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

AI Thread Summary
To determine how long it takes for a turbine to reach its operating speed of 3200 rpm while accelerating at 0.43 rad/s², one can apply the equations of motion for angular acceleration. The conversion from rpm to rad/s is necessary for calculations, where 3200 rpm equals approximately 335.1 rad/s. Using the formula for angular acceleration, the time to reach this speed can be calculated. Additionally, the total number of revolutions made during this time can be found using the angular displacement formula. Understanding these principles is essential for solving the problem effectively.
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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Welcome to PF!

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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