Is there any induced current in the pickup coil when the polarity of the bar magnet is flipped?

Answers

Answer 1

Answer:

Faraday's law , he direction of the magnetic field changes by 180º, in the polarity inversion processes, induces a voltage.  

Explanation:

For this exercise let's use Faraday's law

          E = - dФ / dt

          Ф = B.A = B A cos θ

where B is the magnetic field, A is the area and θ is the angle between the field line and the normal to the area.

We can see that an electromotive force (voltage) is indexed when there is a variation of the field B, a variation of the area and change of the angle or when there is a combinational of them.

In this case, the magnitude of the field is constant, as the wire is rigid metal, the area is constant, but the direction of the magnetic field changes by 180º, in the polarity inversion processes, for which reason each change induces a voltage.

If a voltage is created in the ring, which has a resistance, a current is also generated in it.

Therefore the answer is If a current is created in the hoop


Related Questions

When an x-ray photon passes through matter it undergoes a process called:_________.

Answers

Answer:

when an x-ray passes trough matter, it undergoes a process called attenuation

5. Haley throws her ball downward with speed v from height 2h. Simultaneously, Joe drops his ball from rest at height h. What should v be so that the two balls hit the ground at the same time

Answers

Answer:

We know that the second equation of motion is

S= ut + 1/2a²

And S is displacement and u is initial velocity

So in the case of Haley lets take downwards as positive Y-axis

S = 2h and

initial velocity = v

a = g (acceleration due to gravity = 9.8)

Substituting

2h = vt + 1/2gt²

And for Joe we take ownwards as positive Y-axis

S = h and

initial velocity = 0 (since the ball is dropped from rest)

a = g

h = 0x t + 1/2gt2²

t2= √ 2h/g

Now since both balls reach ground at same time: t1=t2

So

putting value of t2 in Hayley's equation:

2h= v(√2h/g) + 1/2 g( √2h/g)²

So v= √gh/2

A vector is parallel to the y axis, what is it x component?

Answers

Answer:

Explanation:

A vector is parallel to the y axis .

Let its magnitude be A . So the vector can be represented as A j .

where i and j are unit vectors in x and y axis direction .

The x component of A j will be dot product of A j with i

The x component of A j = A j . i

= A x 0      [  Since j . i = 0 ]

= 0

According to Einstein, increasing the brightness (or intensity) of a beam of light without changing its color will increase (circle all that apply):

Answers

The question is incomplete,so the complete question is as follows:

According to Einstein, increasing the brightness (or intensity) of a beam of light without changing its color will increase (circle all that apply):

A) the number of photons per second traveling in the beam.

B) the energy of each photon.

C) the speed of the photons.

D) the frequency of the light.

E) the wavelength of the photons

Answer:

A)  

Explanation:

According to Einstein, an increase in the intensity or brightness of light beam will increase the number of photons over a given time interval.

It means that the energy emitted will depend on the energy of individual photon rather than the intensity of the incoming light.

Hence, the correct option is "A)"

If 1.34 ✕ 1020 electrons move through a pocket calculator during a full day's operation, how many coulombs of charge moved through it?

Answers

Given :

Number of operations move through a pocket calculator during a full day's operation , [tex]n=1.34 \times 10^{20}[/tex] .

To Find :

How many coulombs of charge moved through it .

Solution :

We know , charge in  one electron is :

[tex]e^-=-1.6\times 10^{-19}\ coulombs[/tex]

So , charge on n electron is :

[tex]C=e^-\times n\\C=-1.6\times 10^{-19}\times 1.34\times 10^{20} \ C\\C=-21.44\ C[/tex]

Therefore , -21.44 coulombs of charge is moved through it .

Hence , this is the required solution .

You ride your bike at 12.1 m/s directly away from your neighbor's trumpet sound and toward the sound of another neighbor's trombone and find that you hear both instruments at exactly the same pitch. The trumpeter is practicing her middle C at a frequency of 262 Hz . What frequency is the trombonist producing? The speed of sound in air is 337 m/s .

