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
mash [69]
3 years ago
15

A space station shaped like a giant wheel has a radius of a radius of 153 m and a moment of inertia of 4.16 × 10⁸ kg·m² (when it

is unmanned). A crew of 150 live on the rim, and the station is rotating so that the crew experience an apparent acceleration of 1g. When 100 people move to the center of the station, the angular speed changes. What apparent acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg. m/s².
Physics
1 answer:
Naya [18.7K]3 years ago
4 0

Answer:

a = 1.709g

Explanation:

Given the absence of external forces being applied in the space station, it is possibly to use the Principle of Angular Momentum Conservation, which states that:

I_{o} \cdot \omega_{o} = I_{f} \cdot \omega_{f}

The required initial angular speed is obtained herein:

g= \omega_{o}^{2}\cdot R_{ss}

\omega_{o}=\sqrt{\frac{g}{R_{ss}} }

\omega_{o}= \sqrt{\frac{9.807\,\frac{m}{s^{2}} }{153\,m} }

\omega_{o} \approx 0.253\,\frac{rad}{s}

The initial moment of inertia is:

I_{o} =I_{ss}+n\cdot m_{person}\cdot R_{ss}^{2}

I_{o} = 4.16\times 10^{8}\,kg\cdot m^{2}+(150)\cdot (65\,kg)\cdot (153\,m)^{2}

I_{o} = 6.442\times 10^{8}\,kg\cdot m^{2}

The final moment of inertia is:

I_{f} =I_{ss}+n\cdot m_{person}\cdot R_{ss}^{2}

I_{f} = 4.16\times 10^{8}\,kg\cdot m^{2}+(50)\cdot (65\,kg)\cdot (153\,m)^{2}

I_{f} = 4.921\times 10^{8}\,kg\cdot m^{2}

Now, the final angular speed is obtained:

\omega_{f} = \frac{I_{o}}{I_{f}}\cdot \omega_{o}

\omega_{f} = \frac{6.442\times 10^{8}\,{kg\cdot m^{2}}}{4.921\times 10^{8}\,kg\cdot m^{2}} \cdot (0.253\,\frac{rad}{s} )

\omega_{f} = 0.331\,\frac{rad}{s^}

The apparent acceleration is:

a_{f} = \omega_{f}^{2}\cdot R_{ss}

a_{f} = (0.331\,\frac{rad}{s} )^{2}\cdot (153\,m)

a_{f} = 16.763\,\frac{m}{s^{2}}

This is approximately 1.709g.

You might be interested in
Kamir and Alexis are studying the properties of water. They conducted a variety of experiments to determine its physical and che
solniwko [45]

The answer is D) neutral water reacts with carbon dioxide to form an acid solution

4 0
3 years ago
Read 2 more answers
A car is stopped at a red light. When the light turns green, the car starts
Darina [25.2K]

Answer:

See the explanation below

Explanation:

This happens because the coffee was at rest, at the time when the car accelerates to move forward the container containing the coffee also accelerates in the same direction, the liquid when moving suddenly spills. The same will happen if the car slows down, any sudden movement changes will cause the coffee to spill, understood by sudden movements when it accelerates or slows down.

3 0
3 years ago
Read 2 more answers
An eagle flew for 3 hours at 115 km/h and 5 hours at 136 km/h. How far did the eagle fly?
Yanka [14]

Answer:

the eagle flew 1,025 km

Explanation:

since the eagle flew for 3 hours at 115 km/h it flew a total of 345 km during that time. During the 5 hours at 136 km/h the eagle flew a total of 680 km.

3 0
3 years ago
WHOEVER RESPONDS TO THIS FIRST WILL GET BRAINIEST!!!!!!
postnew [5]

Answer:

alright i responded

Explanation:

you didnt say i had to answer

6 0
3 years ago
Read 2 more answers
If an otherwise empty pressure cooker is filled with air of room temperature and then placed on a hot stove, what would be the m
Xelga [282]

Answer:

The magnitude of the net force F₁₂₀ on the lid when the air inside the cooker has been heated to 120 °C is \frac{135.9}{A}N

Explanation:

Here we have

Initial temperature of air T₁ = 20 °C = ‪293.15 K

Final temperature of air T₁ = 120 °C = 393.15 K

Initial pressure P₁ = 1 atm = ‪101325 Pa

Final pressure P₂ = Required

Area = A

Therefore we have for the pressure cooker, the volume is constant that is does not change

By Chales law

P₁/T₁ = P₂/T₂

P₂ = T₂×P₁/T₁ = 393.15 K× (‪101325 Pa/‪293.15 K) = ‭135,889.22 Pa

∴ P₂ = 135.88922 KPa = 135.9 kPa

Where Force = \frac{Pressure}{Area} we have

Force = F_{120}=\frac{135.9}{A}N.

4 0
3 years ago
Other questions:
  • Two football players are pushing a 60kg blocking sled across the field at a constant speed of 2.0 m/s. The coefficient of kineti
    9·1 answer
  • Substance X transfers thermal energy to substance Y through conduction. What is an accurate conclusion about the condition of bo
    5·2 answers
  • a train is moving 35m/s to the east. it speeds up to 42 m/s east over the course of 40 seconds. what is the trains acceleration?
    13·1 answer
  • Light passes through a single slit. If the width of the slit is reduced, what happens to the width of the central bright fringe
    13·1 answer
  • A ______ employs a weight and a wire to detect horizontal movement.
    10·2 answers
  • Which sound waves in the electromagnetic spectrum are considered low energy waves
    12·1 answer
  • ♡ GuYs diG cRaZy cHiCks ♡ IvE naMeD my aLtEr Ego AJ
    11·1 answer
  • Energy Conservation With Conservative Forces: If a spring-operated gun can shoot a pellet to a maximum height of 100 m on Earth,
    12·1 answer
  • .・✫・゜・。.
    8·2 answers
  • Apply Newton’s second law to calculate the frictional force needed to hold a 15 g pen in your fingers and keep it from falling
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!