Purpose: Develop a pump curve and determine if it follows affinity scaling laws. Practice communicating uncertainty visually using error bars.

Task: Working individually, answer the questions below writing your calculations by hand. If a calculation is performed multiple times, you only need to write out your calculations once. Scan your answers and upload a single pdf by the assignment deadline shown.

$1.$ Organize your data in a table. This can be handwritten or computer generated. Attach your raw datasheet to your homework.

$2.$ For each gate opening, calculate the velocity at the inlet and outlet and the error associated with this calculation.

$3.$ Use the operating temperature and a look$-$up table or Google to find the specific weight of water. This value has no associated error.

$4.$ Calculate total head $($Ht$)$ using equation $(1)$ in the lab handout for each gate opening and the error associated with this calculation.

$5.$ Plot the pump curve $($Q on the x axis and Ht on the y axis$).$ Plot both rotation rates on the same plot as separate data series.

$6.$ For the case when the gate is fully open $($Gate Opening $9),$ determine if the pump follows the affinity scaling laws derived from the flow coefficient and the head coefficient. You do not need to determine the error in these calculations. Write $1-2$ sentences explaining whether the laws apply to your pump data.

Suggestions for Success

$1.$ Make sure your tables are neat, organized, and all columns include labels with units. All figures should include a title, caption, and axis labels with units $($if not dimensionless$).$ Include a legend if multiple symbols or line types are used in the plot. Plot experimental data as discrete points and theoretical equations as smooth lines.

$2.$ Refer to Laboratory Reading $11$ Download Laboratory Reading $11$for equations and concepts.

$3.$ Include units with all numbers reported, unless they are dimensionless.

$4.$ Include associated errors with all numbers reported $($including in your table$).$ Follow the guidelines in Lab Reading $1$ Download Lab Reading $1$ Preview the documentregarding significant figures.

$5.$ Double check that your scanned file is legible and the file is not corrupted after you upload. Upload early in case you have problems, being aware that the deadline is different for each lab section.