A flywheel is a mechanical device specifically designed to use the conservation of angular momentum so as to efficiently store rotational energy; a form of kinetic energy proportional to the product of its moment of inertia and the square of its rotational speed. In particular, if we assume the flywheel's moment of inertia to be constant (i.e., a flywheel with fixed mass and second moment of area revolving about some fixed axis) then the stored (rotational) energy is directly associated with the square of its rotational speed.
Since a flywheel serves to store mechanical energy for later use, it is natural to consider it as a kinetic energy analogue of an electrical inductor. Once suitably abstracted, this shared principle of energy storage is described in the generalized concept of an accumulator. As with other types of accumulators, a flywheel inherently smoothes sufficiently small deviations in the power output of a system, thereby effectively playing the role of a low-pass filter with respect to the mechanical velocity (angular, or otherwise) of the system. More precisely, a flywheel's stored energy will donate a surge in power output upon a drop in power input and will conversely absorb any excess power input (system-generated power) in the form of rotational energy.
Common uses of a flywheel include:
Smoothing the power output of an energy source. For example, flywheels are used in reciprocating engines because the active torque from the individual pistons is intermittent.
Energy storage systems
Delivering energy at rates beyond the ability of an energy source. This is achieved by collecting energy in a flywheel over time and then releasing it quickly, at rates that exceed the abilities of the energy source.
Controlling the orientation of a mechanical system, gyroscope and reaction wheelFlywheels are typically made of steel and rotate on conventional bearings; these are generally limited to a maximum revolution rate of a few thousand RPM. High energy density flywheels can be made of carbon fiber composites and employ magnetic bearings, enabling them to revolve at speeds up to 60,000 RPM (1 kHz).Carbon-composite flywheel batteries have recently been manufactured and are proving to be viable in real-world tests on mainstream cars. Additionally, their disposal is more eco-friendly than traditional lithium ion batteries.
Homework Statement
Hi, I have the following question and was wondering if anyone could help:
A mass of 0.5kg is suspended from a flywheel, of mass 3kg, outside radius 0.3m and radius of gyration 0.212m. If the mass is release from rest and falls a distance of 0.5m in 1.5 seconds...
Hi there,
I need to calculate bending torques on a rotating flywheel. Not sure how to do this. Anyone who can help?
I have a disc with radius r and mass m rotating with omega_z. This means that the moment of inertia is m*r^2/4 for x and y-axis and m*r^2/2 for z axis. (Z-axis is the...
Homework Statement
What is the radius of gyration (in meters) for the steel flywheel shown? The width of its rim, L, is as given below. The density of steel is 7500 kg/m3. The outside diameter (OD)for the wheel is 2000 mm, and the inside diameter (ID) is 1840 mm as shown in the figure. The...
I am on my second year of study for a bachelor of medical and radiation physics and one of my friends who is studying mechanical engineering ran this question by me, I haven't really had time to go into it in any detail, i thought some of you guys might like to give it a crack:
You set out to...
Homework Statement
A flywheel, together with its shaft, has a total mass of 300 kg with a radius of gyration of 900 mm. Friction in the bearing produces the equivalent of a torque 70 Nm. Calculate the braking Torque required to bring the the flywheel to rest from a speed of 12 rev/s in 8...
Homework Statement
In the design of a passenger bus, it is proposed to derive the motive power from the energy stored in a flywheel. The flywheel, which has a moment of inertia of 4.0 x 102 kgm2, is accelerated to its maximum rate of rotation of 3.0 x 103 revolutions per minute by electric...
hi friends,i am going to design a flywheel for my final year project.how to design it? actually my project is electric bicycle.i am going to connect fly wheel with gears.my cycle will power by both manually & electrically.
Hi all,
I have a flywheel which I'm putting energy into from the rest position. The energy is been put in from a mechanism attached to a falling 30 kg mass.
Now the mass falls for 0.392 seconds before it hits the ground. The flywheel accelerates and reaches a maximum acceleration at 0.434...
Homework Statement
The flywheel of an engine has a moment of inertia 2.50 (kg)m^2 about its rotation axis.
What constant torque is required to bring it up to an angular speed of 400 rev/min in a time of 8.00s, starting from rest?Time (t) =8.00 sec
Ang Velocity (W) = 400 rev/min
Moment of...
Homework Statement
A flywheel has a moment of inertia of 0.5kgm^2, diameter 0.5m and is rotating at 1000rpm.
A tangential frictional force of 1000N is applied to its rim.
Calculate the time IN MINUTES for the flywheel to stop.
Homework Equations
None given, I assume:
Torque =...
Here is the problem: A chainsaw is started by pulling on a rope that is attached to a solid steel flywheel. Assume that the wheel has a mass of 1.5 kg that is completely distributed along the outside edge, and it has a diameter of 10 cm. It starts at rest and must accelerate to 4.0 rev/s in 2.0...
