A metallic ring of mass 1 kg has moment of inertia 1 kg m² when rotating about one of its diameters. It is molten and
remoulded into a thin uniform disc of the same radius. How much will its moment of inertia be, when rotated about its own
axis.​

Answers

Answer 1

Answer:

The moment of inertia of disc about own axis is 1 kg-m².

Explanation:

Given that,

Mass of ring m= 1 kg

Moment of inertia of ring at diameter [tex](I_{r})_{d}=1\ kg\ m^{2}[/tex]

The radius of metallic ring and uniform disc both are equal.

So, [tex]R_{r}=R_{d}[/tex]

We need to calculate the value of radius of ring and disc

Using theorem of perpendicular axes

[tex](I_{r})_{c}=2\times (I_{r})_{d}[/tex]

Put the value into the formula

[tex](I_{r})_{c}=2\times1[/tex]

[tex](I_{r})_{c}=2\ kg\ m^2[/tex]

Put the value of moment of inertia

[tex]MR_{r}^2=2[/tex]

[tex]R_{r}^2=\dfrac{2}{M}[/tex]

Put the value of M

[tex]R_{r}^2=\dfrac{2}{1}[/tex]

So, [tex]R_{r}^2=R_{d}^2=2\ m[/tex]

We need to calculate the moment of inertia of disc about own axis

Using formula of moment of inertia

[tex]I_{d}=\dfrac{1}{2}MR_{d}^2[/tex]

Put the value into the formula

[tex]I_{d}=\dfrac{1}{2}\times1\times2[/tex]

[tex]I_{d}=1\ kg\ m^2[/tex]

Hence, The moment of inertia of disc about own axis is 1 kg-m².


Related Questions


A person holds onto an object for 2 minutes but doesn't move the object. Is work done
on the object?

Answers

Answer:

No

Explanation:

If the angle between two forces increases, the magnitude of their resultant-
A Decreases
C. Remain unchanged
D. Decrease than decreases​

Answers

A is the answer to your question

4) Which of the following is NOT true about lysozyme:
A) it destroys bacteria
B) it cleanses and protects the eye
C) it is an enzyme
D) it is found in tears
E) it stimulates the rods and cones

Answers

The following that are not true are E and D
E is not true the rest is true

Select all the correct answers.
Bella is writing a research paper on ocean currents. Which two sources should she consult?
an article published by a university or a government agency
an article from a website containing advertisements
an article published in 2015 and updated a week ago
an article appearing in the blog post of a teenage surfer
an article that does not state the author’s name and details

Answers

Answer: I belive the answer is

an article published by a university or a government agency and an article published in 2015 and updated a week ago

Please answer the questions... I will surely mark you as the brainliest according to me :)

Answers

Answer:

(a) You can tell that have the same strength because they have attracted the same amount of paper clips.

(b) Iron is used in electromagnets because steel retained magnetic properties after the power was turned off, but in the iron, the paper clips dropped off right away.

14. After finishing her homework, Sue climbs up a 5.00 m high flight of stairs to her bedroom
Find the magnitude of Sue's weight
and how much
work Sue does in climbing the stairs if she
has a mass of 50.0 kg? (4.90 x 2 N, 2450J)

Answers

Explanation:

Given parameters:

Height  = 5m

Mass of Sue  = 50kg

Unknown:

Magnitude of Sue's weight  = ?

Work done by Sue = ?

Solution:

Weight is the vertical force exerted by a body in the presence of gravity.

Mathematically;

        W = mg

m is the mass

g is the acceleration due to gravity  = 9.8m/s²

  Weight  = 50 x 9.8  = 490N

Work done  = Force x distance = weight x height

 Work done  = 490 x 5 = 2450J

A slide projector projects images on a screen. a) If the slide is 15.5 cm from the lens and the lens has a focal length of 15 cm, how far away is the screen

Answers

Answer:

[tex]d_{i}=465 cm=4.65 m[/tex]  

Explanation:

Using the thin lens equation, we have:

[tex]\frac{1}{f}=\frac{1}{d_{o}}+\frac{1}{d_{i}}[/tex]

Where:

f is the focal length

d(o) is the distance of the object

d(i) is the distance of the image

[tex]\frac{1}{15}=\frac{1}{15.5}+\frac{1}{d_{i}}[/tex]

[tex]\frac{1}{15}-\frac{1}{15.5}=\frac{1}{d_{i}}[/tex]    

[tex]d_{i}=465 cm=4.65 m[/tex]          

Therefore, the screen is at 465 cm.

