From a waterfall, water is pouring down at the rate of 100 kg / s on the blades of a turbine. I

step 1 Hello, we have problem number 37 in which there is a turbine blade, let us suppose this to be a

From a waterfall, water is pouring down at the rate of 100...

From a waterfall, water is pouring down at the rate of $100 \mathrm{~kg} / \mathrm{s}$ on the blades of a turbine. If the height of the fall is 100 $\mathrm{m}$, the power delivered to the turbine is approximately equal to (a) $100 \mathrm{~kW}$ (b) $10 \mathrm{~kW}$ (c) $1 \mathrm{~kW}$ (d) $100 \mathrm{~W}$

From a waterfall, water is pouring down at the rate of $100 \mathrm{~kg} / \mathrm{s}$ on the blades of a turbine. If the height of the fall is 100
$\mathrm{m}$, the power delivered to the turbine is approximately equal to
(a) $100 \mathrm{~kW}$
(b) $10 \mathrm{~kW}$
(c) $1 \mathrm{~kW}$
(d) $100 \mathrm{~W}$

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Key Concepts

Gravitational Potential Energy

Gravitational potential energy is the energy stored by an object due to its position in a gravitational field. In energy conversion systems like hydroelectric power, it is the primary source of energy, as water stored at a height possesses potential energy that can be converted to kinetic energy when allowed to fall.

Mass Flow Rate

Mass flow rate is a measure of the amount of mass passing through a given area per unit time. In contexts such as hydropower, the mass flow rate of water directly influences the total energy available for conversion, as it determines how much potential energy is being released per second.

Power Calculation

Power is defined as the rate at which work is done or energy is transferred. In the conversion of gravitational potential energy to electrical energy in turbines, power can be calculated by multiplying the mass flow rate, the gravitational acceleration, and the height through which the water falls, providing a means to quantify the energy per unit time delivered to the turbine.

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