Hi, can you help me respond to each part of the problem by using physics concepts or formulas? Please also provide a response to each prompt as well as all of the necessary math/formula/conceptual steps so that I can check my own work. This question may involve Force Body Diagrams, Force Balance Equations, Acceleration, Kinetic/Static Friction, Kinetic Energy, Rotational Kinetic Energy, Torque, Conservation of Mechanical Energy, Moment of Inertia, or other Physics concepts.

(Please no reposts!) There is no missing information, all necessary information may be obtained via research on the internet.

Practice Problem: Reaction Wheels How do satellites change their orientation? This is a requirement of most satellites and spacecraft. For example, a space telescope needs to point to its targets with high precision. Firing bursts from small rocket engines is far too crude for the task. Most spacecraft contain reaction wheels, also known as momentum wheels. They are ywheels with electric motors to spin up or slow down their rotation. When a wheel spins up in one direction, the spacecraft spins in the opposite direction. The Hubble Space Telescope is a tube 132m long with a mass of 11,100 kg. It has a reaction wheel that has a radius of 20 cm and a mass of 45 kg. The telescope turns at a maximum rate of 6 per minute (very slow). (a) Where do you ideally place the reaction wheel for maximum effect? Why? (b) How fast do you need to spin the reaction wheel to turn the telescope at its maximum rate? (c) (Optional) How many reaction wheels do you need to turn in any direction