**Title:** Designing a Space Station for Orbit: A NASA Internship Project**Introduction:**As part of a summer internship at NASA, you are tasked with contributing to the design of a new space station intended for Earth orbit. The central feature of this station is a large ring structure.**Space Station Design:**- **Mass**: 51,500 kg- **Shape**: Hollow ring- **Radius**: 120 mThe space station is designed in the form of a hollow ring with the supporting structures having negligible mass. The internal track where the crew walks is located on the inside surface of the ring's cylindrical wall. The ring's thickness is minimal, allowing it to be modeled as a hoop.**Objective:**Upon deployment, the ring must rotate around its central axis, allowing occupants to experience a centrifugal force equivalent to Earth's gravitational pull (g).**Mechanism for Rotation:**- Rotation is initiated via two small rockets.- These rockets are mounted at opposite points on the ring's perimeter.- Each rocket provides a thrust of 135 N.**Supervisor's Task:**You are required to calculate:(a) The duration (in hours) for which the rockets must be fired to achieve the desired rotational speed.(b) The rotation period (in seconds) of the space station upon reaching this target speed.**Calculations:**(a) Determine the firing duration for each rocket (135 N thrust) required to reach the target speed.- ________________ hr(b) Compute the period of rotation of the space station in its operational state.- ________________ s**Diagram Explanation:**The accompanying diagram illustrates the ring structure, highlighting the orientation and placement of the rockets needed to achieve the desired rotation.

Given that,a hollow ring of mass M = 51500 kgradius r = 120 mIf each exerts a thrust of 135 N, then find (a )Determine the time interval (in hr) during the rockets must be fired if each exerts a thrust of 135 N.(b)Determine the period of rotation of the space station ( in s). Write the expression of the centrifugal acceleration, and solve for the rotational speed of the space station. The people inside the space station experience the acceleration of the free-fall, which is the acceleration due to gravity.(a) Write the expression of the relation between the torque and the angular acceleration, and solve for the angular acceleration of the space station.(b) The period of the rotation of the space station can be calculated as,(a)Determine the time interval (in hr) during the rockets must be fired if each exerts a thrust of 135 N.Answer (a) t = 1.8181 hr(b) Determine the period of rotation of the space station ( in s).Answer (b) 21.97 s