A proposed space station includes living quarters in a circular ring 58.0 m in diameter. At what angular speed should the ring rotate so the occupants feel that they have the same weight as they do on Earth

Answers

Answer 1

Answer:

The angular speed   [tex]w = 0.5813 \ rad/s[/tex]

Explanation:

From the question we are told that

  The diameter is  d =  58.0 m    

Generally for the occupants feel that they have the same weight as they do on Earth then the centripetal acceleration of the circular ring must be  equal to the acceleration due to gravity this can be mathematically represented as

      [tex]a_c = g[/tex]

Here [tex]a_c[/tex] is the centripetal acceleration which is mathematically represented as

       [tex]a_c = w^2 * r[/tex]

Here r is the radius of the circular ring

=>    [tex]w^2 * r = g[/tex]

=>    [tex]w = \sqrt{\frac{g}{r} }[/tex]

=>   [tex]w = \sqrt{\frac{9.8}{ \frac{d}{2} } }[/tex]

=>   [tex]w = \sqrt{\frac{9.8}{ \frac{58.0 }{2} } }[/tex]

=>   [tex]w = 0.5813 \ rad/s[/tex]

         


Related Questions

Your car is initially at rest when your hit that gas and the car begins to accelerate at a rate of 2.857 m/s/s. The acceleration lasts for 15.5 s. What is the final speed of the car and how much ground does it cover during this acceleration?

Answers

Answer:

Vf = 44.56 [m/s]

Explanation:

In order to solve this problem we must use the following expression of kinematics.

[tex]v_{f} = v_{i}+(a*t)[/tex]

where:

Vf = final velocity [m/s]

Vi = initial velocity = 0

a = acceleration = 2.857 [m/s^2]

t = time = 15.5 [s]

Note: the initial velocity is equal to zero as the car begins its movement from rest, or with an initial velocity equal to zero.

Vf = 0 + (2.875*15.5)

Vf = 44.56 [m/s]

What causes tides to occur in the ocean?

Waves
Wind
Gravitational pull
Coriolis effect

Answers

Answer:

Gravitational pull

Explanation:

The moon pulls the tides

Answer: gravitational pull

Tides are caused by a gravitational pull from the Moon. Ocean/bay tides rise because of this pull for the gravity under the water. This can happen every day up to 6 times.

Which could describe the properties of sedimentary rock?
PLASE HELP
DUE TODAY

Answers

Answer:

☝ Some of the properties of sedimentary rocks

Which best describes a difference between laser light and regular light?
Laser light is less concentrated.
Laser light has a beam that spreads out.
O Laser light is made of one specific color.
O Laser light pumps out light particles one at a time.

Answers

Answer: the correct answer should be B

Explanation:

The statement that, best describes a difference between laser light and regular light is laser light is made of one specific color.

What is laser light?

A laser light is a light produced by a laser

Laser itself,  is a device that emits light through a process of optical amplification based on the stimulated emission of electromagnetic radiation.

Difference between laser light and regular lightRegular light is non-directional and inconsistent, while laser light shows directional and highly consistent distribution.Regular light is a mixture of electromagnetic waves of different wavelengths while Laser light is monochrome (one colour).

Thus, the statement that, best describes a difference between laser light and regular light is laser light is made of one specific color.

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When an atom gains or loses electrons, it has an electrical charge. It is known as

Answers

Answer:

ion

Explanation:

Atoms can gain or lose making them no longer neutral they become charged and it is called ion.

2. An athlete runs up the stairs of a tall building in 10 s. If she has a mass of 55 KG and the total vertical distance she covers is 8.2 m, what is the average power (in W)developed by her legs?

Answers

Answer:

P = 37.0 W (watts)

Explanation:

Using the formula for power :

P = ( kg × m^2/s^2 ) W

given the mass 55kg, the time 10s, and the displacement 8.2m.

