A space station is constructed in the shape of a wheel 22 m in diameter, with essentially all its mass (5.0 x 10 kg) at the R rim. Once the space station is completed, it is set rotating at a rate such that an object at the rim experiences a centripetal acceleration equal to the Earth's gravitational acceleration g, thus simulating Earth's gravity. To accomplish this, two small rockets are attached on opposite sides of the rim, each able to provide 100 N of thrust (force). a) What is the final angular velocity of the space station to simulate earth's gravity at the rim? b) What is the net torque from the rocket engines on the space station relative to the rotational axis (at the center of the wheel)? c) What is the angular acceleration of the space station while the rockets are firing? d) How long will it take to reach the desired rotation rate? e) How many revolutions will the space station make as it speeds up to the desired rotation rate? f) How much work was done?Make Simplifying assumptions; identify models used 1) Pictorial representation 2) Graphical representation Simplifying assumptions were not stated Models used were not identified 0 No pictorial representation 0 No graphical representation Only 1 simplifying assumption stated Assumptions are incomplete, irrelevant, or incorrect Models are used or implied, but not explicitly stated 0 Some flaws in one or more reps c There is a sketch but it only shows one point in time. o No coordinate axis shown 0 Only some of the variables used in the solution are explicitly dened. a A complete and relevant list of simplifying assumptions 0 Models used are explicitly stated a Nice sketch andfor graphic of some sort that W a List the given variables {those allowed in your answer) For energy Label your choice where Us = 0 Label any initial, nal positions Partially meets expectations SOLVE BLOCK Did not meet expectations Meets or exceeds expectations (0 points) (1 pt) (2 pts) Mathematical representation Correct symbolic solution obtained Relevant physics used to find defined symbolic solutions first. Did not attempt to solve the . If numerical answer required, units . A numeric solution are included and correct Numerical answers found problem mathematically attempted/found later if required. . Words or phrases are used to let the grader know what is going on.Partially meets expectations Meets or exceeds expectations ASSESS BLOCK Did not meet expectations (0 points) (1 pt) (2 pts) . Checked units - wrote units for Did not check units, sign or sig . Checked units, sign and Does the answer make every number, showed when units figs magnitude. sense? Correct units? cancel or become squared etc. Correct sign? Reasonable Did not check if answer makes . Checked if answer makes sense magnitude? . Did not check if answer makes sense . Consider limits and extreme cases sense