Answers

Answer:

243.83 Hz

Explanation:

Given the following :

Recall :

When source is stationary and observe is in motion:

Moving away from the source :

Observed frequency f₀ = f(v-v₀/v)

Moving towards the source :

f₀ = f(v+v₀/v)

Hence ;

v₀ = 12.1 m/s ; f of trumpeter = 262 Hz ; speed of sound (v) = 337m/s

f(v+v₀/v) = 262(v-v₀/v)

f = 262(v-v₀/v) / (v+v₀/v)

f = 262(v-v₀/v) * (v / v+v₀)

f = 262 (v-v₀ / v+v₀)

f = 262 ((337 - 12.1) / (337 + 12.1))

f = 262 (324.9 / 349.1)

f = 262 (0.93067888857)

f = 243.83

f = 244Hz

the process of _ is when tow atoms combine to form a larger atom, releasing energy

Answers

Answer:Nuclear fusion is the process by which two or more atomic nuclei join together, or “fuse,” to form a single heavier nucleus. During this process, matter is not conserved because some of the mass of the fusing nuclei is converted to energy, which is released.

Explanation:

Atoms of different elements can combine to make new substances. A molecule is formed when two or more atoms join together chemically. If atoms combine that are of two or more different elements, we call that a compound. ... When two hydrogen atoms combine with one oxygen atom, it becomes the compound water.

Answer:

nuclear fusion

Explanation:

Determine the magnitude of the current flowing through a 4.7 kilo ohms resistor if the voltage across it is (a) 1mV (b) 10 V (c) 4e^-t

Answers

Answer:

213 nA

2.13 mA

851e^-t μA

Explanation:

We have a pretty straightforward question here.

Ohms Law states that the current in an electric circuit is directly proportional to the voltage and inversely proportional to the resistance in the circuit. It is mathematically written as

V = IR, since we need I, we can write that

I = V/R

a) at V = 1 mV

I = (1 * 10^-3) / 4.7 * 10^3

I = 2.13 * 10^-7 A or 213 nA

b) at V = 10 V

I = 10 / 4.7 * 10^3

I = 0.00213 A or 2.13 mA

c) at V = 4e^-t

I = 4e^-t / 4.7 * 10^3

I = 0.000851e^-t A or 851e^-t μA

Solve for x
–30 = 5(x + 1)

Answers

Answer:

-30=5(x+1) is -7

Explanation:

distribute flip subtract 5 from both sides divide both sides by 5

-30=(5)(x)+(5)(1) (Distribute)
-30=5x+5
Flip equation
5x+5=-30
Subtract 5 from both sides
5x+5-5=-30-5
5x=-35
Divide both sides by 5
X=-7

You travel east for 20 miles and then west for 10 miles. What is your average speed and velocity if the entire
trip takes 1 hour. Answer in mile/hour.

Answers

Answer:

30 miles/hour, and 2.24 miles/hour

Explanation:

What is average speed?

It is the total distance traveled divided by the time taken to cover the total distance traveled

Given that the various distances are

20 miles and 10 miles

the total distance traveled is 20+10= 30 miles

the average speed is expressed as

average speed= total distance/time taken

average speed= 30/1

average speed= 30 miles/hour

The average velocity is a vector quantity

the velocity is the average displacement divided by time taken

[tex]displacement= \sqrt{1^2+2^2} \\\\displacement= \sqrt{1+4} \\\\displacement=2.24 miles[/tex]

average velocity= displacement / time

average velocity= 2.24 /1

average velocity= 2.24 miles/hour

Assume we have a tower of 24 disks to move, and each move (moving one disk from one peg to another) takes one minute. The total time taken will be:

Answers

Answer: (b) Approximately 32 years .

Explanation:

Moves = 2n-1 .

It takes (224-1) are the minimum number of moves required to move 24 disks, which is 16777216.

Now each move takes 1 minute, therefore total time in (mintes) = 16777216 .

Now in one year we have 525600 minutes.

Therefore time in years = 16777216/525600 = 31.920121765601217656012176560122 = 32 years (approx)

Interstellar space is filled with radiation of frequency 160.23 GHz.
This radiation is considered to be a remnant of the "big bang." What is the corresponding blackbody temperature of this radiation?

Answers

Answer:

1.548K

Explanation:

Given that f= 160.23GHz

c= 3E8m/s

b= 2.898*10^-3mk

So using

(Lambda)m x T= b

So T = b/ lambda

But wavelength ( lambda) = c/f

So T = bf/c

= 2.898E-3x 160.23E9/3E8

=1.548K

The feature that characterizes simple columnar epithelium of the digestive tract is the presence of dense microvilli.