Homework Statement
A flywheel rotates at a rate of 20 rpm. A motor provides a constant angular
acceleration so that 30 s later it turns at a rate of 70 rpm. There’s a tiny splotch of paint on the
flywheel, located 0.10 m from its center. During the acceleration period, what is the angular...
Homework Statement
It is known that 1500 revolutions are required for the 6000-lb flywheel to coast to rest from an angular velocity of 3000 rpm. Knowing that the radius of gyration of the flywheel is 36 in., determine the average magnitude of the couple due to kinetic friction in the...
Homework Statement
The flywheel of a steam engine begins to rotate from rest with a constant angular acceleration of 1.33 rad/s2. It accelerates for 23.5 s, then maintains a constant angular velocity. Calculate the total angle through which the wheel has turned 67.3 s after it begins...
Hello
I have composed some figures for a flywheel system that would be used in a custom car and involve multiple flywheels. The vehicle would be use the flywheels for energy storage and recovery, and would be powered by electric engines placed on the drive axles. These flywheels would be...
Homework Statement
A high-speed flywheel in a motor is spinning at 450 rpm when a power failure suddenly occurs. The flywheel has mass 36.0 kg and diameter 70.0 cm. The power is off for 34.0 s and during this time the flywheel slows due to friction in its axle bearings. During the time the...
I've seen several posts with questions regarding transfer of energy and momentum through a gear box. Following is a problem I'm trying to work out but I clearly don't understand the physics involved:
A flywheel with inertia of Ifw initial velocity of ωfwi = 10,000 rpm is connected (assume...
High grade ARP bolts used to attach flywheel to crank shaft..all broke. race car came intoi the pits with engine running and no power to the drive wheels. we pulled off the body panels and could see the rear of the crank shaft. it turned when we turned the front pulley on the crank snout..but...
How to calculate how much torque a given flywheel with a given moment of inertia I and angular velocity w will apply on a shaft (with given dimensions) its connected to ?
I'm calculating a hypothetical flywheel/IVT/reducer/vehicle scenerio where a flywheel with a moment of inertia of 312 ft2*lb and ang. velocity of 10,000 rpm is connected to 30-in dia. driving tire of a vehicle. The vehicle is 2000 lbs. The flywheel will accelerate the vehicle 0-60 mph in 10...
I posted this on another section, but got no replies in three days...so thought maybe I'd had posted in the wrong section...apologies.
I have an idea pertaining to energy storage in flywheels, something like they do in the KERS, and need assistance here...
Ok, my idea involves using a...
I have an idea pertaining to energy storage in flywheels, something like they do in the KERS, and need assistance here...
Ok, my idea involves using a flywheel of around 10 kg (steel) with I~1 kg.m^2, to be charged to an RPM of around 7,000 RPM.
This allows E = 0.5 x 1 x (7000x2x pi /60)^2...
Hi guys,
I have a very basic question which I have never been able to completely grasp the concept behind.
This is regarding the Working Of A Flywheel.
My question is:
The Flywheel is said to store the kinetic energy from the excessive power produced...
I am trying to calculate the theoretical deflection of a flywheel on a large diesel engine in an attempt to use it in measuring generator efficiency. I need to theoretical values in order to better understand instrumentation needs. I want to run the test in place and space is very very...
Homework Statement
This problem from Applied mechanics J Hannah M J Hilier
An engine flywheel consist essentially of a ring of cast iron of density 7200 kg/ m3 .The flywheel has to deal with a fluctuation of energy of 22500 J at mean speed of 6 rev/s with a limit of +- 0,5 per cent on...
Homework Statement
a flywheel (A) with mass 100kg and radius of gyration 1200mm rotates at 150 rev min-1(clockwise). The kenetic energy of this flywheel it to be reduced by 20% by impacting with second flywheel (B) rotating at 80 revs min-1 (anti-clockwise), such that they have the same...
Homework Statement
A car is designed to get its energy from a rotating flywheel with a radius of 1.12 m and
a mass of 736 kg. Before a trip, the flywheel is attached to an electric motor, which
brings the flywheel’s rotational speed up to 7270 rev/min.
Find the kinetic energy stored in the...
Homework Statement
The flywheel of a steam engine runs with a constant angular speed of 375 rev/min. When steam is shut off, the friction of the bearings stops the wheel in 1.8 h.
At the instant the flywheel is turning at 75 rev/min, what is the tangential component of the linear...
i have diagram of the turning moment in flywheel in internal combustion engine , i want to determine the mass of moment of inertia of the flywheel needed to keep speed fluctuation < or equal 1.5% at engine speed 560 rpm ?
http://img534.imageshack.us/img534/1765/57306264.jpg
I just registered for this forum as I have a problem that needs solved. I am building an industrial museum in Youngstown, Ohio, and the centerpiece of our collection is a 230 ton stationary steam engine which we saved from a local steel mill. I am designing an electric drive for it so that we...
