Solid Rocket Mass Flow Rate (20 pts) Consider a solid fuel sounding rocket whose case is 5 meters long (ignoring the nosecone and nozzle). The casing has an inner diameter of 67cm, and the propellant cavity has a circular cross section with an initial diameter of 20cm. The propellant grain is a solid cylinder, minus this central cylinder cavity, for the whole height of the rocket casing. Given a propellant density of p=1.7g/cm3 and a burn time of 60 seconds: - (2pts) Find the average surface recession rate r, making sure to specify your units. Assume that the recession rate is constant through the whole burn. - (10pts) Find the initial and final mass flow rates. - (5pts) Plot the mass flow rate as a function of time, at 10 -second intervals, using a style that shows the separate points on the plot in addition to a line. - (3pts) Given a specific impulse of 190 s, find the thrust at burnout. Hints: - Be careful of the unit conversion for the propellant density to SI base units. - Be sure to use ge=9.81m/s2. - This assignment in particular is sensitive to rounding your values too early. Keep the full precision of your math in the variables in Matlab, and then round at the end