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
gladu [14]
3 years ago
6

It has been argued that power plants should make use of off-peak hours (such as late at night) to generate mechanical energy and

store it until it is needed during peak load times, such as the middle of the day. One suggestion has been to store the energy in large flywheels spinning on nearly frictionless ball-bearings. Consider a flywheel made of iron, with a density of 7800 kg/m^3 , in the shape of a uniform disk with a thickness of 11.3 cm.
Required:
a. What would the diameter of such a disk need to be if it is to store an amount of kinetic energy of 14.1 MJ when spinning at an angular velocity of 93.0 rpm about an axis perpendicular to the disk at its center?
b. What would be the centripetal acceleration of a point on its rim when spinning at this rate?
Physics
1 answer:
Trava [24]3 years ago
5 0

Answer:

Explanation:

kinetic energy = 14.1 MJ = 14.1 x 10⁶ J

Let radius of flywheel be r .

volume of flywheel = π r² x t where t is thickness

= 3.14 x r² x .113 m³

= .04 r² m³

mass = volume x density

= .04 r² x 7800 = 312.73 r²kg

moment of inertia I = 1 / 2 mass x radius²

= .5 x 312.73 r² x r²

= 156.37 r⁴ kg m²

angular velocity ω = 2π x 93/60

= 9.734 rad /s

kinetic energy = 1/2 Iω² where ω is angular velocity

= .5 x 156.37 r⁴ x 9.734²

= 7408.08 r⁴

Given

7408.08 r⁴ =  14.1 x 10⁶

r⁴ = .19 x 10⁴

r = .66 x 10

= 6.60 m .

Diameter = 13.2 m

b )

centripetal acceleration of a point on its rim = ω² r

= 9.734² x 6.6

= 625.35 m /s²

You might be interested in
Which is a characteristics of a physical change?
vazorg [7]
Physical Change characteristic is the chemical bonds in the substance are unchanged. Because a physical change is any change happens in an object but without involving a change in its chemical substance. Example, Solid to liquid change or also known as melting, liquid to gas change also known as evaporation, gas to solid change also known as deposition, liquid to solid or solidification, solid to gas or sublimation, and gas to liquid or condensation. The physical form of a substance is change into a new form but the chemical is unchanged.



8 0
3 years ago
Describe what causes the flow of electric current.
marusya05 [52]
An electrical <span>current is </span>caused<span> by </span>flow<span> of free electrons from one atom to another. </span>
5 0
3 years ago
Read 2 more answers
Who was the first to hypothesize that electron orbit a positively charged nucleus
Eva8 [605]
I think the answer is ruthorford
6 0
3 years ago
Does air resistance affect the motion of a falling object differently when the initial velocity of the object is greater?
DIA [1.3K]
Yes. Even greater. Air resistance or drag becomes harder the faster an object goes. This is why when cars reach their max speed they don't accelerate as fast, because they are pushing harder against the wind. If I take a tennis ball and shoot it down a bottomless pit, a 400 kph, the drag will slow the ball down till it reaches terminal velocity. 
4 0
3 years ago
Read 2 more answers
Which of the following statements BEST explains why ball-and-socket joints have the greatest range of motion?
galina1969 [7]

Answer:

its d on edge c:

5 0
3 years ago
Other questions:
  • I WIIL GIVE BRAINLIEST
    11·1 answer
  • A 47.3 ml sample of alcohol has a mass of 37.32 g. what is its density in g/ml?
    7·1 answer
  • Which substance is a combination of different atoms?
    8·1 answer
  • When reading a seismograph, _____ waves come first, then _____ waves, and, finally, _____ waves. S, P, L L, P, S P, S, L L, S, P
    11·2 answers
  • An electron in a vacuum chamber is fired with a speed of 9800 km/s toward a large, uniformly charged plate 75 cm away. The elect
    10·1 answer
  • The above Free Body Diagram represents the motion of a toy car across a floor from left to right. The weight of the .5 kg car is
    12·1 answer
  • When used as an energy source in a nuclear power plant, uranium is burned in a similar way as one would burn wood or coal for en
    9·1 answer
  • A baseball falling toward a player's glove gains _____ energy and loses _____ energy. A. potential; kinetic B. kinetic; potentia
    9·2 answers
  • De acuerdo a la trayectoria que describe el movimiento de la
    5·1 answer
  • A circuit contains four capacitors in parallel (10 F, 3 F, 7 F, and 1 F). What is the equivalent capacitance of this circuit?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!