I hope it helps you!

explain why ionizing radiation is dangerous?​

Answers

Answer:

When the dose is high enough, ionizing radiation causes two types of harm to humans: direct tissue damage and cancer. Direct tissue damage happens when enough molecules are broken apart that the cells simply can no longer function. This can lead to radiation burns, radiation sickness, organ failure, and even death.

A 0.53 kg arrow leaves a bowstring at a velocity of 63 m/s. If the arrow was initially at rest and then the string applied a force on it for 7 x 10-3 seconds, what was the approximate average force in Newtons that acted on the arrow during this time?

Answers

Answer:

4770 N

Explanation:

Momentum is the product of mass and velocity and force is the change in momentum divided by change in time.

Given from the question;

Mass of arrow= 0.53 kg

Velocity of arrow = 63 m/s

Initial velocity of arrow = 0 m/s

Change in time = 0.007 s

Finding momentum after the arrow is released as;

p=m*v

p= 0.53 * 63

p= 33.39 kg*m/s

Force is the change in momentum divided by change in time;

F= 33.39 / 0.007

F= 4770 N

why does the force of air resistance affect the motion of a person traveling at high speed more than a person walking across the room?

Answers

Answer:

yes .

Explanation:

...

;-; :) have a good day

Answer:

because on air the speed is high compared to walking

An object has a mass of 20 kg and is placed 2 m above the ground. What is its gravitational potential energy? (PEg)

Answers

Answer:

392 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 20 × 9.8 × 2

We have the final answer as

392 J

Hope this helps you

Two hockey pucks with mass 0.1 kg slide across the ice and collide. Before
the collision, puck 1 is going 15 m/s to the east and puck 2 is going 12 m/s to
the west. After the collision, puck 2 is going 15 m/s to the east. What is the
velocity of puck 1?

Answers

Answer:

Puck 1 = 12 m/s

Explanation:

Conservation of energy

KE_1a + KE_2a = KE_1b + KE_2b

(1/2)(0.1kg)(15m/s)^2 + (1/2)(0.1kg)(12m/s)^2 = (1/2)(0.1kg)(V)^2 + (1/2)(0.1kg)(15m/s)^2

V = 12m/s

Answer:

12 m/s west

Explanation:

just did it

how much does a dog of 10kg mass weigh in newtons?

Answers

Answer:

98.0665 newtons

have a good day :]

Food Chain: is a sequence of feeding relationships which describes which organism eats another.
● The Direction of the arrow in a food chain means:_____________________​

Answers

Answer:

Naruto usamaki is the greatest hokagey in the leaf village

Explanation:

I took the test on edge

An air-filled capacitor stores a potential energy of 6.00 mJ due to its charge. It is accidentally filled with water in such a way as not to discharge its plates. How much energy does it continue to store after it is filled

Answers

This question is incomplete, the complete question is;

An air-filled capacitor stores a potential energy of 6.00 mJ due to its charge. It is accidentally filled with water in such a way as not to discharge its plates. How much energy does it continue to store after it is filled?

(The dielectric constant for water is 78 and for air it is 1.0006.)

Answer: it continue to store 0.07692 mJ after it was filled

Explanation:

Given that;

stored potential energy = 6.00 mJ = 0.006 J

dielectric constant for water K = 78

Energy stored  U = Q² / 2C = 0.006 J

C = ∈₀A/d { Air}

C = K∈₀A/d  { Water, k = 78 }

so

U = 0.006 / 78

U = 7.6723 × 10⁻⁵J

U = 0.07692 mJ

Therefore it continue to store 0.07692 mJ after it was filled

An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons. Calcuate the acceleration of the object

Answers

Answer:

this answer you question

Ben runs from a position 3 m west of Main Street to a new position 45 m
west of Main Street in 6 seconds. What is Ben's velocity?
O
A. 7 m/s east
B. 7 m/s west
C. 8 m/s west
O
O
D. 8 m/s east
SUBMIT

Answers

Answer:

Option B. 7 m/s West.