55 kg × 8.2^2 / 10^2

55kg × 67.24 / 100

3698.2/100

P = 36.982 ≈ 37.0 W (nearest tenth)

A power cycle operating between hot and cold reservoirs at 500 K and 300 K, respectively, receives 1000 kJ by heat transfer from the hot reservoir. The magnitude of the energy discharged by heat transfer to the cold reservoir must satisfy

Answers

Answer:

The value is [tex]Q_l \ge 600\ k J[/tex]

Explanation:

From the question we are told that  

   The temperature of  hot is  [tex]T_h = 500 \ K[/tex]

   The temperature of cold is  [tex]T_c = 300 \ K[/tex]

   The energy received is  [tex]E = 1000 \ kJ = 1000 *10^{3 } \ J[/tex]

Generally the maximum thermal  efficiency of the engine is mathematically represented as

     [tex]\eta = \frac{T_h - T_c}{T_h}[/tex]

=> [tex]\eta = \frac{500 - 300}{500}[/tex]

=> [tex]\eta = 0.4[/tex]

Generally the thermal  efficiency of the engine is  

   [tex]\eta_t = \frac{Q - Q_l}{Q}[/tex]

Here  [tex]Q_l[/tex] is the heat energy rejected

Generally the thermal efficiency must be less than or equal to the maximum thermal  efficiency

So

       [tex]\frac{Q - Q_l}{Q} \le 0.4[/tex]

=>    [tex]\frac{1000 *10^{3} - Q_l}{1000 *10^{3} } \le 0.4[/tex]

the change in inequality sign is because [tex]1000*10^{3}[/tex]  which was dividing started multiplying

=>    [tex]Q_l \ge 1000*10^{3} - 400*10^{-3}[/tex]

=>  [tex]Q_l \ge 600*10^{3} \ J[/tex]

=>  [tex]Q_l \ge 600\ k J[/tex]

An airplane flying at 119 m/s is accelerated uniformly at the rate of 0.5 m/s2 for 10
seconds. What is its final speed?

Answers

Answer:

124m/s

Explanation:

v=u+at

v=119+(0.5×10)

v=119+5

v=124m/s

The Plateau of Tibet is a dry place. Do you think the wide-leafed plant fossils found on the plateau could grow there today? Explain your answer.

Answers

No, I dont think that they could grow there now in this day and age becuase the Plateu of Tbiet is very dry and also a little bit dusty. They barely even have grass down there. Wide leaf plants susually grow somewhee like the rainforest where it is warm, sunny, and rainy but in a place like Tibet, I don't think that they would be able to survive there.

Answer:

No. The leaves are similar to those of plants found in lower elevations with plenty of rainfall, like the plants seen at the lower elevations of the Himalayas. Because the Plateau of Tibet has risen over time, it is not likely that these plants could live in these colder climates.

Explanation:

Sample answer from pluto

2. True or false?
Forensic entomology uses the study of insects to help criminal investigations.

Answers

I’m pretty sure it’s true lol
True
Look up the definition, it tells you.

What statements accurately describe sunspots? Check all that apply.
Sunspots are storms on the Sun's surface.
Sunspots are marked by intense magnetic activity.
Sunspots produce solar flares and hot gassy ejections.
Sunspots can affect Earth's climate.
Sunspots are cool areas where the Sun is covered by clouds.

Answers

Answer:

sunspots are storms on the Suns surface

Sunspots are marked by intense magnetic activity

Sunspots produce solar flares and hot gassy ejections.

Sunspots can affect Earth’s climate.

Explanation:

I just did this lesson

The statement that describe sunspot is Sunspots are storms on the Sun's surface.

What are sunspot?

Sunspot are region of the earth that are more darker than other surfaces. They have temporary spots that are darker because the temperature of that area is cooler than other surfaces. They have a reduced temperature.

Therefore, The statement that describe sunspot is Sunspots are storms on the Sun's surface.

Learn more about sunspot below.

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QUESTION
The strongest Stars used to be called
what?

Answers

Answer:

Absolute magnitude

Explanation:

The brightness a star would have if it were at 10 pc from Earth is called Absolute magnitude.

A car start from rest accelerate uniformly at rate of 2 m/sec2. Its velocity after 5 seconds will be:

Answers

Answer:

nononononononononononononnn

Explanation:

Answer:

Read below to understand

Explanation:

acceleration = change in velocity / change in time

(a = v/t)

You have acceleration and time given so you need to rearrange the equation to solve for velocity

V = a * t

V = 2 * 5

Velocity is 10 m/s

e. A driver speeds up his vehicle while moving up a hill.
Why?​

Answers

Answer:

For more acceleration

Explanation:

If he is speeding u a hill his car needs more power ecsue its going upward so he will have to speeed to gain more acceleration so his car doesnt fall

An airplane is flying at a velocity of 79 m/s eastward relative to the air. Due to a high-pressure region to the north, the velocity of the air relative to the ground is 18 m/s southward. Find the ground speed of the airplane.

