A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg.
(a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.
(b) How high a hill can the bus climb with this stored energy and still have a speed of 3.00 m/s at the top of the hill? Explicitly show how you follow the steps in the Problem-Solving Strategy for Rotational Energy.

Answers

Answer 1

Answer:

Explanation:

moment of inertia of flywheel = 1/2 m R²

= .5  x 1500 x .6²

= 270 kg m²

If required angular velocity be ω

rotational kinetic energy = 1/2 I ω²

= .5 x 270 x ω² = 135 ω²

kinetic energy of bus when its velocity is 20 m/s

= 1/2 x 10000 x 20²

= 2000000 J

Given 90 % of rotational kinetic energy is converted into bus's kinetic energy

135 ω² x 0.9 = 2000000 J

ω²=16461

ω = 128.3 radian /s

b )

Let the height required be h .

Total energy of bus at the top of hill = mgh + 1/2 m v²

m ( gh + .5 v²)

= 10000 ( 9.8h + .5 x 3²)

From conservation of mechanical energy theorem

10000 ( 9.8h + .5 x 3²) = 2000000

9.8h + .5 x 3² = 200

9.8h  = 195.5

h = 19.95 m .


Related Questions

The mass of a baseball is 100 grams and the volume is 25 cm cubed. What is the density?

Answers

Answer:20 g/cm.

Explanation:

Answer:4g/cm3.

Explanation: The Density of a substance or object  is the mass of the substance per unit  volume of the object.

M is mass, =100g

V is volume = 25cm3

I’m think 3 or 1.. am I right?

Answers

Answer:

C-3 I beleive it is three!!!!

Explanation:

Hope this helps!

Have a grreat day!

-Hailey

Answer:

it is n2+3

Explanation:

How do media literacy , information literacy and technology literacy and media and information literacy differ in terms of use?

Answers

Answer:

Media literacy creates a conscious awareness, the ability to understand, analyze, the messages various media like the newspapers, the radio, that is for the consumer, and it also promotes how best media create information for production.

While information literacy and technology literacy differs from other literacy asked in the question above, as information literacy and technology could be used when describing getting information through adequate research and further dishing out this available information so as to effectively use the information with the aim to solve problems, create awareness, or educate, through technologies such as for example, email.

Lastly, media and information literacy differ in terms of use from the other two explained above, as media and information literacy describes discerning information credibility, accuracy, and objectivity of sources they come from, and it shows people how important it is to have credible information to make informed judgments and the ethical use of the information they consume.

A drop of oil of volume 10 ^-10 m3 spreads out on water to make a circular film radius 10^-1m what is the thickness of the film

Answers

Answer:

The thickness of the film is = 3.183e-9m

Explanation:

It will help us if we understand that the shape of the circular film can be approximated to be a cylinder. The height of this cylinder, or its thickness, in this case, will be very small.

Since we can approximate the shape of the drop of oil to be a cylinder, after it has spread out on the surface of the water, we can use the cylindrical geometric formulas to find out how thick the film is.

The volume of a cylinder = [tex]\pi r^2 h[/tex]

our radius is given as [tex]10^{-1}m = 0.1m[/tex]

the volume is [tex]10 ^{-10} m^3=1e-10m^3[/tex]

Remember that our task is to find the height of the cylinder. We can do this by making the height the subject of the formula.

[tex]h = \frac{Volume}{\pi r^2} = \\\\\frac{1e-10}{\pi \times 0.1^2} = 3.183e-9m[/tex]

Therefore, the thickness of the film is = 3.183e-9m

A pulse with a height of +0.5 meter encounters a second pulse with a height of +2.3 meters. A. The two pulses interfere: B. The resulting height of the medium when the pulses interfere will be: ____m

Answers

CAN SOMEONE IN THE COMMETS ON EDG HELP ME WITH THIS IM NOT DOING THIS 4 POINTS I ACTULLY NEED HELP AND STRUGGLING U GUYS CAN CAN PUT A 1.0 STAR I REALLY DONT CARE BUT CAN SOMEONE HELP PLZ

15 points!! pleas help! A rollercoaster cart that has a mass of 4500 kg has 67.5 kJ (kilojoules), or 67,500 J (joules), of gravitational potential

energy. What is its height above the ground?