Explanation:

From the question given above, the following data were obtained:

Position 1 (P₁) = 3 m West

Position 2 (P₂) = 45 m West

Time (t) = 6 s

Velocity (v) =?

Next, we shall determine the displacement of Ben. This can be obtained as follow:

Position 1 (P₁) = 3 m West

Position 2 (P₂) = 45 m West

Displacement =?

Displacement = P₂ – P₁

Displacement = 45 – 3

Displacement = 42 m West

Finally, we shall determine the velocity of Ben. This can be obtained as follow:

Time (t) = 6 s

Displacement (d) = 42 m West

Velocity (v) =?

v = d/t

v = 42 m West / 6 s

v = 7 m/s West

Thus the velocity of Ben is 7 m/s West

I need help with this please

Answers

Answer:

1. The respiratory system functions when our involuntary nervous system sends impulses to the muscles in the diaphragm; thereby, causing the lungs to expand and contract.

2. The respiratory system oxygenates the blood which is vital for bodily function as oxygenated blood is carried from your lungs to the left side of your heart, to be circulated throughout the body. Furthermore deoxygenated blood is carried back to the right side of your heart to get oxygenated once more.

3. The other body systems that are crucial for the lungs to function are the nervous system and the muscular system.

4. without the raspatory system the body wouldn't receive any oxygen and the brain would slowly die. therefore, without the brain the heart would stop functioning and atrophy etc.

Explanation:

What is the standard form for 2 × 10−3 ?

Answers

Answer:

17

Explanation:

2 x 10 = 20

20-3 = 17

Your answer is 17 bc you have to use PEMDAS multiplication is before subtraction

a suspension bridge cable is connected to its anchor at a 20 degree angle. calculate the vertical component force on the anchor by the cable. ​

Answers

The question is missing some parts. Here is the complete question.

A suspension bridge cable is connected to its anchor at a 20° angle. Find the vertical and horizontal component of the force on the anchor by the cable.

Answer: [tex]F_{x}=[/tex] 14095.4 N

              [tex]F_{y}=[/tex] 5130.3 N

Explanation: The force applied to the anchor is not perpendicular to the horizontal plane. So, it can be decomposed into 2 components: a vertical component, which is on the y-axis, and a horizontal component, which is on the x-axis.

The force and its components forms a right triangle, so we can calculate the components by using trigonometric relations:

Horizontal

[tex]cos(20)=\frac{F_{x}}{F}[/tex]

[tex]F_{x}=F.cos(20)[/tex]

[tex]F_{x}=15,000(0.9397)[/tex]

[tex]F_{x}=[/tex] 14,095.4 N

Vertical

[tex]sin(20)=\frac{F_{y}}{F}[/tex]

[tex]F_{y}=Fsin(20)[/tex]

[tex]F_{y}=[/tex] 15,000(0.3420)

[tex]F_{y}=[/tex] 5,130.3 N

The vertical and horizontal components of force on the anchor by the cable are 5130.3 N and 14095.4 N, respectively.



A person lifts a heavy load to a vertical height of 2.0 m in 3 seconds. If he/she had done this more slowly in 6 seconds, the

work on the load would have been:

Four times as great

half as great

the same

twice as great

Answers

Answer:

If the heavy load had been lifted more slowly, the work done on the load would have been the same.

Explanation:

Work done on an object is given as;

W = Fd

where;

F is the force applied on the object

d is the displacement of the object

for the given question, the applied force on the load = mg (mass of the load multiplied by acceleration due to gravity).

Also, the displacement of the object = vertical height the load was lifted.

W = mgh

The work done on the load is independent of time.

Thus, if the heavy load had been lifted more slowly, the work done on the load would have been the same.

A person lifting a heavy load to a vertical height of 2.0 m in 3 seconds does the same work as if he/she lifts it in 6 s.

A person lifts a heavy load to a vertical height of 2.0 m in 3 seconds.

We want to compare the work done with the one that he/she would have done if the process had taken 6 seconds.

