to the gravity present on the earth.
c) Calculate the gravity's downward force. The force by which the object which is falling is pulled downwards that is equal to the mass time acceleration due to the gravity of the objects. F = MA. This is the number which is multiplied by 2 and this goes on top of the formula of the terminal velocity.
3) Determination of the drag force
In this method there are the following steps that are discussed below:
a) Get the medium density.
b) Estimation of the drag coefficient of the object.
c) Calculation of the area of the object that is projected.
d) Getting the drag force that opposes the downward gravitational pull.
A man is at the height of 2000 m from the ground. What would be his terminal velocity?
Height h = 2000 m,
The terminal velocity formula is given by
V terminal = √2×9.8 ×2000
= 197.98 m/s.
Determine the height of the body if its terminal velocity is 100 m/s.
Terminal velocity V terminal = 100 m/s,
The height is given by
h = v2terminal / 2g
= 10000 / 9.8 x 2
= 510.204 m.
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