F - kg•m/s2
v - m/s
A - m2
D - kg/m3
X - dimensionless
Streamlining objects aims at reducing the cross-sectional area. Therefore, if we increase the cross-sectional area, the friction force should increase. Thus, A is directly proportional to F.
George is trying to determine the effect of air resistance on his automobile. He finds that force (F) in newtons (a newton being kg⋅m/s2), depends on the speed at which his car travels (V), in m/s, the air surface area (A) of his car's front, in m2, the density of the air around his car (D), in kg/m3 and a unitless friction coefficient (χ). The friction coefficient is similar to that used in determining the force due to kinetic friction.
Using the information provided above, determine the simplest expression that George can use to determine the force of air resistance, F, on his car that is dimensionally correct.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Drag Force & Terminal Velocity concept. If you need more Drag Force & Terminal Velocity practice, you can also practice Drag Force & Terminal Velocity practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Nixon's class at SF.