Rotational motion of a high speed flywheel.

In summary, a high-speed flywheel with a mass of 36.0 kg and diameter of 70.0 cm is spinning at 450 rpm when a power failure occurs. After 34.0 seconds of the power being off, the flywheel slows down due to friction and makes 180 complete revolutions. The problem is to determine the rate at which the flywheel is spinning when the power comes back on.
  • #1
graustet
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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 power is off, the flywheel makes 180 complete revolutions.

At what rate is the flywheel spinning when the power comes back on?

Homework Equations



This is where i need help! i don't know how to set up the problem so that i can find the answer.

The Attempt at a Solution

 
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  • #2
I think you should make a wild attempt at a solution first even if you are not sure. Think about what is happening to the fly wheel at the end of the 34 seconds when the power is off.
 

Related to Rotational motion of a high speed flywheel.

1. What is rotational motion of a high speed flywheel?

Rotational motion of a high speed flywheel refers to the circular movement of a rotating object, such as a flywheel, around an axis. In this type of motion, the object maintains a constant angular velocity and experiences centripetal acceleration towards the center of rotation.

2. How does a high speed flywheel work?

A high speed flywheel works by storing energy in the form of rotational kinetic energy. As the flywheel spins at a high speed, it has a large amount of rotational energy that can be converted into other forms of energy, such as electrical energy in a flywheel-based energy storage system.

3. What factors affect the rotational motion of a high speed flywheel?

The rotational motion of a high speed flywheel can be affected by factors such as the mass of the flywheel, the speed at which it is rotating, and the shape and size of the flywheel. Other external factors, such as friction and air resistance, can also have an impact on the flywheel's motion.

4. What are the applications of rotational motion of high speed flywheels?

The rotational motion of high speed flywheels has various applications, including energy storage in flywheel-based systems, power generation in engines and turbines, and stabilization and balancing in machines and vehicles.

5. How is the rotational motion of a high speed flywheel calculated?

The rotational motion of a high speed flywheel can be calculated using the formula ω = v/r, where ω is the angular velocity, v is the linear velocity of a point on the flywheel's edge, and r is the radius of the flywheel. The moment of inertia of the flywheel, which is affected by its mass distribution, is also taken into account in the calculation.

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