Enter the moment of inertia (kg-m^2), the angular velocity (rad/s), and the time (s) into the calculator to determine the Flywheel Power.
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Flywheel Power Formula
The following formula is used to calculate the Flywheel Power.
Pfw = 1/2*I*w^2 / t
- Where Pfw is the Flywheel Power (watts)
- I is the moment of inertia (kg-m^2)
- w is the angular velocity (rad/s)
- t is the time (s)
To calculate the flywheel power, multiply the momentum of inertia by the angular velocity squared, then divide by the 2 times the time.
How to Calculate Flywheel Power?
The following example problems outline how to calculate Flywheel Power.
Example Problem #1
- First, determine the moment of inertia (kg-m^2). In this example, the moment of inertia (kg-m^2) is determined to be 4 .
- Next, determine the angular velocity (rad/s). For this problem, the angular velocity (rad/s) is measured to be 4 .
- Next, determine the time (s). In this case, the time (s) is found to be 10.
- Finally, calculate the Flywheel Power using the formula above:
Pfw = 1/2*I*w^2 / t
Inserting the values from above and solving yields:
Pfw = 1/2*4*4^2 /10 = 3.2(watts)
Example Problem #2
Using the same method as above, determine the variables required by the formula. For this example problem, these are:
moment of inertia (kg-m^2) = 56
angular velocity (rad/s) = 7
time (s) = 9
Enter these given values into the calculator or above yields:
Pfw = 1/2*45*7^2 / 9 = 122.5 (watts)