Purpose:
One purpose of this lab is to explore the concepts and mathematics associated with circular motion. In particular, an understanding of centripetal acceleration and centripetal forces will be needed. The other principle purpose of this lab is to explore the process of using physics within a set of design constraints. This replicates, in a very simplified fashion, the use of science in the bulk of commercial and industrial situations.
Procedure:
For this lab you will need pencil, paper, creativity, and your minds. It would also be helpful to understand something about circular motion and the forces associated with it. You will design a space colony in the "trash can" style that satisfies the following constraints:
LAB DELIVERABLES:
I) Show a clear sketch of your design. You may do a group drawing and copy it for each individual lab report. Be sure to indicate all relevant dimensions and where the living surface is that meets all of the constraints of the problem.
II) Include your Assessment sheet after your design documents.
III) Describe the process by which you arrived at your design. This discussion should clearly indicate how you satisfied each design constraint. Also present your calculations that show that the accelerations due to motion around the earth are negligable in your design.
IV) Consider the following experience a resident might have (skills validation). Suppose you "drop" a ball which you are holding stationary in front of you. Consider the forces on the ball and describe its motion after you release it. Calculate the "drop" time for the ball and compare it to the drop time here on earth. You will need to do some geometric thinking here. Present your analysis clearly.
V) Starting from this Maple Worksheet generate a plot which illustrates the behavior of a "dropped" ball in your space station. Use the design solutions that you generated as a part of the lab and explain the meaning and relevant features of the plot in your own words.