Answers

So we are working out it’s final velocity. To do this you need to rearrange and substitute :
Velocity = final velocity (v) - initial vel. (U)
Divided by ______________________
Time taken (t)

Not sure if this helped but I try to start it off

Which statement describes earthquakes?
They release energy
They are caused by reduced stress in rocks
They begin at the epicenter
The result for movement on earth’s surface

Answers

Answer:

they release energy  

Explanation:

An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus , seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity . therefore the correct answer is option A.

What is the equator?

The Equator is an imaginary line passing through the middle of a globe. It is equidistant from the North Pole and the South Pole, Its is a horizontal line residing at 0 degrees latitude .

An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus, seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity .

Thus, the correct answer is option A .  

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Homogeneous materials look the same throughout even though they contain
different materials.
A. True
B. False
SUBMIT

Answers

Answer:

true ig..

Explanation:

Tell which is the answer
help please

Answers

Answer: a constant? im not sure that just sounds like itd be right.

Explanation:

Answer:

b

Explanation:

because he isn't moving

Does time of flight depend on initial speed?

Answers

I guess yeah sorry couldn’t help much

What is the frequency (n, in Hz) of the photons emitted by a He-Ne laser with a wavelength (l) of 632.8 nm

Answers

Answer:

4.741 × 10¹⁴ Hz

Explanation:

Step 1: Given data

Wavelength of the He-Ne laser (l): 632.8 nmFrequency of the He-Ne laser (n): ?Speed of light (c): 3.000 × 10⁸ m/s

Step 2: Convert "l" to meters

We will use the conversion factor 1 m = 10⁹ nm.

632.8 nm × (1 m / 10⁹ nm) = 6.328 × 10⁻⁷ m

Step 3: Calculate the frequency of the He-Ne laser

We will use the following expression.

c = l × n

n = c / l

n = (3.000 × 10⁸ m/s) / (6.328 × 10⁻⁷ m)

n = 4.741 × 10¹⁴ s⁻¹ = 4.741 × 10¹⁴ Hz

The path of a projectile fired at an angle above the horizontal is best described as

Answers

I agree it only makes sense

A stone is thrown vertically upward with the velocity of 25 m/s. How long day
it take to reach the maximum height? Also calculate the height​

Answers

Answer:

The stone takes 2.55 sec to reach a maximum height of 31.89 m

Explanation:

Vertical Motion

When an object is thrown vertically up with a speed vo, it loses speed because of the effect of the gravity and gains height until the speed is eventually zero. The height attained at that time is called maximum height, and can be calculated as follows:

[tex]\displaystyle h_m=\frac{v_o^2}{2g}[/tex]

Since vo=25 m/s

[tex]\displaystyle h_m=\frac{25^2}{2\cdot 9.8}=31.89\ m[/tex]

Also, the time taken to reach the maximum height is calculated by:

[tex]\displaystyle t_m=\frac{v_o}{g}[/tex]

[tex]\displaystyle t_m=\frac{25}{9.8}=2.55\ s[/tex]

The stone takes 2.55 sec to reach a maximum height of 31.89 m

Which atmospheric layer gets warmer as altitude increases and contains the ozone layer?

Answers

Answer:

stratosphere

Explanation:

In the stratosphere, temperature increases with altitude. The stratosphere contains the ozone layer, which protects the planet from the Sun's harmful UV radiation.

Stratosphere is the atmospheric layer which gets warmer as the altitude increases and contains the ozone layer.

What is Stratosphere?

The stratosphere is a layer of the Earth's atmosphere. It is the second layer of the atmosphere as we go upward into the atmosphere height. The troposphere is the lowest layer of the globe, which is present right below the stratosphere. The next higher layer of the atmosphere above the stratosphere is the mesosphere.

In the stratosphere layer, the temperature increases with the increase in the altitude range. The stratosphere layer contains the ozone layer, which works in the protection of the planet from the Sun's harmful ultraviolet radiations which could lead to cancer.

Learn more about Stratosphere here:

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What is a factor in an experiment that can be changed or it can be kept the same?

Answers

Answer:  If you are performing an experiment on the effect of spraying plants with different chemicals, you would try to maintain the same pressure and maybe the same volume when spraying your plants. The independent variable is the one factor that you are changing. It is one factor because usually in an experiment you try to change one thing at a time.

