A certain toy “helicopter” or “whirlybird” consists simply of a propeller attached to a shaft that is spun rapidly by hand to a certain angular speed ω0 and then released. The spinning propeller/shaft flies upward as the angular speed of its turning decreases. The propeller and shaft each have length L and mass m and the propeller has moment of inertia 1/12 mL2. (a) Based on conservation of energy derive an expression for the maximum height the toy could possibly attain in terms of the given quantities and appropriate constants. (b) The observed maximum height of such a toy would be substantially less than this – explain.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.