Angular Velocity & Mass: Shaft Rotation & Disc Effects

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SUMMARY

The discussion centers on the relationship between angular velocity and mass in a rotating shaft system. When a disc is attached to a shaft rotating at 1500 RPM, the angular velocity of the disc remains at 1500 RPM initially. However, if the mass of the disc increases to 50 kg, the angular velocity will decrease due to the conservation of angular momentum, as the system must balance the increased rotational inertia. The principle of momentum conservation dictates that the total angular momentum before and after the mass is added must remain constant.

PREREQUISITES
  • Understanding of angular momentum conservation
  • Familiarity with rotational dynamics
  • Basic knowledge of RPM (Revolutions Per Minute)
  • Concept of rotational inertia
NEXT STEPS
  • Study the principles of rotational dynamics in detail
  • Learn about the calculation of rotational inertia for different shapes
  • Explore the effects of mass changes on angular velocity in practical applications
  • Investigate real-world examples of angular momentum conservation in machinery
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in the design or analysis of rotating systems will benefit from this discussion.

luk4rite
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How does the angular velocity change with increase in the mass?
For example : if there is a shaft rotating at 1500 Rpm , then if a disc of 5 kg is fastened , does the angular velocity of the disc will be same as 1500 RPM , and what happens to the RPM if the disc mass is 50Kg.
 
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luk4rite said:
How does the angular velocity change with increase in the mass?
For example : if there is a shaft rotating at 1500 Rpm , then if a disc of 5 kg is fastened , does the angular velocity of the disc will be same as 1500 RPM , and what happens to the RPM if the disc mass is 50Kg.

Momentum (angular or translational) is conserved. If the extra mass were simply attached from rest to the shaft, the mass would go from I\omega=0 to some rotational momentum greater that zero. The spinning shaft would have to lose enough angular velocity such that the sum of the rotational momenta (those of the 5 Kg mass and of the shaft) was the same.
 

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