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Air Resistance: A simple model for air resistance estimates the force on an object due to air resistance as: \begin{equation} F = \frac{1}{2}C\rho_{air}v^2A \end{equation} (5) Here, $C$ is the drag coefficient (0.47 for a sphere), $\rho_{air}$ is the density of air (which you can look up), $v$ is the velocity of the object (relative to the air), and $A$ is the cross-sectional area of the object. By contrast, the gravitational force on the ball is $F = mg$. Compare these two forces, making reasonable estimate for $m$ and $A$ and using a typical value for $v$ based on your data: how relevant is air resistance as a systemic error in this lab?

          Air Resistance: A simple model for air resistance estimates the force on an object due to air resistance as:
\begin{equation}
F = \frac{1}{2}C\rho_{air}v^2A
\end{equation}
(5)
Here, $C$ is the drag coefficient (0.47 for a sphere), $\rho_{air}$ is the density of air (which you can look up), $v$ is the velocity of the
object (relative to the air), and $A$ is the cross-sectional area of the object. By contrast, the gravitational force on the ball is
$F = mg$. Compare these two forces, making reasonable estimate for $m$ and $A$ and using a typical value for $v$ based on your
data: how relevant is air resistance as a systemic error in this lab?

Show more…

Air Resistance: A simple model for air resistance estimates the force on an object due to air resistance as:

F = (1)/(2)Cρairv^2A

(5)
Here, C is the drag coefficient (0.47 for a sphere), ρair is the density of air (which you can look up), v is the velocity of the
object (relative to the air), and A is the cross-sectional area of the object. By contrast, the gravitational force on the ball is
F = mg. Compare these two forces, making reasonable estimate for m and A and using a typical value for v based on your
data: how relevant is air resistance as a systemic error in this lab?

Added by Milagros S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Krystal K

Step 1

The force due to air resistance is given by F_air = C_pairv^2A, where C_pair is the drag coefficient, v is the velocity of the object, and A is the cross-sectional area of the object. The gravitational force is given by F_gravity = mg, where m is the mass of the Show more…

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I did an experiment with projectile motion in the lab, and I have to write about the error analysis of how air resistance would affect g. Please explain in words and solve it. I know it will affect in the x direction, but I do not understand how to put it into words. Air Resistance: A simple model for air resistance estimates the force on an object due to air resistance as: F = Cpairv^2A (5) Here, C is the drag coefficient (0.47 for a sphere), Pair is the density of air (which you can look up), v is the velocity of the object (relative to the air), and A is the cross-sectional area of the object. By contrast, the gravitational force on the ball is F = mg. Compare these two forces, making a reasonable estimate for m and A and using a typical value for v based on your data: how relevant is air resistance as a systemic error in this lab?

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