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svetoff [14.1K]
3 years ago
5

A disk-shaped space station 125 m in diameter spins at a constant angular velocity. If the acceleration of a point on the rim of

the disk is to be equal to "g", how long does it take for the station to make one revolution?
Physics
1 answer:
dedylja [7]3 years ago
5 0

Answer:

  t = 22.44 s

Explanation:

The acceleration of the station is centripetal which has the formula

         a = v² / r

linear and angular velocity are related

         v = w² r

as they indicate that the acceleration is equal to the acceleration of gravity

         g = w² r

         w = \sqrt{  \frac{g}{r} }

         

let's calculate

         w = \sqrt{ \frac{9.8}{ 125} }

         w = 0.28 rad / s

to calculate the time use us

          w = θ / t

in a complete revolution θ = 2pi

          t = θ / w

let's calculate

          t = 2π / 0, 28

          t = 22.44 s

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A set of charged plates 0.00262 m apart has an electric field of 155 N/C between them. What is the potential difference between
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Answer: The potential difference between the plates = 0.4061V

Explanation:

Given that the

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A sealed cubical container 10.0 cm on a side contains three times Avogadro's number of molecules at a temperature of 24.0°C. Fin
rodikova [14]

This question involves the concepts of general gas equation and pressure.

The force exerted by the gas on one of the walls of the container is "74.08 KN".

First, we will use the general gas equation to find out the pressure of the gas:

PV = nRT

where,

P = Pressure of the gas = ?

V = Volume of cube = (side length)³ = (10 cm)³ = (0.1 m)³ = 0.001 m³

n = no. of moles = 3 (since molecules equal to avogadro's number make up 1 mole)

R = general gas constant = 8.314 J/mol.K

T = Absolute Temperature = 24°C + 273 = 297 K

Therefore,

P = \frac{(3)(8.314\ J/mol.k)(297\ K)}{0.001\ m^3}

P = 7407.78 KPa

Now, the force on one wall can be given as follows:

P =\frac{F}{A}\\\\F=PA

where,

A = area of one wall = (side length)² = (0.1 m)² = 0.01 m²

Therefore,

F=(7407.78\ KPa)(0.01\ m^2)\\

<u>F = 74.08 KN</u>

<u></u>

Learn more about the general gas equation here:

brainly.com/question/24645007?referrer=searchResults

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2 years ago
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