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
daser333 [38]
3 years ago
6

Two cylindrical space stations, the second four times the diameter of the first, rotate so as to provide the same amount of arti

ficial gravity. If the first station makes one rotation in the time T, then the second station makes one rotation in time A. T/4 B. 2T C. 4T D. 16T
Physics
1 answer:
dybincka [34]3 years ago
5 0

Answer:

B. T1 = 2T2

Explanation:

Given

r2 = 4r1

In this case, the centripetal forces must be equal (a1 = a2) for a person on the inside of the outer wall to feel the same amount of artificial gravity.

For a uniform circular motion, v = 2πr/T

Since a1 = a2 and a = v²/r

Then

(v1)²/r1 = (V2)²/r2

(2πr1/T)²/r1 = (2πr2/T)²/r2

4π(r1)²/(r1T1²) = 4π(r2)²/(r2T2²) ---- divide both sides by 4π

(r1)²/r1T1² = (r2)²/r2T2²

r1/T1² = r2/T2²----- make T2 the subject of formula

T2² = r2 * T1²/r1 ---- Square root both sides

T2 = T1√(r2/r1)

Substitute 4r1 for r2

T2 = T1√(4r1/r1)

T2 = T1√4

T2 = 2T1

You might be interested in
A coil formed by wrapping 65 turns of wire in the shape of a square is positioned in a magnetic field so that the normal to the
Fiesta28 [93]

Answer:

377 m

Explanation:

number of turns, N = 65

θ = 36°

B1 = 200 micro Tesla

B2 = 600 micro tesla

t = 0.4 s

induced emf, e = 80 mV

Let a be the side of the square coil.

e=\frac{d\phi }{dt}=NA\frac{dB}{dt}\times Sinθ

0.080=\frac{65\times a^{2}\times Sin36\times\left ( 600 - 200 \right )\times 10^{-6}}{0.4}

0.080=0.038a^{2}

a = 1.45 m

Total length of the wire, L = N x 4a = 65 x 4 x 1.45 = 377 m

Thus, the length of the wire is 377 m.

7 0
4 years ago
Several wires of varying thickness are all made of the same material and all have the same length. If the wires are arranged in
aev [14]

Answer:

Option A is correct.

The wires will be arranged in order of increasing resistance.

Explanation:

The resistance of a wire is given by

r = (ρl)/A

where r = resistance of the wire

ρ = resistivity of the wire

L = length of the wire

A = cross sectional area of the wire

Provided all the other parameters are constant, resistance is inversely proportional to cross sectional area

r ∝ (1/A)

And the the cross sectional Area of the wire increases with increase in thickness & decreases with thickness

So, decreasing thickness ----> Decreasing Cross sectional Area ----> Increasing resistance.

5 0
3 years ago
In this problem, you will answer several questions that will help you better understand the moment of inertia, its properties, a
scoundrel [369]

Answer:

a)  Total mass form, density and axis of rotation location are  True

b)   I = m r²

Explanation:

a) The moment of inertia is the inertia of the rotational movement is defined as

       I = ∫ r² dm

Where r is the distance from the pivot point and m the difference in body mass

In general, mass is expressed through density

        ρ = m / V

        dm = ρ dV

From these two equations we can see that the moment of inertia depends on mass, density and distance

Let's examine the statements, the moment of inertia depends on

- Linear speed       False

- Acceleration angular False

-  Total mass form True

-  density True

- axis of rotation location   True

b) we calculate the moment of inertia of a particle

For a particle the mass is at a point whereby the integral is immediate, where the moment of inertia is

          I = m r²

4 0
3 years ago
What does it mean to say that momentum is conserved?
balu736 [363]
The momentum of two or more objects during collisions is not lost nor gained
8 0
4 years ago
A badger is running at a speed of 1 m/s. If the badger moves that was for 2600 seconds, how far will the badger travel?
katen-ka-za [31]

Answer:

It would be 2600

Explanation:

M/S stands for meters per second. If it moved 1 meter for 2600 seconds, than it would be 2600. You just multiply 2600 by 1! I hope this helps :D

8 0
3 years ago
Other questions:
  • A traditional set of cycling rollers has two identical, parallel cylinders in the rear of the device that the rear tire of the b
    9·1 answer
  • Which phenomenon generates electric current?
    13·2 answers
  • A teacher pushed a 98 newton desk across a floor for a distance of 5 meter he exerted a horizontal force of 20 newton for four s
    8·1 answer
  • How does the science of heat transfer differ from the science of thermodynamics?
    10·1 answer
  • Can someone explain kinetic friction and give an example?
    8·1 answer
  • How is the thermal energy of a radiator transferred to the surrounding air
    11·1 answer
  • The Sun’s surface temperature is about 5800 K and its spectrum peaks at 5000 Å. An O-type star’s surface temperature may be 40,0
    10·1 answer
  • A squirrel drops an acorn onto the head of an unsuspecting dog. The acorn falls 4.0\,\text m4.0m4, point, 0, start text, m, end
    12·1 answer
  • How can you prove that acceleration is a derived unit​
    5·2 answers
  • Some metals have a molecular structure that makes them good conductors. Explain how understanding this relationship can help eng
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!