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.
I am trying to work out the angular acceleration of a small flywheel (with axle running through) when an attached piston (by means of a pin) with an outstroke force acts on it. I assumed I would need to work out the torque using the formula torque = force x radius, and find out the flywheel’s...
So basically, I'm making a vehicle that should regenerate energy from braking. the car will start at rest at a ramp between 30 to 50 degrees slope. a flywheel will be connected to the front wheels of the vehicle
I want to determine what kind of a flywheel will be sufficient to store the...
Homework Statement
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I've been working my way through the following question but I am a little bit stuck at this part:
A gearbox and flywheel are as shown in FIGURE 4. The output shaft rotates in the opposite direction to the input shaft at 5 times its speed. The gearbox has an efficiency...
Hey,
I am doing a small project on improving the performance of a flywheel in a single cylinder diesel engine. I am stuck at a point where I have to calculate torque on the flywheel. Information that I have is power of the engine is 5bhp, and rpm of the engine is 2600, I do not have any other...
Hello guys,
I am working on designing a flywheel to couple to a generator however i have a small problem and i have low knowledge in flywheels
I have a pinion rotating at w = 14.13 rad/sec and torque Tpinion = F*Rpinion = Mass of inertia *alpha pinion
All is known I can find Tpinion euqal...
When a motor with a flywheel spins up and then stops, what is the force translated on the surface onto which the motor is connected? I'm assuming the value of this force equals to the centripetal force in the flywheel, but I'm not sure.
The setup: http://imgur.com/IiOrRoQ
How does the force...
I need to determine the RPM just that the flywheel (that has an offset shaft) will travel faster than gravity (g force). Meaning my offset shaft will be falling faster than a falling object per se.
So flywheel has a diameter of 0.1524m.
h=1/2g*t^2
t=0.144s (assuming we did 1.5x(9.8m/s) with...
Any one can help with the following, i need to know the weight and radius of flywheel that will simulated a load of .104 slug-feet squared, calculation base in friction
Homework Statement
A mass of 0.5kg is suspended from a flywheel,
The mass is released from rest and falls a distance of 0.5m in 1.5s
Mass of wheel = 3kg
Outside radius of wheel = 300mm
Radius of gyration = 212mm
Homework Equations
a- Linear acceleration of wheel
b- Angular acceleration of...
In the torque moment diagram of 4 stroke engine, there is a negative loop during suction stroke. Many books state that it is due to the higher atmospheric pressure. But, I do not understand the concept. Please help me understand why there is a negative and positive loop during suction and...
Hi,
I need to calculate the moment of inertia of this flywheel so I can calculate the torque I need.
T= I*alpha
Attached is an image of the flywheel the cam follower that will be attached to the shaft (left shaft in this picture). When calculating the Moment of Inertia, what mass do I use...
Hello all,
My robotics club at school will be entering the VEX Nothing But Net competition. We are beginning to design the robot and it's launcher specifically.
We want our flywheel design to be two wheels on each side, on a horizontal line like this. We would squeeze the balls between the...
Hello guys,
I'm looking for some help. I'm reading a paper called "On Flywheel Leg Press Design and its Benefits". I'm interested in calculate the forces that a flywheel machine that I'm building (used for gym exercises) will require the user to use it. Following this paper, they start to...
Homework Statement
A flywheel made of glass fibre has been developed by BP to store the kinetic energy of buses when they come to a bus stop. The maximum energy stored in the flywheel is equivalent to the energy lost by a 16,000 kg bus braking from 48 km when it comes to rest. The bulk of the...
Homework Statement
A flywheel is attached on the output of the gearbox. The output shaft rotates in the opposite direction to the input shaft at 5 times its speed. The gearbox has an efficiency of 92%.
If the flywheel is solid, has a mass of 50kg, a diameter of 1.5m and is to accelerate from...
Hello, I'm trying to follow along with the stress analysis derivation for flywheels given here, but I'm stuck at the point where it says:2⋅σ t⋅δrsin(1/2⋅δθ) + σrδθ - (σr + δσr) (r + σr )θδθ = ρr2ω2δr ⋅δθ
in the limit reduces to:
σ_t- σ_r - r⋅\frac{dσ_r}{dr}= \rho⋅r^2 ω^2
I'm a little rusty...