Simple columnar epithelium is a type of tissue that lines the digestive tract, including the stomach and intestines. It is composed of a single layer of column-shaped cells that are tightly packed together. One distinguishing feature of this epithelium is the presence of dense microvilli on the apical surface of the cells. Microvilli are tiny finger-like projections that increase the surface area of the cells, facilitating absorption and secretion processes. These dense microvilli help in the absorption of nutrients and the secretion of digestive enzymes, allowing for efficient digestion and absorption of nutrients in the digestive tract. The microvilli significantly increase the surface area available for these functions, enabling more efficient nutrient absorption. Therefore, the correct answer is (d) dense microvilli.

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A 0.250-kg rubber ball is dropped from a height of 2.00 m. It hits the floor and rebounds to a height of 1.80 m. What is the magnitude of impulse the floor applies to the ball

Answers

Answer:

The magnitude of impulse the floor applies to the ball is 3.05 kg.m/s.

Explanation:

Given;

mass of the rubber ball, m = 0.25 kg

height of drop, h₁ = 2 m

height of rebounds, h₂ = 1.8 m

Determine the initial velocity of the ball as it moves downwards;

[tex]v_i = \sqrt{2gh}\\\\ v_i = \sqrt{2*9.8*2}\\\\v_i = 6.26 \ m/s[/tex]this initial velocity is acting downwards = - 6.26 m/s

Determine the final velocity of the ball as it rebounds

[tex]v_f = \sqrt{2gh} \\\\v_f = \sqrt{2*9.8*1.8}\\\\ v_f = 5.94 \ m/s[/tex]this final velocity is acting upwards = 5.94 m/s

Impulse is given by;

J = mΔv

[tex]J = m(v_f-v_i)[/tex]

J = 0.25(5.94 - (6.26))

J = 0.25(5.94 + 6.26)

J = 3.05 kgm/s

Therefore, the magnitude of impulse the floor applies to the ball is 3.05 kg.m/s.

The variables n1 and n2 in Snell’s Law of Refraction depend upon

Answers

Answer:

It depends on the materials of the medium in involved

A jogger runs 4 km in 0.4 hr, then 8 km in 0.8 hr. What is the average speed of the jogger?

Answers

Answer:

2km

Explanation:

answers If the motor is to accelerate the elevator car upward at 1.8 m/s2, how much torque must it generate

Answers

Answer:

Hello your question is incomplete attached is the missing diagram and solution

One elevator arrangement includes the passenger car, a counterweight, and two large pulleys, as shown in (Figure 1). Each pulley has a radius of 1.2 m and a moment of inertia of 410 kg⋅m2. The top pulley is driven by a motor. The elevator car plus passengers has a mass of 3000 kg, and the counterweight has a mass of 2600 kg.

a) If the motor is to accelerate the elevator car upward at 1.8 m/s2, how much torque must it generate? Express your answer to two significant figures and include appropriate units.

Answer : 6030 N.m ≈ 6000 N.m

Explanation:

To determine how much torque the motor accelerating at 1.8 m/s^s will generate we will have to determine T1 ( tension  generated for upward acceleration in the rope  ) and Tg ( tension  generated in the rope when there is a counterweight accelerating downwards)

Torque in the pulley (T2) = (T1 - Tg ) r

torque generated by motor = T1 + T2 = 1230 + 4800 = 6030 N.m to two significant figures = 6000 N.m

r = 1.2

a = 1.8

attached below is the remaining part of the solution

Which event took place during Copernican revolution, When most people started to believe in a heliocentric model of the solar system

Answers

Answer:

Copernicus rediscovered Aristarchus’s heliocentric model

Explanation:

B HOPE IT HELPSTOOK THE TEST

dolphin swims due east for 1.90 km, then swims 7.20 km in the direction south of west. What are the magnitude and direction of the vector that will take the dolphin back to its starting point? (Enter the magnitude in km and the direction in degrees north of east.) Hint

Answers

Answer:

Explanation:

We shall represent all the displacement in terms of vector . We shall consider east as i , and north as j . south of west direction will be represented by - i - j .

displacement of 1.9 km due east

D₁ = 1.9 i

vector representing south of west = - i - j

unit vector = - i - j / √ 2

7.2 km south of west = 7.2 ( - i - j ) / √ 2

D₂ = - 5.09 ( i + j )

Total displacement

= D₁ + D₂

= 1.9 i  - 5.09 ( I + J )

D = - 3.19 i - 5.09 j .

magnitude of D = √ ( 3.19² + 5.09² )

= 6 km .

Direction of D

Tanθ = 5.09 / 3.19 = 1.59

θ = 58°

So direction will be 58° south of west .