What is work?

In physics, work (W) is the energy transferred to or from an object via the application of force (F) along a displacement (s).

W = F × s

Given the displacement is the same (2.0 m) and the force needed is also the same (weight of the object), the work is the same for both processes.

A person lifting a heavy load to a vertical height of 2.0 m in 3 seconds does the same work as if he/she lifts it in 6 s.

Learn more about work here: https://brainly.com/question/25064916

Rogue waves in the ocean were considered a myth for a very long time, fanciful and fabricated tales of fishermen too long in the sun and on the sea. What basic physics mechanism provides an explanation of their existence

Answers

Answer:

D. Constructive Interference of waves

Explanation:

Rogue waves occur when wave forms arrive suddenly in oceans, thus causing ships to sink within a very short time. The explanation scientists have for this is constructive interference magnified by second-order bound non-linearities. Waves are meant to arrive in a particular direction. During constructive interference, these waves arrive from different directions and in an organized way thus increasing the height of the wave.

This increased height is as a result of the waves not being in a linear form and having sharp peaks. There is also a significant difference between the crests and troughs. Scientists arrived at this explanation for the rogue waves though three experiments conducted in 1997, 2007, and 2015.

What is the potential energy of a 2500 g object suspended 5 kg above the earth's surface?
kilograms.

Answers

Answer:

[tex]potential \: energy = mgh \\ = ( \frac{2500}{1000} ) \times 10 \times 5 \\ = 125 \: newtons[/tex]

if height is 5 m

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.1 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building

Answers

Answer:

[tex]\frac{dh}{dt}=-0.4125 m/s[/tex]

Explanation:

The very first thing we can do here is to draw a sketch of the situation the problem is presenting. (See attached picture)

As you may see in the picture, we can suppose the spotlight is directly located on the ground so the light of the spotlight together with the person and the wall make two similar triangles.

In this case we need to think about the dimensions of the triangle that will change over time. We will call them:

x= distance between the spotlight and the man.

h= height of the shadow.

So we can build a relation between the height and the length of each triangle:

[tex]\frac{h}{12}=\frac{2}{x}[/tex]

the distance between the spotlight and the wall is constant, so I can directly write the 12 in my equation and the height of the man is constant as well, so I can write the 2 directly into the equation.

Next, we can solve the equation for h (since we are interested in figuring out how fast the height of the shadow is decreasing) so we get:

[tex]h=\frac{24}{x}[/tex]

So next, we need to take the derivative of the equation, since the derivative of a position function will give us the velocity at which that position is changing.

First we rewrite the equation like this:

[tex]h=24x^{-1}[/tex]

and take the derivative:

[tex]dh=-24x^{-2}dx[/tex]

we can rewrite the derivative like this:

[tex]\frac{dh}{dt}=-\frac{24}{x^{2}} \frac{dx}{dt}[/tex]

where:

dh/dt is the velocity at which the height of the shadow is decreasing (that's why our equation has a negative sign in front of it).

dx/dt is the velocity at which the value of x is increasing. In other words, how fast the man is moving away from the spotlight.

So we can go ahead and substitute:

we wish to find the velocity at which the shadow's height is decreasing when the distance between the man and the building is 4m, so in this case, x=12-4=8m

[tex]\frac{dh}{dt}=-\frac{24}{8^{2}}(1.1 m/s)[/tex]

so we get:

[tex]\frac{dh}{dt}=-0.4125 m/s[/tex]

2 benefits of yoga with explanation

Answers


increased flexibility.
increased muscle strength and tone.
improved respiration, energy and vitality.
maintaining a balanced metabolism.
weight reduction.
cardio and circulatory health.
improved athletic performance.
protection from injury.



A 1248 kg car is pulled by a tow truck that has an acceleration of 2.0 m/s2. What is the
net force on the car?

Answers

Answer: = 2,496 N

Explanation:

Force is the push or pull on an object and it is calculated as:

= Mass * Acceleration

= 1,248 * 2.0

= 2,496 N

A woman holds a frozen smoothie in her hand on a warm
day.
Which photo shows the direction of thermal energy transfer?
O A.↕️
B
C ⬆️
D⬇️

Answers

Answer:

C

Explanation:

The thermal energy from her hand will go up into the smoothie.