Hi guys,
I wanted to ask something that I am interested on
Which is on the traditional sewing machine mechanical mechanism (On the foot paddle part)
Image taken from Google.
From the image above, a typical sewing machine
For such application, what is the "Name" for it?
Im more likely wanted...
Homework Statement
Hey y'all. Heres the problem:
The flywheel to the right is spinning at 300 radians per second in a counter clockwise direction. The
brake (to the left) is applied with a force F of 5kN.
How long will it take the flywheel to stop rotating?
Assume:
The flywheel is made of...
Hello,
I have to design a high inertia flywheel for energy storage. The flywheel must be something like in the drawing I attached. The question is: how can I calculate the Inertia and the stored kinetic energy in this type of flywheel?
Can I consider it like a classic "Rim , hub and spokes"...
I am trying to figure out the gear ratio's needed to turn a 24", 100 lb flywheel at 500 RM with a bicycle. I can not find a formula to calculate the size gears I will need. Can anyone point me in the right direction?
Hi fellow scientists and engineers,
I have a question regarding the design of a flywheel. I know that the actual engineering of a flywheel is very complex and in no way I should expect actual practical answers from this simple question. I'm just trying to get some estimates for a renewable...
How to calculate how much power required to turn a flywheel? Suppose I have a flywheel of 24 inch diameter, width 5 inches,50kg. How do I calculate the required power (HP) to turn this or any other with different values?
If you model a variable-inertia flywheel connected to a load inertia you have fundamentally a single spinning mass with the ability to vary the mass moment of inertia. The total energy of this spinning mass is constant, so when you vary the inertia, the velocity will change in order to satisfy a...
I tinker with single cylinder 4-stroke (kart) racing engines a good deal. Flywheel design for optimum weight has always amazed me. Does anyone have formulas for optimizing the design? It's more than just saying "x" pounds is best, because the actual shape of the flywheel, width and thickness of...
Homework Statement
Hello, we have built a system in which energy is harvested through the use of an oscillating fin, this energy is stored within a flywheel which operates at a frequency f, we are then connecting this flywheel, via a smaller gear (gear ratio = 10) to an induction motor which...
Homework Statement
Figure 10.30 shows two disks: an engine flywheel (A) and a clutch plate (B) attached to a transmission shaft. Their moments of inertia are and initially IA and IB, they are rotating with constant angular speeds ωA and ωB, respectively. We push the disks together with forces...
Homework Statement
Evening,
As part of a project we are building a pico oscillating hydroelectricity generation system. Our system is based on the flow of a river providing lift onto a hydrofoil, which is then connected to a flywheel via a mechanism, the energy and rotational speed in the...
Homework Statement
It can be shown that a square wave can be represented by a sum of sine waves as given by the formula below
v = v0sinωot + v1sinω1t + v2sinω2t + v3sinω3t +...
Solar cells have an output that is dc. The pd across a cell depends on the incident radiation and the efficiency of...
Hey guys, new to the forum. I am wondering how to find what the maximum rpm of a flywheel could be. I was looking at stirling engines, and trying to compile all the equations that apply to calculate the rpm of the engine. I know the equation for the expansion of gas in the cylinders and the...
Homework Statement
Cylindrical shape pulley ( m = 6 kg, R = 0.18 m) is rotating at a frequency f = 10 s-1. Due to constant torque it stops. Calculate the work done by the breaking force.
Homework Equations
w = 2πf
The Attempt at a Solution
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I can calculate the angular velocity:
w = 2πf =...
Hello, I would like to know the amount of torque required when the flywheel starts? I know that once at speed the flywheel doesn't require torque. I would also like to know what size of slip ring induction motor to run as the below mentioned speed.
The weight of the flywheel is= 6500 kg
( wt...
Are there existing tests that NASA specifies that determines the saturation point of a fly wheel?
Or must the test be catered specifically to each individual flywheel?
