A space station is designed to be operated outside of the Earth's gravitational field. The structure...
You have designed a space station that rotates on its axis in order to produce " artificial gravity." The space station has tree levels consisting of rings connected to spokes that rotate about a single axis as shown in the figure. The outer ring has a radius of 245 m. a. what must the angular velocity of the space station be to simulate the acceleration due to gravity on Earth's surface on the outer ring of the space station? b....
After a space station is constructed, it is spun up from rest, using rockets attached tangentially to the outside hull, in order to simulate earth gravity for the occupants inside, shown in the figure. We can model the station as a hoop that rotates around its axis, and ignore the rest of the structure for the moment of inertia. The mass of the station is m = 50,000 kg, the outer radius is r = 100 m. a) The two...
Parallel Axis Theorem: I = ICM + Md Kinetic Energy: K = 2m202 Gravitational Potential Energy: AU = mgay Conservation of Mechanical Energy: 2 mv2 + u = žmo+ U Rotational Work: W = TO Rotational Power: P = TO Are Length (angle in radians, where 360º = 2a radians): S = re = wt (in general, not limited to constant acceleration) Tangential & angular speeds: V = ro Frequency & Period: Work-Energy Theorem (rotational): Weet = {102 - 10...
Please help answer all of question 6, thanks! Rotational Dynamics Assignment (200 Points) • Due Friday, July 31 at 5:00 pm Equations are in a separate document entitled “Equations for Rotational Dynamics Assignment” • Moments of inertia formulas are provided on the last page of this document • Show all of your work when solving equations. It is not sufficient to merely have a correct numerical answer. You need to have used legitimate equations and algebra. You also need to...
2. A bar on a hinge starts from rest and rotates with an angular acceleration α (10 + 61), where α is in rad/s" and 1 is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s. 4. A dentist's drll starts from rest. After 3.20 s of constant an- gular acceleration, it turns at a rate of 2.51 × 104 rev/min. (a) Find the drill's angular acceleration. (b) Determine the angle (in...
Rotational Dynamics Assignment (200 Points) • Due Friday, July 31 at 5:00 pm Equations are in a separate document entitled “Equations for Rotational Dynamics Assignment” • Moments of inertia formulas are provided on the last page of this document • Show all of your work when solving equations. It is not sufficient to merely have a correct numerical answer. You need to have used legitimate equations and algebra. You also need to have correctly used the data. • Units must...