Frictional Energy Losses in a Clutched Flywheel

• nick_d_g
It may also be necessary to integrate along the radius of the circle to account for frictional area. The critical terms to be known are w(x), t(x), and the distance travelled.
nick_d_g
Hello There,
This is a part of a group project for my degree. The abstract is to create a buggy not powered by electricity or EPE to travel a set distance on a sloped course.
We have come to a problem which, after a good several man hours, we cannot find (we think a relatively simple) answer to.

Problem:
To start, the buggy has a flywheel (linked on a simple 1:1 ratio belt system to the wheels) accellerated to 2000rpm from a rolling road and is then placed onto the start line. The flywheel is clutched (there is essentially, the flywheel spinning freely with bearings on an axel. On this axel is a fixed disc, which is forced onto the side of the flywheel).
This means that the instant before the buggy is placed, the flywheel, axel and wheels are all rotating at the same angular velocity.
At the instant the buggy is placed down, the wheels, belt, axel and clutch disc are all stationary (omega=0).
Due to friction between the flywheel and clutch disc, the axel starts to turn, hence the buggy moves forward.
The flywheel will continue to slip against the clutch wheel until their angular velocities are equal.
We need to calculate the energy in the flywheel that has been lost, between the time the buggy is placed and the time the flywheel and clutch disc are moving uniformly.

The variables are:
w(0) - (omega) angular velocity of flywheel at t=0
w(x) - angular velocity when flywheel and clutch disc have same w (at time t(x))
myu - coefficient of friction between flywheel and clutch disc
m(f) - mass of flywheel
I - of flywheel
m(b) - mass of buggy
t(0) - time buggy is placed
t(x) - time when flywheel and clutch disc have same w
r(c) - radius of clutch disc

Assume:
-Energy lost in flywheel = Energy lost due to friction of clutch

We think that we need to integrate between t(0) and t(x), to obtain total energy lost.
We are unsure but also think it may be necessary to integrate along the radius of the circle to account for frictional area.
Somehow these terms need to be connected, some of them are known and can be adapted.
Critical terms to be known are w(x), t(x) and is possible the distance travelled.

I must run to a lecture now, I shall try and add some more information when i get back.
Many Thanks to all who read
Nickx

Assume:
-Energy lost in flywheel = Energy lost due to friction of clutch

-Energy is lost only due to the friction between the flywheel and the clutchSolution:The energy lost by the flywheel can be calculated using the following equation: E = m(f)*w(0)*(w(x)-w(0))/myu*r(c)where m(f) is the mass of the flywheel, w(0) is the initial angular velocity of the flywheel, w(x) is the angular velocity of the flywheel when it is equal to that of the clutch disc, myu is the coefficient of friction between the flywheel and the clutch disc, and r(c) is the radius of the clutch disc. To calculate the time t(x), we can use the following equation: t(x) = (m(b)*(w(x)-w(0)))/(myu*r(c)*m(f))where m(b) is the mass of the buggy. Thus, the total energy lost by the flywheel can be calculated by substituting t(x) into the above equation for E.

1. What is frictional energy loss in a clutched flywheel?

Frictional energy loss in a clutched flywheel refers to the amount of energy that is lost due to the friction between the flywheel and the clutch mechanism. This energy loss can occur during the operation of the flywheel, such as during acceleration or deceleration.

2. How does friction affect the performance of a clutched flywheel?

Friction can significantly impact the performance of a clutched flywheel. The more friction there is between the flywheel and the clutch, the more energy will be lost and the less efficient the flywheel will be. This can result in decreased power output and reduced overall performance.

3. What factors contribute to frictional energy losses in a clutched flywheel?

There are several factors that can contribute to frictional energy losses in a clutched flywheel. These include the type of material used for the flywheel and clutch, the condition of the surfaces, the amount of force applied to the clutch, and the speed at which the flywheel is rotating.

4. How can frictional energy losses in a clutched flywheel be reduced?

There are a few ways to reduce frictional energy losses in a clutched flywheel. One way is to use high-quality materials for both the flywheel and the clutch, as well as ensuring that the surfaces are clean and well-maintained. Additionally, using a proper lubricant can help reduce friction and improve the efficiency of the flywheel.

5. Are there any potential drawbacks to reducing frictional energy losses in a clutched flywheel?

While reducing frictional energy losses can improve the performance and efficiency of a clutched flywheel, there are potential drawbacks to consider. For example, using a lubricant may increase the risk of slippage, which can lead to further energy losses. Additionally, reducing friction too much can also cause the clutch to engage too quickly, potentially causing damage to the flywheel or other components.

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