1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksenya-84 [330]
3 years ago
11

A rotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be cr

udely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s^{2} 2 at the rim?
Physics
1 answer:
Grace [21]3 years ago
6 0

Answer: 0.313 rad/s

Explanation:

The equation that relates the velocity V and the angular velocity \omega in the uniform circular motion is:

V=\omega.r   (1)

Where r=d/2=100m is the radius of the space station (with a diaeter of 200m) that describes the uniform circular motion.

Isolating \omega from (1):

\omega=\frac{V}{r}  (2)

On the other hand, we are told the “artificial gravity” produced by the cetripetal acceleration a_{c} is 9.8m/s^{2}, and is given by the following equation:

a_{c}=\frac{V^{2}}{r}   (3)

Isolating V:

V=\sqrt{a_{c}.r}   (4)

V=31.3049m/s   (5)

Substitutinng (5) in (2):

\omega=\frac{31.3049m/s}{100m}  (6)

\omega=0.313rad/s This is the angular velocity that would produce an “artificial gravity” of 9 9.8m/s^{2}.

You might be interested in
Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass m and radius r about an axis perpendicular to the ho
Gala2k [10]
By parallel axis theorem, mr^2 + mr^2 = 2mr^2
3 0
3 years ago
Bài 5: Một electron di chuyển được đoạn đường 1cm, dọc theo một đường sức điện, dưới tác dụng của lực điện trong một điện trường
eimsori [14]

Explanation:

guy thy guy thy guy thy guy thy guy thy

7 0
3 years ago
Two objects have the same velocity. These two objects have different masses. Which object will
kogti [31]

Answer:

The object with the greater mass will have the greater momentum

Explanation:

The momentum of an object with mass <em>m</em>, moving with velocity <em>, </em>is given by the formula

M = <em>mv</em>

<em />

Since both objects have the same velocity <em>v, </em>it is clear that the object with the bigger mass will have the greater momentum

6 0
2 years ago
If you had 6,000 milligrams of rock to move how many kilograms is that?
True [87]

Answer:

0.006

Explanation:

100mg= 0.0001kgghsjsslslkdn d

5 0
3 years ago
Kristine said that an ice cube gains heat when placed in a warm glass of water. Eric said that a hot cup of tea loses heat to co
Sindrei [870]

Answer:

Kristine is correct

Explanation:

this is because when an ice cube is placed into the warm water, it absorbs the heat from the water in order to melt which lowers the water's temperature.

in Eric's case, a hot cup of tea does not lose its heat because of cold hands. it varies depending on the cup whether it is a good insulator or not. also the heat can be lost through the air as well.

7 0
4 years ago
Other questions:
  • What causes the normal ocean waves that continuously crash on the beach?
    13·1 answer
  • A machinist turns the power on to a grinding wheel, which is at rest at time t = 0.00 s. The wheel accelerates uniformly for 10
    9·1 answer
  • Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a hydraulic system. The piston chambe
    8·1 answer
  • Use the equation d=m/v. If a rock has a density of 2g/cm^3 and a volume of 8cm^3, what is the mass?
    12·1 answer
  • A book that weighs 16N is on top of a shelf that is 3m high. What is the work required to
    12·1 answer
  • We can increase the pitch of a sound by
    10·1 answer
  • A student measured the volume of three rocks. The diagram above shows the
    5·1 answer
  • What is the magnitude of a vector that has the following components: x = 32 m y = -59 m
    12·2 answers
  • Focal distance of a concave lens is always:
    15·1 answer
  • A geyser shoots water straight up into the air with a velocity of 28.0 m/s. how
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!