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Definition: DRAG FORCE. Drag Force \(F_D\) is found to be proportional to the square of the speed of the object. Mathematically \[F_D\propto v^2 \] \[F_D = \dfrac{1}{2} C_{\rho} Av^2, \] where \(C\) is the drag coefficient \(A\) is the area of the object facing the fluid, and \(\rho\) is the density of the fluid.
Power is defined as $P = F \cdot v$ where $F$ is the driving force and $v$ is the velocity of the moving object. In this case, determine the values of both $F$ and $v$, and use this to calculate the power.
Drag force can be calculated using the following equation: \ ( F_d = \frac {1} {2} \cdot \rho \cdot v^2 \cdot C_d \cdot A \) Where: F_d is the drag force (in newtons). ρ is the fluid density (in kg/m³). v is the velocity of the object relative to the fluid (in m/s).
Express the drag force mathematically; Describe applications of the drag force; Define terminal velocity; Determine an object’s terminal velocity given its mass
The drag force depends the density of the fluid (ρ), the maximum cross-sectional area of the object(), and the drag coefficient (), which accounts for the shape of the object. Objects with a low drag coefficient are often referred to as having an aerodynamic or streamlined shape.
Drag force FD F D is proportional to the square of the speed of the object. Mathematically, FD = 1 2CρAv2, (6.7.2) (6.7.2) F D = 1 2 C ρ A v 2, where C C is the drag coefficient, A A is the area of the object facing the fluid, and ρ ρ is the density of the fluid.
The drag force, F D, can be expressed in terms of a drag coefficient, C D, the effective body area, A, normal to the flow, and the dynamic pressure, (rU 2 /2): F D = C D A(rU 2 /2). This expression indicates that the drag on a given body increases as the square of its speed with respect to the fluid, as shown in the diagram.
