Flywheel Acceleration Time Calc: Solve for Time to Reach Max Speed

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SUMMARY

The discussion focuses on calculating the time required for an industrial flywheel with a diameter of 1.5 m and a mass of 250 kg to reach its maximum angular velocity of 1200 rpm, equivalent to 125.7 radians/second. The flywheel is spun up using a motor that applies a constant torque of 50 Nm. To solve for the time to reach maximum speed, participants emphasize the need to first determine the angular acceleration using the equation Torque (T) = Moment of Inertia (I) * Angular Acceleration (α), followed by calculating the time (t) using the derived angular acceleration.

PREREQUISITES
  • Understanding of angular velocity and its conversion to radians/second
  • Knowledge of torque and its relationship with angular acceleration
  • Familiarity with the concept of moment of inertia for a flywheel
  • Basic proficiency in solving equations involving rotational dynamics
NEXT STEPS
  • Calculate the moment of inertia for a solid cylinder flywheel
  • Learn how to derive angular acceleration from torque and moment of inertia
  • Explore the relationship between angular acceleration and time in rotational motion
  • Investigate real-world applications of flywheel energy storage systems
USEFUL FOR

Engineering students, mechanical engineers, and anyone interested in the principles of rotational dynamics and energy storage systems will benefit from this discussion.

paulsberardi
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Homework Statement


Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power. An industrial flywheel has a 1.5 m diameter and a mass of 250 kg. Its maximum angular velocity is 1200 rpm. A motor spins up the flywheel with a constant torque of 50 Nm. How long does it take the flywheel to reach top speed?

This gave me...
radius = .75m
mass = 250kg
max Angular Velocity = 125.7 radians/second
torque = 50 Nm

Homework Equations


I wasn't sure how to approach the problem. I was trying to figure out how to find angular acceleration, but unsure if that was possible. Please let me know the steps.
 
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Torque T = I*α. Find the moment of inertia of the flywheel. Torque is given. Find α, and then t.
 

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