Explanation:


What President is responsible for eliminating most vending machines from the cafeterias of public schools ?

Answers

Answer:president obama

Explanation:Why this is because he took a of mayor Bloomebergs amti obeity  book and made new rules  for snack foods.

The Newton unit obtained from

A)Kg.m/s2
B) Kg. m
C) kg/m
D) kg ml​

Answers

Answer:

Explanation:

The Newtons unit is kg. m/s2

Option A is the correct answer

Explain how the ESPN network has helped the sports industry grow in the past thirty years. In your explanation, you must also explain whether the industry has peaked or whether potential for growth still exists.

Answers

Answer:

Thirty years ago, the culture of American sports took a new course. An idea shouldered by a former sports communication executive, along with his son and other partners, would go on to transform the way we consume, analyze and interpret the world of athletics, and would influence international sport culture as well. While sports have always acted as a medium for those looking to escape the drudgeries of work, a way to channel negative emotions into something engaging and entertaining, ESPN presented a new opportunity for fans: an all-encompassing cable network for not only sports itself but also for the culture surrounding sports.,

Explanation:

Hope this helped!

After a wave passes through a medium, particles in the medium
are permanently displaced in a direction opposite to the direction of the wave
remain in the new location
are moved along with the wave
return to the original position

Answers

Answer:

D. Return to the original position

Explanation:

I took the test

According to the kinetic theory, what happens when the temperature of water
increases?
The water molecules increase their speed.
The water molecules do not change speed.
The water molecules decrease their speed.

Answers

the molecules will increase their speed
The water molecules increase their speed. Think about a pot of boiling water as it gets hotter the molecules bounce off of each other more rapidly.

Suppose that a Ferrari and a Porsche begin a race with a moving start, and each moves with constant speed. One lap of the track is 2 km. The Ferrari laps the Porsche after the Porsche has completed 9 laps. If the speed of the Ferrari had been 10 km/h less, the Porsche would have traveled 18 laps before being overtaken. What were the speeds of the two cars?

Answers

Answer:

Porsche = 180 kmph

Ferrari = 200 kmph

Explanation:

Given that

The distance of one lap = 2 km

The distance the Ferrari laps the Porsche = 9 laps

The distance the Ferrari will lap the Porsche with 10 km/h less speed = 18 laps

So we say let,

the speed of the Ferrari = S(f),

the speed of the Porsche = S(p), and

the time that lapse before two cars lapped = t

From the question, we're told that

(S(f) * t1) - (S(p) * t1) = 2 km, also

S(p) * t1 = 9 * 2 = 18 km

Referring back to the initial equation

(S(f) * t1) = 2 + (S(p) * t1)

(S(f) * t1) = 2 + 18 = 20 km

Going back to the question again, we're told that

(S(f) - 10) * t₂ - S(p) * t₂ = 2 km

S(p) * t₂ = 18 * 2 = 36 km

So that,

(S(f) - 10) * t₂ = 2 km + S(p) * t₂

(S(f) - 10) * t₂ = 2 + 36 km = 38 km

(S(f) - 10) * t₂ = 38 km

S(p) * t₂ (36 km) = 2 * S(p) * t₁ (18 km),

S(p) * t₂ = 2 * S(p) * t₁, collect like terms

t₂ = 2t₁

(S(f) - 10) * 2t₁ - S(p) * 2t₁ = 2 km

(S(f) - 10) * 2t₁ = 38 km

(S(f) - 10) * 2t₁ = 38 km

2t₁ * S(f) - 2t₁ * 10 = 38 km

S(f) * t₁ = 20 km,

2 * 20 km - 2t₁ * 10 = 38 km

2t₁ * 10 = 2 * 20 km - 38 km

2t₁ * 10 = 2 km

20t₁ = 2 km

t₁ = 2/20 = 0.1 hour = 6 minutes

This means that

S(p) * t₁ = 18 km

S(p) * 0.1 h = 18 km

S(p) = 18 km/0.1 h = 180 km/h

The speed of the Porsche = S = 180 km/h

S(f) * t₁ = 20 km

S(f) × 0.1 h = 20 km

S(f) = 20 km/0.1 h = 200 km/h

The speed of the Ferrari = S = 200 km/h

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