To reach the starting point , he shall have to go in opposite direction .

So he shall have to go in the direction of north of east at angle 58° by a displacement of 6 km .

What is the maximum power that can be delivered by a 1.4-cm-diameter laser beam propagating through air

Answers

Complete Question

The maximum electric field strength in air is 4.0 MV/m. Stronger electric fields ionize the air and create a spark. What is the maximum power that can be delivered by a 1.4-cm-diameter laser beam propagating through air

Answer:

The  value  is  [tex]P = 3.270960 *10^{6} \  W[/tex]

Explanation:

From the question we are told that

   The  electric field strength is  [tex]E = 4.0 \ M \ V/m = 4.0 *10^6 \ V/m[/tex]

    The  diameter is  [tex]d = 1.4 \ cm = 0.014 \ m[/tex]

Generally the radius is mathematically represented as

        [tex]r = \frac{d}{2}[/tex]

=>     [tex]r = \frac{0.014}{2}[/tex]

=>    [tex]r = 0.007 \ m[/tex]

Generally the cross-sectional area is mathematically represented as

        [tex]A =  \pi r^2[/tex]

        [tex]A =  3.142 *  (0.007)^2[/tex]

       [tex]A = 0.000154 \ m^2[/tex]

Generally the maximum power that can be delivered is mathematically represented as

        [tex]P = \frac{c *  \epsilon_o  *  E^2 *  A }{2}[/tex]

Here c is the speed of light with value  [tex]c =  3.0*10^{8} \  m/s[/tex]

        [tex]\epsilon_o[/tex] is the permittivity of free space with value  [tex]\epsilon_o  =  8.85 *10^{-12}  \ m^{-3} \cdot kg^{-1}\cdot  s^4 \cdot A^2[/tex]

     [tex]P =  \frac{3,0*10^8 *  8.85*10^{-12} *  (4 *10^6)^2 * 0.00154}{ 2}[/tex]

       [tex]P = 3.270960 *10^{6} \  W[/tex]

         

To calculate an answer to the correct number of significant figures, you must complete all calculations first and then round your final answer as the very last step. In Part C, you are asked to calculate the volume of a rectangular prism that has a length of 5.6 cm, a width of 2.1 cm, and a height of 6.6 cm. You can calculate the volume of a prism by multiplying the area of the base times the height. You already calculated the area of the base as 2.1cm×5.6cm in Part A. Part B What value should you use as the area of the base when calculating the answer to Part C? What value should you use as the area of the base when calculating the answer to Part C?

Answers

Answer:

B) We should use the complete value of 11.76 cm², because the rounding off is done at the end of all calculations. Until then exact and complete values should be used.

C) Volume of Prism = 78 cm³

Explanation:

PART C:

Since, the volume of prism s given by the following formula:

Volume of Prism = (Area of Base of Prism)(Height of Prism)

Therefore,

Height of Prism = 6.6 cm

Area of Base of Prism = Length x Width

Area of Base of Prism = 5.6 cm x 2.1 cm

Area of Base of Prism = 11.76 cm²

Hence, the equation gives:

Volume of Prism = (11.76 cm²)(6.6 cm)

Volume of Prism = 77.616 cm³

Since, the initial values had 2 significant figures, so rounding off to two significant figures:

Volume of Prism = 78 cm²

PART B:

We should use the complete value of 11.76 cm², because the rounding off is done at the end of all calculations. Until then exact and complete values should be used.

A class contains 9 boys and 11 girls. In how
many
ways
can a committee of two boys
and two
girls be formed
in the class?​

Answers

I’m guessing because it’s saying Two boys into girls but you didn’t say specifically just to boys or just two girls so in groups it could be four people in a group 2 girls and two boys in the group which is one way or just two boys or just girls that’s the second way

If the diameter of the low-power field is 1.5 mm, an object that occupies approximately a third of that field has an estimated diameter of

Answers

Answer:

d' = 0.86 mm

Explanation:

First we need to find the area of low power field:

A = πd²/4

where,

A = Area = ?

d = diameter = 1.5 mm

Therefore, using the value of diameter, we get:

A = π(1.5 mm)²/4

A = 1.767 mm²

Now, the new object occupies 1/3rd of this area:

A' = (1/3)A

πd'²/4 = (1/3)A

d'² = (4/3π) A

d'² = (4/3π)(1.767 mm²)

d' = √(0.75 mm²)

d' = 0.86 mm

What is the cell emf for the concentrations given? Express your answer using two significant figures.

