How Long Does It Take for a Turbine to Reach Operating Speed?

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SUMMARY

The discussion focuses on calculating the time required for a turbine to reach its operating speed of 3200 RPM while accelerating at 0.43 rad/s². The key equations involve angular velocity and angular acceleration, which are analogous to linear motion equations. Participants emphasize the importance of understanding angular concepts to solve the problem effectively.

PREREQUISITES
  • Understanding of angular velocity and acceleration
  • Familiarity with the relationship between RPM and rad/s
  • Knowledge of kinematic equations for rotational motion
  • Basic algebra for solving equations
NEXT STEPS
  • Learn how to convert RPM to rad/s for angular calculations
  • Study kinematic equations specific to rotational motion
  • Explore practical applications of angular acceleration in engineering
  • Investigate the dynamics of turbine operation in power plants
USEFUL FOR

Engineering students, mechanical engineers, and anyone involved in power plant operations or turbine design will benefit from this discussion.

ingy489
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Homework Statement



During startup of a power plant, a turbine accelerates from rest at 0.43 \rm {rad/s^2}.How long does it take to reach its 3200 \rm {rpm} operating speed? How many revolutions does it make during this time?

Homework Equations





The Attempt at a Solution

 
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ingy489 said:
During startup of a power plant, a turbine accelerates from rest at 0.43 \rm {rad/s^2}.How long does it take to reach its 3200 \rm {rpm} operating speed? How many revolutions does it make during this time?

Hi ingy489! Welcome to PF! :smile:

Hint: this is about angles, angular velocity, and angular acceleration.

You can use the same formulas as for linear velocity and acceleration. :wink:
 

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