A mini hydroelectric plant supplies a continuous power output of 2.5 MW to a nearby…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A mini hydroelectric plant supplies a continuous power output of 2.5 MW to a nearby industrial estate. (i) Convert

2.5\,\text{MW}

to watts and then to joules per second. (ii) The estate plans to operate simultaneously: 400 machines each of

3.2\,\text{kW}

, 120 space heaters each of

1.5\,\text{kW}

and one emergency pump of

250\,\text{W}

. Calculate the total power demand in megawatts. (iii) Decide whether the plant can meet this demand. If it cannot, determine the shortfall in kilowatts; if it can, state the surplus in kilowatts.

Related theory

Measurement Systems
Power
Work, Energy and Power
Energy and power
Power (rate of doing work)
Work and Energy

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