Flywheel Help: Which Will Keep Turning Longest?

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In summary, the conversation discusses the effect of weight on the rotational motion of flywheels. It is concluded that assuming equal friction, the heaviest flywheel will rotate the longest due to its higher rotational kinetic energy. The concept of mass moment of inertia and its relationship to rotational motion is also mentioned. The conversation also explores the impact of mass on friction in rotational motion.
  • #1
buckstar
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I have 3 x Flywheels of equal dimensions but different weight eg a.400lbs b.800lbs c.2000lbs,which one will keep turning the longest? Or is there no difference?
 
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  • #2
If they start at the same speed, and you assume that they all have experience the same friction, the heaviest will spin the longest. However, the heavier wheel is likely to experience more friction than the lighter wheels.
 
  • #3
Assuming zero friction, all three flywheels will continue to rotate forever, in accordance with the law of conservation of angular momentum.
But when equal amount of friction is assumed to act on all three flywheels, then the flywheel with maximum rotational kinetic energy will rotate longer.
Rotational kinetic energy=(mass moment of inertia * (angular velocity)^2)/2
Notice that the formula for rotational kinetic energy is similar to kinetic energy formula in linear motion.
Mass moment of inertia is the rotational counterpart of mass(inertia) in linear motion,
Mass moment of inertia = mass * (radius of gyration)^2
Radius of gyration is a measure of how far the mass is distributed away from the axis of rotation.
 
  • #4
Assuming the surfaces experiencing friction were the same (same frictional coeffiecient?), how much would the actual rotational friction differ due to different masses?
 
  • #5
pa5tabear said:
Assuming the surfaces experiencing friction were the same (same frictional coeffiecient?), how much would the actual rotational friction differ due to different masses?

Friction is directly proportional the normal force. This means it's also directly proportional to mass, so doubling the mass will double the friction.
 

1. What is a flywheel and how does it work?

A flywheel is a mechanical device that stores rotational energy and helps to maintain a steady rotation in a machine. It works by using its mass and inertia to resist changes in speed or direction.

2. How does the size of a flywheel affect its performance?

The size of a flywheel affects its performance by increasing the amount of rotational energy it can store. A larger flywheel will have a greater moment of inertia, which means it will resist changes in speed or direction more effectively than a smaller flywheel.

3. Which type of flywheel is better: a solid or a spoked flywheel?

The type of flywheel that is better depends on the specific application. A solid flywheel is more durable and can store more energy, but a spoked flywheel is lighter and can reach higher speeds. It is important to consider the specific needs and constraints of the machine when choosing between these two types of flywheels.

4. How does the material of the flywheel affect its performance?

The material of the flywheel can affect its performance in several ways. A heavier material will increase the moment of inertia and allow for more energy storage, but it may also increase the weight and size of the flywheel. A lighter material may allow for higher speeds, but it may not be as durable. The choice of material should be based on the specific needs and constraints of the machine.

5. How can I calculate the rotational energy and performance of a flywheel?

The rotational energy and performance of a flywheel can be calculated using the formula E = 1/2 * I * ω^2, where E is the energy, I is the moment of inertia, and ω is the angular velocity. The moment of inertia can be calculated by multiplying the mass of the flywheel by the square of its radius. The angular velocity can be measured or calculated based on the speed of rotation.

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