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
Sergio039 [100]
3 years ago
7

It has been suggested that rotating cylinders about 10 mi long and 5.9 mi in diameter be placed in space and used as colonies. T

he acceleration of gravity is 9.8 m/s 2 . What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on
Physics
1 answer:
tekilochka [14]3 years ago
7 0

Answer:

ω = 0.05 rad/s

Explanation:

We consider the centripetal force acting as the weight force on the surface of the cylinder. Therefore,

Centripetal Force = Weight\\\frac{mv^{2}}{r} = mg\\\\here,\\v = linear\ speed = r\omega \\therefore,\\\frac{(r\omega)^{2}}{r} = g\\\\\omega^{2} = \frac{g}{r}\\\\\omega = \sqrt{\frac{g}{r}}\\

where,

ω = angular velocity of cylinder = ?

g = required acceleration = 9.8 m/s²

r = radius of cylinder = diameter/2 = 5.9 mi/2 = 2.95 mi = 4023.36 m

Therefore,

\omega = \sqrt{\frac{9.8\ m/s^{2}}{4023.36\ m}}\\\\

<u>ω = 0.05 rad/s</u>

You might be interested in
I need someone that has a course hero subscription to help me I need all the pages
SVETLANKA909090 [29]

Answer:

So what's the answer???

Explanation:

8 0
3 years ago
an acorn falls from a tree. ignoring air resistance, what forces are on the acorn while it’s falling?
Triss [41]

Answer: gravity

Explanation:

4 0
2 years ago
Eli states that sodium phosphate is a mixture because it is composed of both sodium ions and phosphate ions.
galina1969 [7]

The question is incomplete, the complete question is;

Eli states that sodium phosphate is a mixture because it is composed of both sodium ions and phosphate ions. Which is the best analysis of Eli’s statement? It is correct because each ion is a pure substance, so sodium phosphate is made up of two pure substances. It is correct because the composition of sodium phosphate changes depending on the sample. It is incorrect because sodium phosphate is a compound that has a single composition. It is incorrect because the two types of ions in sodium phosphate cannot be seen.

Answer:

It is incorrect because sodium phosphate is a compound that has a single composition

Explanation:

A compound is a neutral substance made up of two or more atoms which are chemically combined together.

Ionic substances are made up of ions. These ions are not separate entities, they are part of the compound.

Hence, Eli's statement is incorrect because sodium phosphate is a compound that has a single composition.

5 0
3 years ago
A film of soapy water on top of a plastic cutting board has a thickness of 255 nm. What wavelength and color is most strongly re
Alona [7]

Answer:

the reflected wavelength is lano = 4.55 10⁻⁷ m which corresponds to the blue color

Explanation:

This is a case of reflection interference, we must be careful

* There is a 180º phase change when light passes from the air to the soap film (n = 1,339), but there is no phase change when passing from the pomp to the plastic (n = 1.3)

* the wavelength within the film is modulated by the refractive index

     λₙ =  λ₀ / n

if we consider these relationships the condition for constructive interference is

     2 t = (m + ½)  λₙ

     2t = (m + ½)  λ₀ / n

      λ₀ = 2t n / (m + ½)

we substitute the values

      λ₀= 2 255 10⁻⁹ 1,339 / (m + ½)

      λ₀  = 6.829 10⁻⁷ (m + ½)

let's calculate the wavelength for various interference orders

m = 0

       λ₀ = 6.829 10⁻⁷/ ( 0 +   ½ )

       λ₀ = 13.6 10⁻⁷

       it is not visible

m = 1

      λ₀ = 6,829 10⁻⁷/ (1 + ½)

       λ₀ = 4.55 10⁻⁷

      color blue

m = 2

      λ₀ = 6.829 10⁻⁷ / (2 + ½)

      λ₀ = 2,7 10⁻⁷

   it is not visible

therefore the reflected wavelength is lano = 4.55 10⁻⁷ m which corresponds to the blue color

5 0
3 years ago
The table shows the changes in velocity for several different cars. Each change takes place over a 10-second interval. Which car
sesenic [268]
Car B, Car C, And Car E Are either speeding up or slowing down
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the distance of the spaceship from the earth
    11·1 answer
  • How does the speed of radio waves compare with the speed of infrared waves?
    9·1 answer
  • What is the peak emf generated by rotating a 940-turn, 24 cm diameter coil in the Earth’s 5·10−5 T magnetic field, given th
    13·1 answer
  • A bird flies 3.7 meters in 46 seconds, what is its speed?
    10·1 answer
  • A crate of mass 10.0 kg is pulled up a roughincline with an initial speed of 1.50m/s. The pulling forceis 100N parallel to the i
    8·1 answer
  • The earth rotates once per day about an axis passing through the north and south poles. True or False
    5·1 answer
  • A compound microscope is equipped with two objective lenses (10x and 45x) and has a 10x ocular lens. The highest magnification a
    10·1 answer
  • Which describes the greenhouse effect? 1. Earth continues to get warmer over time because it is slowly moving closer to the sun.
    5·1 answer
  • A car traveling at 65 mph is an example of its
    15·1 answer
  • Examine the roller coaster track above. Assume there is negligible friction as the roller coaster moves from position A to posit
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!