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
4. A woman releases one egg every month for 37 years. Calculate how many
BigorU [14]

so, 444 eggs would have been released in 37yrs

5 0
3 years ago
In which one or more of the following is the earth assumed to be the center of the universe?
sladkih [1.3K]
Can you put the answers, if there are any?
Once you do, Ill respond with a answer asap!
:)
4 0
3 years ago
Read 2 more answers
Which has more KE, a large truck moving at 50m/s or a bicycle moving at 10m/s?
klio [65]
The truck has more KE than the bike
8 0
3 years ago
Read 2 more answers
Can someone help with thsi? i will give brainliest
kogti [31]

Answer:

40 meters. look for the dot above the 20 on the x-axis and follow it over to the left.

Explanation:

4 0
3 years ago
An 8.00- W resistor is dissipating 100 watts. What are the current through it and the difference of potential across it?
hjlf

Answer:

I= 3.5 amps

Explanation:

Step one:

given data

rating of resistor R= 8 ohms

power P= 100W

Required

The current I

Step two

Yet this power is also given by

P = I^2R

make I subject of the formula we have

I= \sqrt{\frac{P}{R} }

substitute

I= \sqrt{\frac{100}{8} }\\\\I=\sqrt{12.5}\\\\I= 3.5 amps

8 0
3 years ago
Other questions:
  • A 2kg toy car traveling at 2m/s strikes a second toy car at rest. The mass of the second toy car is 3. The two stock together an
    6·1 answer
  • Lucas plugs a lamp into the wall. The light bulb in the lamp turns on. What kind of energy transformation is this? A.)Light ener
    9·2 answers
  • What is surface tension<br><br>​
    5·1 answer
  • A batter hits a 0.140-kg baseball that was approaching him at 40.0 m/s and, as a result, the ball leaves the bat at 30.0 m/s in
    7·1 answer
  • Explain what bias means when it comes to a scientific experiment.
    6·1 answer
  • Abid is the hare who runs fast and takes long rest while Gautam runs slow but takes short rest. Abid can run at 5 ms−1 while Gau
    6·1 answer
  • Identify the type of friction in each situation described below:
    5·1 answer
  • Question 6 of 10
    13·1 answer
  • A ray of light is incident on a plane mirror at an angle of 30 degree state the angle of reflection?​
    6·1 answer
  • Which of the following is related to a person’s self-concept?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!