Final answer:
To calculate the kinetic energy (Kw) of a rotating object, use the formula Kw = 1/2 × m × v². For a mass of 1000.0 kg and a velocity of 20.0 m/s, the kinetic energy would be 2.00 × 10µ J.
Step-by-step explanation:
To calculate the kinetic energy (Kw) of a rotating water wheel, the correct formula to use is the translational kinetic energy equation, d. 1/2mv². This formula represents the kinetic energy of an object in motion and is applicable when you have values for the mass (m) and the velocity (v) of the object. Inserting the appropriate values into the equation, Kw is obtained by Kw = 1/2 × m × v².
For example, if the water wheel has a mass of 1000.0 kg and is rotating with a velocity of 20.0 m/s, then the kinetic energy would be calculated as:
Kw = 1/2 × 1000.0 kg × (20.0 m/s)² = 2.00 × 10µ J.