The IMAGE satellite's construction involves a number of different instruments. These instruments are analyzed to determine the dimensions that will provide the most efficient satellite while minimizing the weight and cost.
In order to help you understand the possible factors involved in the dimensions, mass and cost; complete the following activities.
1. Calculate the dimensions of the following instruments and spacecraft components:
2. When the dimensions of the satellite are doubled, by what factor is the size increased? What factor is the increase when the dimensions are tripled and quadrupled?
3. Is there any noticeable connection between two or more of these factors of increase?
4. The mass of the IMAGE satellite increases proportional to the volume. If the dimensions are doubled, the mass increases by the cube of the factor or 2x2x2=8. The mass of the satellite is 66.1 kg. Determine the mass increase when the dimensions are doubled, tripled and quadrupled.
5. The cost of the satellite also increases proportional to the mass. The cost for the original dimensions is $28.4 million. What is the cost for each of the various increases?
6. In your own words, please write the process 'involved in determining the dimensions, mass and cost of the IMAGE satellite. Why would a scientist want a 'bigger' satellite?