What is Rotational Weight?
Rotational weight is the tangential force required to angularly accelerate a rotating object. It combines the object's mass, the radius of rotation, and the angular acceleration into a single force value. This concept is used in engineering, vehicle dynamics, and sports science to understand the forces involved in spinning wheels, flywheels, and other rotating components.
How to Calculate Rotational Weight
Here is the formula:
[\text{RW} = m \times r \times \alpha]
Where:
- RW is the rotational weight (force) in newtons (N).
- m is the mass in kilograms (kg).
- r is the radius in meters (m).
- α is the angular acceleration in radians per second squared (rad/s²).
If mass is given in pounds, convert to kilograms by dividing by 2.20462.
Calculation Example
A flywheel has a mass of 8 kg, a radius of 3 m, and an angular acceleration of 2 rad/s².
[\text{RW} = 8 \times 3 \times 2 = 48]
The rotational weight is 48 N.