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
svet-max [94.6K]
3 years ago
6

Determine the total moment of inertia of a merry-go round with 5 children sitting on it. Of the five children, four are seated a

t the edge of the merry-go-round, and the fifth child is sitting exactly at the center. The children have the same mass of 30.0 kg. You may consider the merry-go-round as a cylinder of mass 150 kg and a radius 2.0 meters.
Physics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

Explanation:

Given that,

We have five children.

Each of mass m =30kg

They sit on a merry go round

Mass of Merry go round M= 150kg

Radius of Merry go round is r =2m

Four children sit at the edge of the merry go round but one child sit at the centre.

The four child that sit at the edge are 2m from the centre of the merry go round but the one at the centre is 0m from the centre

Moment of inertia?

Moment of inertia is given as

I=Σmi•ri²

For the question, the moment of inertia is the combination of inertial of child and the merry go round

I= I(merry go round) + I(four child)+ I(last child)

The merry go round is assumed to be a solid cylinder, so it is going to have the moment of inertia of solid cylinder

Then,

I(merry go round ) =½ Mr²

Also, Four of the child has the same moment of inertia, they are 2m form the centre of the merry go round why the last child has no moment of inertia

I= I(merry go round) + I(four child) +I(last child )

I= ½Mr² + 4mr² + mr'²

I = ½ × 150 ×2² + 4×30×2² + 30×0²

I = 300 +480+0

I = 780 kgm²

You might be interested in
The Millennium Falcon was constructed 43.6 m long. a) How fast is it traveling past Luke when he measures its length to be 30.1
Zinaida [17]

Answer:

a)0.5564c

b)43.6 m

Explanation:

Given proper length of falcrum L₀= 43.6 m

improper length L=30.1 m (when viewed from moving frame)

we know that L=L_{0}\sqrt{1-\frac{v^2}{c^2}}

30.1=43.6\sqrt{1-\frac{v^2}{c^2}

⇒\{1-\frac{v^2}{c^2}}=\frac{30.1}{43.6}

{1-\frac{v^2}{c^2}}=0.6904

\frac{v^2}{c^2}=0.3096

v^{2}=3096c^{2}

v=0.5564c

this is the required speed of falcon when it passes luke

b). Since Han solo is on the Falcon its reference frame will be falcon itself hence there wont be any change in the length of Falcon that its length will be

43.6 m

8 0
2 years ago
What is meta physics and its importance
artcher [175]

Answer:

Metaphysics is the branch of philosophy that studies the fundamental nature of reality, the first principles of being, identity and change, space and time, causality, necessity, and possibility.

Explanation:

Just as physics deals with the laws that govern the physical world (such as those of gravity or the properties of waves), metaphysics describes what is beyond physics—the nature and origin of reality itself, the immortal soul, and the existence of a supreme being.

6 0
1 year ago
As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arr
zmey [24]

Answer:

F =1490.9 N

Explanation:

given,

work done = 82 J

compression length = 0.220 m

for parallel combination

k_{eq}= k_1+k_2

         = 2 k

work done

w = \dfrac{1}{2}k_{eq}x^2

k_{eq} = \dfrac{2W}{x^2}

k_{eq} = \dfrac{2\times 82}{0.22^2}

k_{eq} =3388.43 N/m

force =

F = kx

F = 3388.43 ×0.22

F =745.45 N

the additional work done

final potential energy = \dfrac{1}{2}k_{eq}(2x)^2

                                    = 4 W = 328 J

the additional work = 328 - 82 = 255 J

maximum force

F = k × 2x

F = 2×745.45

F =1490.9 N

                                   

6 0
3 years ago
What is the entropy change associated with the expansion of one mole of an ideal gas from an initial volume of v to a final volu
Kaylis [27]

Answer:

ΔS = 7.618 J/K

Explanation:

The entropy change associated to an isothermal process is:

ΔS = \frac{Q}{T}

We can calculate Q (heat) how:

Q = nRTln(\frac{Vf}{Vi})

   Where Vf = 2.5v

               Vi = v

               R = 8.314J/mol.k  (Constant of ideal gases)

               n: Number of moles = 1 mol

Then

Q = nRTln(2.5)

ΔS = \frac{nRTln(2.5)}{T}

ΔS = (1)(8.314)ln(2.5)

ΔS = 7.618 J/K

4 0
3 years ago
Pierce conducts an experiment in which waves collide in a way that the energy increases. What has occurred? refraction reflectio
Vitek1552 [10]

Answer:

constructive interference.

Explanation:

Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.

Generally, the most commonly used electromagnetic wave technology in telecommunications is radio waves.

Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m.

In this scenario, an experiment is conducted by Pierce in which waves collide in a way that the energy increases. Thus, this is an example of constructive interference i.e constructive interference has occurred.

An interference occurs when two pair of waves such as sound and light waves pass through each other i.e crossing each other's path while traveling through the same medium or space.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Suppose a car travels 106 km at a speed of 28 m/s and uses 1.9 gals of gasoline in the process. Only 30% of the gasoline goes in
    13·1 answer
  • 2. The ability to keep<br> upright posture while standing or moving
    11·1 answer
  • A bike accelerates uniformly(from rest to a speed of 7 m/s over a distance of 40 m. Determine
    8·1 answer
  • How was the water level by rock affected by wave?<br> -Tsunami-
    8·1 answer
  • Police are investigating an accident. They know that Tom Brady was driving 20 m/s before being hit by Jay Z head on. Tom Brady’s
    10·1 answer
  • Would it be true that if you double the distance of an astronaut from a planet, the gravitational pull between them would be hal
    10·2 answers
  • A scientist hypothesizes that the temperature at which an turtle's egg is incubated
    11·1 answer
  • Is an object on the surface of Earth sitting still relative to outer space?
    8·1 answer
  • What is a vernier caliper used for?​
    11·1 answer
  • Define potential difference as used in electricity​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!