PT.2

The same 4500 kg rollercoaster cart is moving with 63.0 kJ (kilojoules), or 63,000 J (joules), of kinetic energy at the

bottom of its biggest hill. What is its velocity?

Answers

energy stored in the capacitor= 9.72 x 10⁻⁴ j
explanation:
the energy stored in the capacitor is given by
e= 1/2 c v²
e= energy stored
c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f
v= potential difference=36 v
so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²
energy stored= 9.72 x 10⁻⁴j

I not completely sure but I hope this helped you

Convertir 0.3 Hm en cm.

Answers

Answer:

3000 cm

Explanation:

Use Newton's second law of motion and a free-body diagram to...
1. ...calculate the normal force acting upon a 50-kg passenger who accelerates upward at a rate of 3.0 m/s/s.
2. ...calculate the normal force acting upon a 50-kg passenger who accelerates downward at a rate of 3.0 m/s/s.
Please don't put any links or I will report you.

Answers

Using the formula F = m*a. where F is the force, m is the mass and a is the acceleration you can use it for each. As long as there are no other forces towards the body in both cases :
F = m*a
F = 50*3
F = 150 N

what three types of electromagnetic waves carry most of the sun's energy that strikes Earth. Do Not Send Me A Link.​

Answers

Answer:

The answer is C.

Answer:

The answer would be the second one I'm pretty sure.

Explanation:

The speed an
object travels in a
specific
DIRECTION
Is this speed velocity or acceleration

Answers

When you know both the speed and direction of an object’s motion, you know the velocity of an object. speed in a given direction is called velocity
hope this helps :)

A pelican flying along a horizontal path drops a fish from a height of 12.3 m. the fish travels 16.0m horizontally before it hits the water below. What is the Pelican's initial speed?

Answers

Answer:

10.1 m/s

Explanation:

Let the coordinates of the pelican's position be (x, y).

Now, since it is dropped from a height of 12.3 m, then initial velocity is zero and using Newton's 2nd law of motion, we have;

12.3 = 0 - ½gt²

½gt² = 12.3

t² = 12.3 × 2/9.8

t² = 2.51

t = √2.51

t = 1.5843 s

Now, it travels 16.0m horizontally before it hits the water below. Using the formula, distance = speed × time, we have;

16 = v_x•t

Thus;

16 = v_x × 1.5843

v_x = 16/1.5843

v_x = 10.1 m/s

Now, the velocity in the vertical y-direction is zero.

Thus;

v = √((v_x)² + (v_y)²)

v = √((10.1² + 0²))

v = 10.1 m/s

Give reasons why christian should avoid corruption​

Answers

Answer: that Christians should not withdraw from the world, but should actively participate in the ... That is perhaps the reason why there is currently such an ... Investigating the root causes and consequences of corruption may contribute to a more.

Explanation:

A roller coaster climbing up hill is an example of

A. Building up nuclear energy
B. Building up potential energy
C. Building up chemical energy
D.building up kinetic energy

Answers

Answer: D

Explanation:

answer is D building up kinetic energy

Which statement describes the image?
This is an image of an elliptical galaxy.
This is an image of an irregular galaxy.
This is an image of a normal spiral galaxy.
This is an image of a barred spiral galaxy.

Answers

Answer:

Its a barred spiral galaxy

Explanation:

Answer:

It is d

Explanation:

After rubbing the hair on your head with a balloon, you determine there are 2.4 x 1018 electrons on your head. What is the charge, in coulombs (C), of your head?

Answers

Answer:

q = 0.384 C

Explanation:

The total charge present at the head can be easily found out by multiplying the charge on a single electron with the total number of electrons present on the head:

[tex]q = ne[/tex]

where,

q = total charge on head = ?

n = total no. of electrons on the head = 2.4 x 10¹⁸

e = charge on 1 electron = 1.6 x 10⁻¹⁹ C

Therefore,

[tex]q = (2.4\ x\ 10^{18})(1.6\ x\ 10^{-19}\ C)[/tex]

q = 0.384 C

Use the "Law of Reflection" to describe why you cannot see your reflection in a piece
of paper.

Answers

Answer:

it does not mirror the image

describe how a wheel and axle work?

Answers

A weally works when you pull something and a axle is something that you can push

Explanation:

I hope this helps

PLEASE HELP!! Points will be given for suitable answer! Thank you!