Answer:

C bois

Explanation:

the motion diagrams shown above represent cyclist 1 in the third panel above?

Answers

Answer:

A

Explanation:

Change of velocity is defined as acceleration and acceleration accounts for both change is direction and speed

What is the purpose of the Bill of Rights?

to inspire the governments of other nations

to limit the rights of individual citizens

to explain the procedure for amending the Constitution

to guarantee freedoms that belong to every citizen

Answers

Answer:

i think it is To limit the rights of individual citizens

Explanation:

PLz help I will give you brainliest for real
How you feel on days when you do exercise compared to days when you don't exercise

Answers

Answer:

When i do exercise i feel great and happy afterwards ( there is a proven fact that after you go on a run, play a sport, or exercise you are proven to be more upbeat )

When i don't exercise i feel kinda lazy and tired mostly bored.

Other Questions
Alpha and Beta are partners who share income in the ratio of 1:2 and have capital balances of $34,200 and $88,500, respectively, at the time they decide to terminate the partnership. After all noncash assets are sold and all liabilities are paid, there is a cash balance of $80,700. What amount of loss on realization should be allocated to Alpha Dont comment unless you want a lot of notifications!!!What are you if your Mexican black Asian white Hawaiian Although Kamira is interested in reading about massive ocean liners like the lusitania, her best friend Yulio has always been fascinated by smaller boats called schooners.What change, if any, should be made to this sentence? A. No change is necessary. B. Change ocean to Ocean. C. Change lusitania to Lusitania. D. Change schooners to Schooners. Changing which factor would NOT influence the total kinetic energy of a moving shopping cart?Question 2 options:Decreasing the mass or the speed of the cartincreasing the mass of the cart by adding items while movingincreasing the rate of speed you push it down the aisleTurning a different direction at the end of the aisle while continuing to move at the same speed. Find Percent of Change1.) 200 to 500. is the answer 40? if not please explain... Should stores sell clothing that some might think is offensive? Why or Why not can u guys help my homework? The leadership position where a nurse oversees the quality of patient care and treatment costs is called:A. Charge nurseB. Nurse managerC. Case management nurseD. None of the above Select the correct answer from each drop-down menu.Complete the following paragraph about the development of the study of geography. "Explain how Williams has explored the elements of music in the piece, 'Hedwig's Theme', in order to effectivelyportray magic and fantasy in the film Harry Potter.' Do all rocks folow the same path through the rock cycle? Explain. Solve: a + 4 = 48a = 43a = 51a = 44a = 52 Question 3 of 10Which of these must be true for an agricultural technique to be consideredsustainable?A. It must meet society's needs while minimizing environmentalimpact.O B. It must protect the environment at all costs.OC. t must serve present society at the cost of future generations.D. It must use only traditional farming practices. What part does chlorophyll play in photosynthesis? A. It transports sugar and water to plant leavesB. It uses suns energy to cookwater and carbon dioxideC. It drinks water from the soil around the roots of the plantD. Breathes the air around the plants and gets carbon dioxide Write the equation of the function g(x) if g(x) = f(x - 3) +1 and f(x) = x3 + 1. What boundary is present at the Philippine plate and the Eurasian plate?A convergent boundary resulting in earthquakes and volcanic activityB transform boundary resulting in fault lines and shallow earthquakesC divergent boundary resulting in mid-ocean ridge and creation of new sea floorD convergent boundary resulting in mid-ocean ridge and widening of ocean basic Calculate the distance between the 2 points. A(-4, 3) and B(-7, 0) Emilio pushes a 100 kg freshman with 200 N of force. How much is the freshman accelerated? I WILL MARK BRAINLIST! TIS IS SIMPLE PROBABILITY. A bag of game markers contain 4 red markers, 5 blue markers, 3 yellow markers, and 3 green markers. If Mario reaches into the bag and pulls out a game marker without looking, what is the probability he will NOT pull out a blue game marker?A. 1/2B. 1/3C. 4.15D. 2/3 Eugene had $24 to spend on three pencils.After buying them he had $18. Howmuch did each pencil cost?