Terminal Velocity of a Coffee Filter#

In one of the PHYS 111 labs Mateo measured the terminal velocity \(v_T\) of a coffee filter of mass \(m\) falling through the air. In equilibrium, the drag force acting on the coffee filter exactly balances the gravitational force on the filter such that:

\(bv_T = mg\)

where \(b\) is a “drag coefficient” determined by the shape of the filter and the density of the air.

Suppose that the following six measurements of a coffee filter’s terminal velocity were made:

Trial

\(v_T\) (\(m/s\))

1

0.76

2

0.9

3

0.85

4

0.71

5

0.86

6

0.88

The standard deviation of this data set is 0.068 \(m/s\).

Part 1#

Use the experimental data to determine the uncertainty in the average value of the terminal velocity. State your answer using the appropriate number of significant figures.

Answer Section#

Please enter in a numeric value in \(m/s\).

Part 2#

Use the experimental data to determine the average value of the terminal velocity. State your answer using the appropriate number of significant figures.

Answer Section#

Please enter in a numeric value in \(m/s\).

Part 3#

If the coffee filter has a mass of \(m = \) 2 \(\pm\) 52 \(g\), determine the value of the uncertainty in the drag coefficient \(b\). State your answer using the appropriate number of significant figures. Assume that \(g= 9.81 kg/s\) and has negligible uncertainty.

Answer Section#

Please enter in a numeric value in \(kg/s\).

Part 4#

If the coffee filter has a mass of \(m = \) 2 \(\pm\) 52 \(g\), determine the value of the drag coefficient \(b\). State your answer using the appropriate number of significant figures. Assume that \(g= 9.81 kg/s\) and has negligible uncertainty.

Answer Section#

Please enter in a numeric value in \(kg/s\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.