A space station has a moment of inertia of I=2.7×10^7 kg m^2 about its center of mass, and a center of light pressure located a distance of d=1.5 m from the center of mass. Its solar panels have an area of 1.2×10^3 m^2.
a) Assume the panels have an albedo of 1. Calculate the maximum pressure of sunlight on the panels.
b) Calculate the maximum force that sunlight exerts on the panels.
c) Calculate the maximum torque that sunlight exerts on the space station.
d) At maximum torque, calculate the amount of time it takes (in hours) to rotate the space station through an angle of 3°.
