Problem 20PE

The terminal velocity of a person falling in air depends upon the weight and the area of the person facing the fluid. Find the terminal velocity (in meters per second and kilometers per hour) of an 80.0-kg skydiver falling in a pike (headfirst) position with a surface area of 0.140 m2

Solution 20PE :

Step 1 of 4:-

The terminal velocity is achieved when the drag force will be equal to the gravitational force.

So, that no acceleration will be there and the object falls with uniform velocity.

It can be written as,

--------------------------(1)

Where is the mass of the object,

is the acceleration due to gravity.

is the density of air,

is the area of projected object,

is the drag coefficient.