-Sorry I'm a bit of a newbie at Aersospace engineering!
Homework Statement
A motor imposes 5 Nm on a shaft of a 100kg flywheel which is 80cm(diameter)
What is the rotational kinetic energy after 10 mins? assuming the flywheel was at rest and the mass moment of inertia of the shaft is negligble.
Homework Equations
Ig=1/2 * mr^2...
Hi!
I am creating this thread to ask what is the physical phenomena that drive the smooth disengagement of clutch discs from flywheels. I am thinking about car clutches, specifically a longitudinal front engine, rear wheel drive clutch type.
I've been reading some books that describe the...
I am studying renewable engineering at uni..
And found the flywheel storage interesting.
I did my own research and found out that it is expensive to implement this technique.
However, all the articles describe the cost as expensive, not with specific figure ($)
So, I wonder what is...
Homework Statement
The problem is I need to estimate the mass of a (solid equally distributed mass) disc which has an axle on which a string is tied and then attached to a (hanging) 1.022 kg mass. We wound the wheel up moving the hanging mass to a height of 0.64 m off the ground. At this point...
Homework Statement
Describe and explain some of the design features of a flywheel in order for it to store
maximum energy. Your answer should include consideration of the flywheel’s shape,
the material from which it is made and its design for high angular speeds.
Homework Equations...
What gyroscopic forces act on a car fitted with a flywheel kers system? From what i understand if the flywheel was mounted transversely and rotating clockwise when viewed from the right side of the car and the car turned right gyroscopic precession would cause the car to roll to the left ie a...
Im working on designing a high speed flywheel as part of a project. The main issue is the centrifugal forces acting on the flywheel to tear it apart. If i was to construct a flywheel using interference fit tubing which is put together using thermal expansion of the outer tubes so that they are...
Homework Statement
An energy storage system based on a flywheel (a rotating disk) can store a maximum of 4.4 MJ when the flywheel is rotating at 21,300 revolutions per minute. What is the moment of inertia of the flywheel?
Homework Equations
K= Ktranslational + Krotational
Krot=...
Hello,
My question is: how much energy is needed for changing inertia of flywheel?
example: on rotary shaft we have linear actuator which is moving some object (mass). by that movement, radius of flywheel is changing. ...if there is energy input to flywheel, mass is moving away form...
I've been reading a lot on the "flybrid" mechanical flywheel based KERS system which was developed for use on F1 cars. I understand the basics of how energy is stored in this system, however, when it is recovered, it is said to provide a constant 60kW of power for 6.67 seconds. I'm confused on...
Im designing a flywheel based kinetic energy recovery system for a car. The flywheel needs to have a very high angular velocity to store enough energy. At high angular velocities centrifugal forces will act to pull the flywheel apart, away from the centre of rotation. If i could somehow, maybe...
hey everyone. Merry Christmas.
I am going to design a mechanical system, flywheel energy storage.
The general idea is 'collect all the tidy rotational movement and release the power once reach certain torque level.
This is quite similar to Self-retracting tape measurer or scroll spring toy...
Dear Friends
I’m in need to solve a problem in physics, which might be easy for you but it is not for me as my background in physics is not good.
I have a bike (drawn in simulation platform) with a flywheel connected to the crank (or shaft). The flywheel is not always fixed (or engaged)...
Ok me and my friend have clashed with solutions to calculate the moment of inertia of a flywheel and I think I have it after a while but I'm not so sure about my maths!
The solution he ended up with was a lot larger and more complex :) really enjoying this forum:)
Torque -- Block's cord wrapped around a flywheel...
Attempt:
FBD: mg acts tangentially to the final point of contact b/w string and the pulley. F = mg
T = Iα = rF
αr = a = r2F/I = 1.28g
I don't see any other forces needed to be assessed, and my calculation seem correct. Any help would be...
Hi I'm new to this forum so still getting used to it!
I have to find the moment of inertia of a circular flywheel which has radius, a and mass m! But also had area density (mass per unit area) of ρ0,
Where ρ0=ρa(1+r/a)
I know moment of inertia is the integral of a^2 dm and in order to...