What is the total moment of inertia of a system of several objects rotating together
Answers
Answer:
Lets take
Point mass of objects are m₁ ,m₂ ,m₃ ---and so on
The distance from axis of rotation is r₁ ,r₂ ,r₃ ----and so on
We know that moment of inertia I given as
I=∫dm .r² kg.m²
I = m₁ r₁² +m₂r₂²+m₃r₃² ------------- kg.m²
Note-
1 .For point mass
I= m r²
2.For disk
3. For circular ring
I= m r²
4. For rod length of L
If all the objects are rotating together then the total moment of inertia will be summation of the moment of inertia of the all objects
I(total) = I₁ +I₂ +I₃+ ------kg.m²
The total moment of inertia of a system of several objects can be expressed as : I = I₁ + I₂ + I₃ + ----- Kgm²
Assuming
The point masses of the objects are : M₁ , M₂, M₃
Distance from axis of rotation are ; r₁, r₂, r₃
Given that :
moment of inertia ( I ) ∫ dm*r² kg.m² = m₁ r₁² + m₂r₂² + m₃r₃²
For every type of object Mass is involved
- For a point mass : I = mr²
- For a circular ring : I = mr²
- For a rod : I = mL² / 12
- For a disk : I = mr² / 2
Summing up these moment of inertias since they are rotating together
I( total ) = I₁ + I₂ + I₃ + ----- Kgm²
Hence we can conclude that The total moment of inertia of a system of several objects can be expressed as : I = I₁ + I₂ + I₃ + ----- Kgm².
Learn more about moment of inertia : brainly.com/question/7020147
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B. A 250-N force moves an object 1 m.
C. A 25-N force moves an object 8 m.
D. A 600-N force is applied to an object and moves it 0 m.
Answers
Work = (magnitude of the force) x (distance in the direction of the force)
A 100-N force lifts an object 3 m. ==> (100 x 3) = 300 joules
B. A 250-N force moves an object 1 m. ==> (250 x 1) = 250 joules
C. A 25-N force moves an object 8 m. ==> (25 x 8) = 200 joules
D. A 600-N force is applied to an object
and moves it 0 m. ==> (600 x 0) = no work
Winner ! Least work.
how do you calculate this
Answers
(That's about 10% less than on Earth.)
2). Look up the radius of Venus. It's 6051.8 km.
(That's about 5% less than Earth's.)
3). Remember that the gravitational field (acceleration, force) changes
opposite to the square of the distance from the planet ... or the distance
between any two masses that are gravitating.
Now we have enough information to do the calculating. Notice that the question
only asks for the planet's "gravitational field" (acceleration) way out there. That
has nothing to do with the satellite's mass, or whatever you decide to put out there,
or even if there's nothing out there at all. It's just a characteristic of Venus at that
distance from it.
The distances we need to compare are the distances from the center of Venus.
On the surface (distance from the center is the radius of Venus), it's 6,051,800 m.
In the orbit, it's 37,000,000 m.
The ratio is (37,000,000 / 6,051,800) = about 6.1 .
The gravity way out in the orbit is less than on the surface, and by the
same amount as the square of the distance ratio.
Surface gravity = 8.87
Gravity out at the orbit = 8.87 divided by (the distance ratio)²
Gravity = 8.87 / (6.1)²
Better way: Gravity = 8.87 x (6,051,800/37,000,000)² = 0.2373 m/sec²
Answers
The particles are not compressible.
The particles are charged.
The particles vibrate.
Answers
Answer:
The particles have very high speeds.
Explanation:
the force between gas molecules is very weak so the molecules are very least bounded to each other.
Due to very less or weak interaction between the molecules the gas molecules can travel easily in the space.
Since the speed of gas molecules are random and the direction of motion is not influenced by the force between the molecules so here the gas can be compressed easily.
Due to this high speed of gas molecules they do not have a finite shape and it will obtain the shape of the container in which it is stored
So correct answer will be
The particles have very high speeds.
give the answer in watts to three significant figures
Answers
Work done = mgh
Mass, m = 33kg ( Am presuming it is 33 kg).
h = 85 m.
Work done = 33 * 9.81* 85 = 27517.05 J.
Time taken.
Since object was dropped from height, it fell under gravity.
Using H = ut + (1/2) * gt^2. u = 0.
H = 1/2 gt^2.
t = (2H/g) ^ (1/2)
t = (2*85/9.81) ^ 0.5 = 4.1628 s.
Power = 27517.05 / 4.1628 = 6610.23 Watts.
= 6610 W to 3 S. f.
B. The atomic weight of the element
C. The atomic number of the element
D. The number of neutrons in the element
Answers
Answer : Molar mass is equal to the atomic weight of the element.
Explanation :
The ratio of the mass of a given substance to the amount of substance is called as the molar mass of that substance. It is denoted by M. Its SI unit is kg/mol but it is usually expressed in g/mol.
In simpler form it is equal to the atomic weight of the substance.
For example, the molar mass of water can be calculated as :
Hence, the correct option is (B) "The atomic weight of the element".