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
sergeinik [125]
3 years ago
13

A proposed space station consists of a circular tube that will rotate about its center (like a tubular bicycle tire), Fig. 5–39.

The circle formed by the tube has a diameter of 1.1 km. What must be the rotation speed (revolutions per day) if an effect nearly equal to gravity at the surface of the Earth (say, 0.90 g) is to be felt?
Physics
2 answers:
Trava [24]3 years ago
6 0

Answer:

1742.24106 revolutions per day

Explanation:

v = Velocity

d = Diameter = 1.1 km

r = Radius = \dfrac{d}{2}=\dfrac{1.1}{2}=0.55\ km

g = Acceleration due to gravity = 9.81 m/s²

g = 0.9 g

The centrifugal force will balance the gravitational force

F_c=mg\\\Rightarrow \dfrac{mv^2}{r}=m0.9g\\\Rightarrow v=\sqrt{\dfrac{0.9gmr}{m}}\\\Rightarrow v=\sqrt{0.9gr}\\\Rightarrow v=\sqrt{0.9\times 9.81\times 0.55\times 10^3}\\\Rightarrow v=69.68464\ m/s

\dfrac{1}{T}=\dfrac{v}{2\pi r}\\\Rightarrow \dfrac{1}{T}=\dfrac{69.68464}{2\pi 0.55\times 10^3}\times 24\times 60\times 60\\\Rightarrow \dfrac{1}{T}=1742.24106\ rev/day

The rotation speed is 1742.24106 revolutions per day

nlexa [21]3 years ago
3 0

Answer:

1728 rev/sec

Explanation:

The expression for the gravitational force is given by

F_g=mg_1

g_1=0.9g (Given)

therefore,

F_g=0.9mg

The centripetal force balances this gravitational force to keep the space station in equilibrium.

Hence we can write

\frac{mv^2}{r} =0.9mg

Rearrange the above equation in terms of velocity

v=\sqrt{\frac{0.9mgr}{m} }

⇒v=\sqrt{0.9gr}

putting the values we get

v=\sqrt{\frac{0.9(9.81)(1100)}{2} }

v=69.65 m/sec

the rotational speed can be calculated as or frequency of rotation

f= \frac{v}{2\pi r}

putting values we get

f= \frac{69.65}{2\pi 5500}

f= 0.02 rev/sec

meaning 0.02 rev per second

therefore no. or revolution per day

= 0.02×24×3600= 1728 rev/sec

You might be interested in
Any material that allows thermal energy to pass through easily is a?
AveGali [126]
Any material that allows thermal energy to pass through easily is a conductor
3 0
3 years ago
Which of the following affects the rate constant of a reaction?
Art [367]
A the entropy of the reaction I think ion know if that’s correct
3 0
1 year ago
A photon of wavelength 2.78 pm scatters at an angle of 147° from an initially stationary, unbound electron. What is the de Brogl
Elena-2011 [213]

Answer:

2.07 pm

Explanation:

The problem given here is the very well known Compton effect which is expressed as

\lambda^{'}-\lambda=\frac{h}{m_e c}(1-cos\theta)

here, \lambda is the initial photon wavelength, \lambda^{'} is the scattered photon wavelength, h is he Planck's constant, m_e is the free electron mass, c is the velocity of light, \theta is the angle of scattering.

Given that, the scattering angle is, \theta=147^{\circ}

Putting the respective values, we get

\lambda^{'}-\lambda=\frac{6.626\times 10^{-34} }{9.11\times 10^{-31}\times 3\times 10^{8} } (1-cos147^\circ ) m\\\lambda^{'}-\lambda=2.42\times 10^{-12} (1-cos147^\circ ) m.\\\lambda^{'}-\lambda=2.42(1-cos147^\circ ) p.m.\\\lambda^{'}-\lambda=4.45 p.m.

Here, the photon's incident wavelength is \lamda=2.78pm

Therefore,

\lambda^{'}=2.78+4.45=7.23 pm

From the conservation of momentum,

\vec{P_\lambda}=\vec{P_{\lambda^{'}}}+\vec{P_e}

where,\vec{P_\lambda} is the initial photon momentum, \vec{P_{\lambda^{'}}} is the final photon momentum and \vec{P_e} is the scattered electron momentum.

Expanding the vector sum, we get

P^2_{e}=P^2_{\lambda}+P^2_{\lambda^{'}}-2P_\lambda P_{\lambda^{'}}cos\theta

Now expressing the momentum in terms of De-Broglie wavelength

P=h/\lambda,

and putting it in the above equation we get,

\lambda_{e}=\frac{\lambda \lambda^{'}}{\sqrt{\lambda^{2}+\lambda^{2}_{'}-2\lambda \lambda^{'} cos\theta}}

Therefore,

\lambda_{e}=\frac{2.78\times 7.23}{\sqrt{2.78^{2}+7.23^{2}-2\times 2.78\times 7.23\times cos147^\circ }} pm\\\lambda_{e}=\frac{20.0994}{9.68} = 2.07 pm

This is the de Broglie wavelength of the electron after scattering.

6 0
3 years ago
A battery is connected to a light bulb that has 3 of resistance . If there is 0.5 A of current flowing what is the voltage on th
Alenkasestr [34]

Answer:

1.5 V

Explanation:

E = IR = 0.5(3) = 1.5 V

8 0
3 years ago
Identify each process labeled in the diagram
marishachu [46]
I am going to need a picture for this question
3 0
3 years ago
Other questions:
  • An object with mass 110 kg moved in outer space. When it was at location < 13, -18, -2 > its speed was 19.5 m/s. A single
    14·1 answer
  • An object's acceleration is given by a(t)=a(t)=60t m/s260t m/s2 . if it begins at rest, how far has it gone after 10 seconds?
    8·1 answer
  • Imagine that you are approaching a black hole in a spacecraft. What would you see? What would happen to you?
    10·2 answers
  • A car starts moving after waiting for a traffic light to turn green. It is able to travel a distance of 300 meters in 10 seconds
    14·2 answers
  • A conductor carrying 14.7 amps of current is directed along the positive x-axis and perpendicular to a uniform magnetic field. A
    13·1 answer
  • In the circuit diagram, what does the line segment with two circles at the end represent?
    5·2 answers
  • You throw a football straight up. Air resistance can be neglected. When the football is 4.00 mm above where it left your hand, i
    14·1 answer
  • Where was the position of the singularity before the big bang ?​
    13·1 answer
  • The game was invented in Holyoke, Mass<br> True or false?
    5·1 answer
  • URGENT PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST !!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!