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
Ludmilka [50]
2 years ago
10

A merry-go-round has a small box placed on it at a distance R' from its axis of

Physics
1 answer:
Lady_Fox [76]2 years ago
7 0

The time after it starts spinning, that the box will slip off is 0.1 s.

<h3>Apply the principle of conservation of angular momentum</h3>

I₁ω₁ - I₂ω₂ = 0

I₁ω₁  =  I₂ω₂

where;

  • I₁ is initial moment of inertia
  • I₂ is final moment of inertia
  • ω₁ is initial angular speed
  • ω₂ is final angular speed

The final angular speed when the box slides off;

ω₂ = I₁ω₁ / I₂

ω₂  = [0.5(m₁ + m₂)(R + r)²] / (0.5MR²)

ω₂  = [0.5(30 + 0.3)(3.1 + 1.4)²] / (0.5 x 30 x 3.1²)

ω₂  = 2.13 rad/s

Time taken for the for box to slide off;

τ = Iα

τ = I(ω/t)

τ = (Iω)/t

t =  (Iω)/τ

t = (0.5 x 0.3 x 1.4² x 2.13)/6

t = 0.1 s

Thus, the time after it starts spinning, that the box will slip off is 0.1 s.

Learn more about moment of inertia here: brainly.com/question/3406242

#SPJ1

You might be interested in
Which part of the roller coaster system determines the amount of kinetic energy in the system
eduard
The lowest point, where the amount of energy is the greatest
5 0
4 years ago
Read 2 more answers
Using diagram 1.1 and diagram 1.2, compare the number of turn of the coils, the pattern of the iron fillings and the angle of de
miss Akunina [59]

Answer:

The number of turns in the second coil is more than the coil 1.

Explanation:

The magnetic field lines are the imaginary path on which an isolated north pole moves if it is free to do so.

The tangent at any point to the magnetic field line, gives the direction of magnetic field at that point.

More be the crowd ness of magnetic field lines more is the strength of magnetic field.

Here the crowd ness of magnetic field lines is more in figure 2 , so the magnetic filed in figure 2 is more than 1. It shows that the number of turns in the second coil is more than the 1 and also the current in the coil 2 is more than 1 .

3 0
3 years ago
Explain why the direction of the south equatorial current changes
Allisa [31]
One scientist believe that the ozone layers of the earth had been weakening and waters current changes directly over 5 to 7 months.    hope that helped
8 0
3 years ago
What can cause a big city to be warmer than the surrounding countryside?
hammer [34]
There are many people in the city and so much traffic that it pollutes the air and makes it warmer where the country dosent have much traffic so there for its cooler
4 0
3 years ago
Read 2 more answers
Tell something about the series of miraculous tales of ladybug and catnoir
aksik [14]

Answer:Coccinellidae is a widespread family of small beetles ranging in size from 0.8 to 18 mm. The family is commonly known as ladybugs in North America and ladybirds in Great Britain and other parts of the English-speaking world.

Explanation: Uh yea.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Why does sound move fastest in solid mediums?
    6·2 answers
  • Fluids flow and exert forces on objects.
    7·1 answer
  • A thin uniform cylindrical turntable of radius 2.7 m and mass 22 kg rotates in a horizontal plane with an initial angular speed
    11·1 answer
  • The convection currents in the asthenosphere cause the movement of the
    13·1 answer
  • A battery of emf 5V and internal resistance 2ohm is joined to a resistor of 8ohm.Calculate the terminal potential difference. ​
    15·1 answer
  • What technique is used by scientists to determine which of several explanations is the best explanation
    9·1 answer
  • Write an essay about the Electromagnetic spectrum and its many uses in real life practices. Answer these questions in the essay:
    10·2 answers
  • Question 2 (1 point)
    12·1 answer
  • If the Andromeda galaxy is blue shifted what would the effect be called?
    15·1 answer
  • 2. An electric motor transfers 2003 in 10.0 s. If it then transfers the same amount of energy in 8.0 s, has its
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!