What's the final tangential velocity of the mill wheel?

In summary, the conversation discusses a problem involving a mill wheel with a mass of 400 kg and a radius of 2.50 m, driven by a jet of water to a tangential velocity of 5.00 m/s. The question is whether the loss of 4 blades, each with a mass of 3.00 kg, will have a significant impact on the final tangential velocity of the wheel. It is suggested to calculate the new moment of inertia after the blades are lost. However, more information is needed for a complete solution to the problem.
  • #1
mathematikoon
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A mill wheel 400 kg and radius 2.50 m, with 8 blades diametrically opposed to each other of 3.00 kg each, is driven by a jet of water to a tangential velocity of 5.00 m / s. If a rock off 4 blades diametrically opposed, what will be the final tangential velocity of the treadmill? My question is: should take into account the inertial moment of the blades or is negligible for the resolution of this exercise?
 
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  • #2
This problem is not about what happens to the wheel when the blades broke off, rather what happens after they broke off. The loss of their mass will adjust the inertia of the entire wheel. Since there is no info about the size of the blades, I would assume that they are positioned at the given radius of the wheel, so the "new" wheel is 12 kg less massive. Figure out the new moment of inertia and proceed.

There must be more information for this problem than you gave here.
 

1. What is tangential velocity?

Tangential velocity is the speed at which an object moves in a circular path at a given point, measured in meters per second (m/s).

2. How is tangential velocity calculated?

Tangential velocity can be calculated by dividing the circumference of a circle by the time it takes for the object to complete one full rotation. The formula is V=2πr/T, where V is tangential velocity, r is the radius of the circle, and T is the time it takes for one rotation.

3. How does the mill wheel's tangential velocity affect its rotation?

The tangential velocity of the mill wheel directly affects its rotation speed. The higher the tangential velocity, the faster the mill wheel will rotate, and vice versa.

4. What factors can affect the final tangential velocity of the mill wheel?

The final tangential velocity of a mill wheel can be affected by various factors, such as the diameter and weight of the wheel, the force applied to turn the wheel, and any friction or resistance present in the system.

5. What is the importance of knowing the final tangential velocity of a mill wheel?

Knowing the final tangential velocity of a mill wheel is crucial in understanding its performance and efficiency. It can also help in determining the necessary force and power required to operate the mill wheel and ensure it is functioning optimally.

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