Question

Q – The Hubble space telescope is 13.2m long and a mass of 12,246kg. Treat it as asolid cylinder. It uses 4 gyroscopic reaction fly wheels inside very near to the center of the telescopes mass. So assume that they are. Each solid disk flywheel has 45kg mass are 45cm in diameter.

1. Calculate the moment of inertia for the pair of flywheels
2. Calculate the moment of inertia for the telescope
3. A ratio of their moments provides a reaction rate to their turns. So far every radian the telescope rotates, a disk pair must rotate ____?
4. Astronomers need the telescope to turn ϴ = 27.17 to point to its next target. To do this the disks must rotate a total of _____ radians.
5. If the disks max accelerates at a = 1.5 rads/s^2 it should take them _____ seconds to spin up to their max angular velocity of 20 rads/s
6. Upon reaching their maximal angular velocity, the disks have been rotated ____ radians
7. Subtracting out the spin up and down angle from the total, the disks will take _____ seconds to spin the remaining angle
8. The total time to turn the telescope will be ____ seconds

Answer 1

one case of solid cylinder whose moment of inertia knows. Other case of solid disc whose inertia also know