"The Energy Expended by a turning wheel" refers to the amount of energy required to rotate a wheel or object around an axis. This energy is used to overcome friction and any other resistance that may be present, in order to keep the wheel in motion.
The amount of energy expended by a turning wheel is affected by several factors, including the weight and size of the wheel, the speed at which it is turning, and the surface it is turning on. The type of material the wheel is made of and any external forces acting on it can also impact the amount of energy required.
The energy expended by a turning wheel can be calculated using the formula E = 1/2 * I * ω^2, where E is the energy, I is the moment of inertia of the wheel, and ω is the angular velocity (speed) of the wheel. This formula takes into account the mass and distribution of the wheel's mass, as well as its speed.
The energy expended by a turning wheel is directly related to its efficiency. A more efficient wheel will require less energy to turn, as it will have less friction and resistance to overcome. This is why wheels with low friction bearings and well-lubricated axles are able to rotate more easily and efficiently.
The energy expended by a turning wheel can be reduced by minimizing friction and resistance. This can be achieved through proper lubrication, using materials with low coefficients of friction, and reducing the weight and size of the wheel. Additionally, increasing the wheel's speed can also reduce the amount of energy required to turn it.