Answers

Complete Question

A  voltaic cell is  constructed with two [tex]Zn^{2+}[/tex][tex]- Zn[/tex] electrodes. The  two cell compartment have  [tex][Zn^{2+}] =  1.6 \ M[/tex] and  [tex][Zn^{2+}] =  2.00*10^{-2} \  M[/tex] respectively.

What is the cell emf for the concentrations given? Express your answer using two significant figures

Answer:

The value is   [tex]E =  0.06 V[/tex]

Explanation:

Generally from the question we are told that

   The  concentration of [tex][Zn^{2+}][/tex] at the cathode is  [tex][Zn^{2+}]_a =  1.6 \ M[/tex]

    The  concentration of [tex][Zn^{2+}][/tex] at the anode is [tex][Zn^{2+}]_c =  2.00*10^{-2} \  M[/tex]

Generally the the cell emf for the concentration is mathematically represented as

     [tex]E =  E^o - \frac{0.0591}{2} log\frac{[Zn^{2+}]a}{ [Zn^{2+}]c}[/tex]

Generally the [tex]E^o[/tex]is the standard emf of a cell, the value is  0 V

So

      [tex]E =  0  -  \frac{0.0591}{2}  * log[\frac{ 2.00*10^{-2}}{1.6} ][/tex]

=>      [tex]E =  0.06 V[/tex]

A uniform disk, a thin hoop, and a uniform sphere, all with the same mass and same outer radius, are each free to rotate about a fixed axis through its center. Assume the hoop is connected to the rotational axis by light spokes. With the objects starting from rest, identical forces are simultaneously applied to the rims, as shown. Rank the objects according to their angular acceleration, least to greatest.1. disk, hoop, sphere2. disk, sphere, hoop3. hoop, sphere, disk4. hoop, disk, shpere5. sphere, disk, hoop6. sphere, hoop, disk

Answers

Answer:

4 hoop, disk, sphere

Explanation:

Because

We are given data that

Hoop, disk, sphere have Same mass and radius

So let

And Initial angular velocity, = 0

The Force on each be F

And Time = t

Also let

Radius of each = r

So let's find the inertia shall we!!

I1 = m r² /2

= 0.5 mr² the his is for dis

I2 = m r² for hoop

And

Moment of inertia of sphere wiil be

I3 = (2/5) mr²

= 0.4 mr²

So

ωf = ωi + α t

= 0 + ( τ / I ) t

= ( F r / I ) t

So we can see that

ωf is inversely proportional to moment of inertia.

And so we take the

Order of I ( least to greatest ) :

I3 (sphere) , I1 (disk) , I2 (hoop) , ,

Order of ωf: ( least to greatest)

That of omega xf is the reverse of inertial so

hoop, disk, sphere

Option - 4

The ranking of the objects according to their angular acceleration is option 4 hoop, disk, sphere.

Ranking of the objects:

Since

Hoop, disk, sphere contain Same mass and radius

So here

Initial angular velocity, = 0

The Force on each be F

And Time = t

Radius of each = r

Now

I1 = m r² /2

= 0.5 mr² his is for dis

I2 = m r² for hoop

And

Moment of inertia of sphere should be

I3 = (2/5) mr²

= 0.4 mr²

Now

ωf = ωi + α t

= 0 + ( τ / I ) t

= ( F r / I ) t

here,

ωf is inversely proportional to moment of inertia.

Now

Order of I ( least to greatest ) :

I3 (sphere) , I1 (disk) , I2 (hoop) , ,

Order of ωf: ( least to greatest)

That of omega xf is the reverse of inertial so

Therefore, the fourth option is correct.

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An ideal gas is compressed in a well-insulated chamber using a well-insulated piston. This process is

Answers

Answer:

The options are

A) isochoric.

B) isothermal.

C) adiabatic.

D) isobaric.

The answer is C. Adiabatic

Adiabatic process involves zero loss or gain of heat in a system. This is usually depicted as Q= 0.

An ideal gas being compressed in a well-insulated chamber using a well-insulated piston involves the use of adiabatic process. The insulated chamber and piston helps to prevent heat loss or gain of heat. This is because insulators are poor conductors of heat and electricity.

The process of compressing an ideal gas in a well-insulated chamber using a well-insulated piston is known as adiabatic process.

When an ideal gas in compressed adiabatically, the heat lost is zero and the work is done it which causes increase its temperature.

