Enter the flywheel mass (kg), the radius (m), and the angular acceleration (rad/s^2) into the calculator to determine the Flywheel Torque.
Flywheel Torque Formula
The following formula is used to calculate the Flywheel Torque (this assumes a uniform solid-disk flywheel, where the moment of inertia is I = (1/2)mr²).
T_{fw} = \frac{m r^2 a}{2}- Where Tfw is the Flywheel Torque (N-m)
- m is the flywheel mass (kg)
- r is the radius (m)
- a is the angular acceleration (rad/s^2)
To calculate flywheel torque, multiply the flywheel mass by the radius squared and the angular acceleration, then divide by 2.
How to Calculate Flywheel Torque?
The following example problems outline how to calculate the Flywheel Torque.
Example Problem #1
- First, determine the flywheel mass (kg). In this example, the flywheel mass (kg) is given as 20 .
- Next, determine the radius (m). For this problem, the radius (m) is given as 5 .
- Next, determine the angular acceleration (rad/s^2). In this case, the angular acceleration (rad/s^2) is found to be 6.
- Finally, calculate the Flywheel Torque using the formula above:
Tfw = (m*r^2*a)/2
Inserting the values from above and solving yields:
Tfw = (20*5^2*6)/2 = 1500 (N-m)
Example Problem #2
Using the same method as above, determine the variables required by the equation. For this example problem, these are provided as:
flywheel mass (kg) = 15
radius (m) = 10
angular acceleration (rad/s^2) = 7
Enter these given values yields:
Tfw = (15*10^2*7)/2 = 5250 (N-m)
