Question
A drag force on an object moving through a medium (like a car through air or a submarine through water) is $F_{d}=0.225 \mathrm{ApV}^{2}$. Verify that the unit become newtons.
Step 1
225 \mathrm{ApV}^{2}$, where A is the cross-sectional area, p is the density of the medium, and V is the velocity of the object. Show more…
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A drag force on an object moving through a medium (like a car through air or a submarine through water) is $F_{d}=0.225 A \rho \mathbf{V}^{2}$. Verify that the unit becomes $\mathrm{N}$.
The drag force exerted on a car by air depends on a dimensionless drag coefficient, the density of air, the car velocity, and the frontal area of the car. That is, $F_{D}=F_{D}\left(C_{\text {drag. }}\right.$ $A_{\text {front }} \rho, V$ ). Based on unit considerations alone, obtain a relation for the drag force.
The drag force exerted on a car by air depends on a dimensionless drag coefficient, the density of air, the car velocity, and the frontal area of the car. That is, $F_{D}=$ function $\left(C_{\text {Drag }} A_{\text {front },} \rho, V\right) .$ Based on unit considerations alone, obtain a relation for the drag force.
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