Q = 0

The well-insulated chamber and piston helps to prevent heat loss by conduction and convection. The results in a zero heat lost to the surroundings.

Thus, we can conclude that the process of compressing an ideal gas in a well-insulated chamber using a well-insulated piston is known as adiabatic process.

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About how many times greater is the density of a neutron star compared to a white dwarf?

Answers

Answer:

Explanation:

over a million times

If the radiant energy from the Sun comes in as a plane EM wave of intensity 1340 W/m2, calculate the peak values of E and B

Answers

Answer:

Given that

I = 1340 W/m²

µo = 4πx 10^-7 Tm/A

sc = 3 x 10^8 m/s

So to find the peak values of B we use

I = (c Bm²) / (2 µo)

1340 = (3 x 10^8 x Bm²) / (2 x 4πx 10^-7)

1340 = (3 x 10^8 x Bm²) / (25.12 x 10^-7)

(3 x 10^8 x Bm²) = 1340 x (25.12 x 10^-7)

(3 x 10^8 x Bm²) = 3.366 x 10^-3

Bm² = 3.366 x 10^-3 / 3 x 10^8

Bm² = 1.122 x 10^-11

Bm = 3.4 x 10^-6 T

Also to find the peak values of E we

use Em = c x Bm

Em = (3 x 10^8) (3.4 x 10^-6)

Em = 1.005 N/C

What is the rotational inertia (moment of inertia) of a 12-kg uniform rod, 0.30 m long, rotating about an axis perpendicular to the rod and passing through the center of the rod

Answers

Answer:

[tex]I=0.54\ kg-m^2[/tex]

Explanation:

Given that,

Mass of a uniform rod, m = 12 kg

Length of the rod, l = 0.3 m

The moment of inertia rotating about an axis perpendicular to the rod and passing through the center of the rod is given by :

[tex]I=\dfrac{ml^2}{2}\\\\I=\dfrac{12\times (0.3)^2}{2}\\\\I=0.54\ kg-m^2[/tex]

So, the moment of inertia of the rod is [tex]0.54\ kg-m^2[/tex]

A steel tank of weight 600 lb is to be accelerated straight upward at a rate of 1.5 ft/sec2. Knowing the magnitude of the force P is 525 lb, determine the values of the angle a and the required magnitude of the vertical force, F.

Answers

Answer:

a) the values of the angle α is 45.5°

b) the required magnitude of the vertical force, F is 41 lb

Explanation:

Applying the free equilibrium equation along x-direction

from the diagram

we say

∑Fₓ = 0

Pcosα - 425cos30° = 0

525cosα - 368.06 = 0

cosα = 368.06/525

cosα = 0.701

α = cos⁻¹ (0.701)

α = 45.5°

Also Applying the force equation of motion along y-direction

∑Fₓ = ma

Psinα + F + 425sin30° - 600 = (600/32.2)(1.5)

525sin45.5° + F + 212.5 - 600 = 27.95

374.46 + F + 212.5 - 600 = 27.95

F - 13.04 = 27.95

F = 27.95 + 13.04

F = 40.99 ≈ 41 lb

A hollow sphere has a mass of 15 kg, an inner radius of 12 cm and an outer radius of 18 cm. What is the rotational inertia (moment of inertia) of the sphere about an axis passing through its center

Answers

Answer:

0.2396

Explanation:

Given that

Mass of the hollow sphere, m = 15 kg

Inner radius, r = 12 cm = 0.12 m

Outer radius, R = 18 cm = 0.18 m

Volume of a sphere is expressed as

V = 4/3.π.R³

Density ρ = mass / volume, therefore

Mass = ρ * v

Mass of the hollow sphere is given as

Mass of the outer sphere - mass of the inner sphere

M = ρV(o) - ρV(i)

V(o) = 4/3 * 3.142 * 0.18³

V(o) = 0.0244

V(i) = 4/3 * 3.142 * 0.12³

V(i) = 0.00724

15 = ρ (0.0244 - 0.00724)

15 = ρ (0.01716)

ρ = 15 / 0.01716

ρ = 874 kg/m³

moment of inertia about its centroidal axis is

I = 2/5 ρVR²

I(h) = I(o) - I(i)

I(h) = (2/5 * 874 * 0.0244 * 0.18²) - (2/5 * 874 * 0.00724 * 0.12²)

I(h) = 0.276 - 0.0364

I(h) = 0.2396

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