A parachute of an open diameter of 4.4 m. Determine the drag coefficient of the parachute if th

step 1 We want to find C sub D when the diameter is 4 .4 in velocity is 10 meters per second. Mass time

A parachute of an open diameter of 4.4 m. Determine the...

A parachute of an open diameter of $4.4 \mathrm{~m}$. Determine the drag coefficient of the parachute if the terminal velocity as the man parachutes downward at the air temperature of $20^{\circ} \mathrm{C}$ is $10 \mathrm{~m} / \mathrm{s}$. The total mass of the parachute and man is $100 \mathrm{~kg}$. Neglect the drag on the man.

Key Concepts

Equilibrium of Forces

The equilibrium of forces concept, particularly relevant at terminal velocity, involves balancing the gravitational force against the drag force. At this point, the net force on the falling object is zero, which is essential for analyzing motion in a fluid and determining key parameters like the drag coefficient.

Reference Area

The reference area is the characteristic area used in the drag force equation, representing the projected or frontal area of the object facing the flow. It is crucial in quantifying the drag force, as it helps determine how much of the fluid comes in contact with the object.

Drag Force Equation

The drag force equation, typically expressed as F_d = 1/2 * ? * v^2 * C_d * A, is fundamental in fluid dynamics. It relates the drag force on an object to the air density, the square of its velocity, the drag coefficient, and the reference area, and is instrumental in calculating forces on bodies moving through a fluid.

Drag Coefficient

The drag coefficient is a dimensionless number that quantifies the drag or resistance of an object in a fluid environment, such as air. It relates the drag force experienced by the object to the dynamic pressure and reference area, thereby allowing comparison of the aerodynamic efficiency of different shapes and configurations.

Terminal Velocity

Terminal velocity refers to the constant speed that a freely falling object eventually reaches when the drag force opposing its fall equals the gravitational force, resulting in zero net acceleration. It is a key concept in understanding the motion of objects through a fluid medium, where drag becomes significant.

Transcript

Please give Ace some feedback