Hi guys
What is the difference between flywheel and governor? Well, I know that flywheel is a wheel which stores and releases energy and avoid fluctutations in speed and governor controls fuels supply when speed is in access or very less through centrifugal action.
But what i am confused is...
1. A Flywheel (A) mass 100kg and radius of gyration 1200mm rotates 150rpm clockwise. The knetic energy of this flywheel is to be reduced 20% by impacting a second flywheel B rotating at 80 rpm in opposite direction, such that they have the same clockwise angular velocity after inpact. A)...
Hey everyone! I have a small problem with part b. I am wondering if i miscalculated something. Any ideas? Thanks!
Homework Statement
A 15 kg flywheel has all its mass around its outer rim. A string is wrapped around it and a m = 4.7 kg weight is hanging on the string. The flywheel...
right basically i have decided to design a flywheel for my car engine and i would like to know what factors will determine the shape and weight of it?is there a way of working out what is the minimum weight that it could be
Homework Statement
A car is designed to get its energy from a rotating flywheel with a radius of 1.85 m and a mass of 678 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 3610 rev/min. Find the kinetic energy stored in the...
Homework Statement
Part One:
A flywheel in the form of a heavy circular disk of diameter 0.725 m and mass 127 kg is mounted on a frictionless bearing. A motor connected to the flywheel accelerates it from rest to 1340 rev/min. What is the moment of inertia of the flywheel? Answer in units...
Hi I am struglling to work out the expression for theta=f(x) for a piston, that moves linearly by a distance of x along the inside of the cylinder, and is attached to a conrod of length l, whose other end is at a radius r on a fly wheel. I want an expression for the angle theta that the fly...
This is a real-world problem - NOT AN EXAM OR HOMEWORK (although it may sound as if it was produced by a deranged physics professor).
A three-flywheel system has two identical variable inertia flywheels, each connected to the inputs of a differential. The common output of the differential...
Homework Statement
"One possibility for a low-pollution automobile is for it to use energy stored in a heavy rotating flywheel. Suppose such a car has a total mass of 1400 kg, uses a uniform cylindrical flywheel of diameter 1.90 m and mass 210 kg, and should be able to travel 330 km without...
Hi, I was wondering if anybody might help be able to help me out. I need to make a flywheel that will rotate at around 20,000 - 30,000 rpm and I really don't want to die so I was wondering if somebody could tell me exactly what I need to take into account.
And is this the correct way to...
Torque required!
Hi,
Problem Statement:
A flywheel with Moment of Inertia I, and rpm w1 is rotating. It has a shaft at is center which is attached to a gearbox (1:100) at one end. The output shaft of the gearbox will rotate at w1 x 100. The other end of the shaft of the flywheel will...
Homework Statement
Hi guys, this question is from Kleppner and Kolenkow's mechanics book, problem 7.2:
A flywheel of moment of inertia I rotates with angular velocity w at the middle of an axle of length 2L. Each end of the axle is attached to a support by a spring which is stretched to...
I have a question in regards to time it take to stop a flywheel.
I have a 10 foot dia x 3 foot thick solid flywheel that weighs approx 20,000 lbs.
It is rotating at about 2 rpm I have a electric brake that is rated to apply 9500 in-lb of torque.
How long (sec) or how many rads will it...
Hi all. This is my first post here. Really hope someone can help :)
Im facing some problem regarding the design of my little switch mode boost regulator. It uses the max631, which has a built it catch diode.
The input voltage to the max631 comes from a logic controlled p channel mosfet...
I am considering using a flywheel to power a machine for an indefinite period of time. I intend to bring the flywheel up to operating speed by manual means. Once the flywheel is rotating at operating speed, a motor will be used to keep the flywheel rotating. In order to maintain the operating...
Homework Statement
A spinning flywheel has rotational inertia I = 403.8 kg · m2. Its angular velocity decreases from 20.0 rad/s to zero in 256.8 s due to friction. What is the frictional torque acting?
The Attempt at a Solution
I tried using Vt = r |w| and Wav = change in theta /...
I am designing a kayak training machine as a final year project. Basically, the design consists of a frame supporting a weighted flywheel that provides the resistance. The flywheel is mounted on a shaft through bearing units in the frame and opposite direction sprag clutches are mounted onto...
I need to calculate the rpm of my flywheel on my wobbler so I can determine which flowmeter to use. Any suggestions? Is there any way to calculate rpm without running the flywheel?
How do you use a DC motor to test the work of a flywheel? I'm trying to test the mechanical efficiency of a wobbler oscillating steam-engine. To test the output of the engine I was going to use a DC motor. Included in my calculations do I need to include the efficiency of the DC motor? If so...