Answers

Answer:

its lost 91

Explanation:

Part C
What is likely to happen to the trees if the trend continues?

Answers

Answer:

The beetles consume the trees as food. So, if the trend continues, it’s likely that the trees will die out in the coming years

Explanation:

What is density?

A- How much space an object takes
up
B- The amount of matter in a certain
amount of space
C- How much water an object
displaces
D- How much an object is affected by
gravity

Answers

Answer:

B- The amount of matter in a certain

amount of space

Explanation:

Density is the amount of matter an object has in a certain space. To find density, divide the mass of an object by the volume of an object.

Answer:

C- How much water it displaces

Explanation:

5. What is the name of the Scientist who began classification?
O Carl Linnaeus
O Albert Einstein
Sir Issac Newton

Answers

Answer:

Carl Linnaeus discovered Classification

Answer:

Carl Linnaeus

Explanation:

Mark me Brainllest

Note: Plagiarism will be reported
Any Links Or Unrelated Answers Will Be Reported

Explain Newton's Law Of Gravity, and explain how the formula works correctly and combines mathematical arithmetic to figure out gravity.

​​

Answers

Answer:

Explanation:

Newton's Law Of Gravity states two masses will have an attraction force that is proportional to their masses and inversely proportional to the square of their separating distance.

Mathematically it is expressed as Force = G * M1 * M2 / d^2 where

G is the gravitational constant, M1 and M2 are the masses and d is the separating distance.

how do we calculate the value of work?

Answers

The percent complete is calculated by dividing the quantity of material progressed at a point in time by the total quantity required for the project. The resulting percent is multiplied by the current agreed committed value of the material item to obtain the VOWD for that item.

Answer:

Work = Force × Distance

Explanation:

Work = Force × Distance

The SI unit of work is Joule

-TheUnknownScientist


Which of these waves CANNOT travel through the vacuum of space?
A) microwaves
B) radio waves
C) light waves
D) sound waves

Answers

D, sound waves + are you grade 8?

Which beach balls have potential energy and not kinetic energy?

Answers

Answer:

Beach ball 4

Explanation:

it is because, Potential Energy = M G H

P(e) directly proportional to H.

if H increase then P energy also increases

The shortening of a transmitted signal's wavelength and/or an increase in its frequency, which indicates that the object is
moving toward the observer, is called the

Answers

Answer: The Doppler effect occurs when a source of a wave is moving relative to an observer (or the observer is moving relative to the source). In this case, the apparent frequency of the sound, as heard/seen by the observer, is shifted with respect to the original frequency of the wave.

More specifically, the relationship between the apparent frequency, f', and the original frequency, f, is given by:

where:

is the velocity of the wave

is the velocity of the observer relative to the source, and it is positive if the observer is moving towards the source, and negative if the observer is moving away from the source

is the velocity of the source relative to the observer, and it is positive if the source is moving away from the observer, and negative if the source is moving towards the observer

The doppler effect occurs in many daily-life situations: for instance, when an ambulance approaches you, you hear an increase in the apparent frequency of the siren due to the Doppler effect. Another example is the movements of distant galaxies from us: when they move away from us, the apparent frequency of the light they emit decreases, so their wavelengths appear to increase towards the red color (red-shift); on the contrary, when they are moving towards us, the apparent frequency seems to increase, so the wavelength seems to decrease towards the blue color (blue-shift).

Explanation:

based on the magnetic field lines shown what is the orientation of the mystery magnet ?

Answers

I think it’s cannot be determined

what is frictional less pulley​

Answers

Answer:

Conditions under which the belt and pulleys are operating – The friction between the belt and pulley may decrease substantially if the belt happens to be muddy or wet, as it may act as a lubricant between the surfaces.

Explanation:

I hope that this would be helpful

What different forms of energy are present when an egg crashes into the egg catcher?

Answers

Answer:

An egg raised above the ground has potential energy due to the force of gravity. When dropped, the egg's potential energy is converted into the kinetic energy of motion. :)

Explanation:

Help me with this Bell Ringer / Answer Only / Ez 30 Points /

identifying the forces among the four particles in the Helium nucleus atom and explain why the nucleus stays together.
(Write a paragraph)

Answers

Explanation:

the forces among the four particles in the helium nucleus atom are strong, weak, electromagnetic and gravity

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