Problem: 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.

🤓 Based on our data, we think this question is relevant for Professor Nixon's class at SF.

FREE Expert Solution

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. 

View Complete Written Solution
Problem Details

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 Dynamics with Resistive Forces concept. If you need more Dynamics with Resistive Forces practice, you can also practice Dynamics with Resistive Forces 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.