Question

How many watt-hours are there in \[1000\] joules? Please explain mathematically.

Answer 1

Hint: The watt is named after the Scottish inventor James Watt. This unit name was proposed at first \[C\] . William Siemens. The watt was characterized as equivalent to \[107\] units of intensity. One watt was currently characterized as the amount of energy moving in a unit of time, to be specific\[1{\text{ }}J/s\].

Complete step by step answer:
We know that the si unit of power is the watt.
Thus, \[{\text{Power = Work }}\left( {\text{J}} \right){\text{/time }}\left( {{\text{sec}}} \right)\]
To calculate time in hours,
\[1sec = 1/60{\text{ }}min = 1/\left( {60 \times 60} \right)hrs = 1/3600hrs\]
Power \[ = {\text{ }}1000/3600 = 0.278watts\]

Note: The terms force and energy are firmly related however unmistakable actual amounts. Force is the rate at which energy is created or devoured and thus is estimated in units for example watts that speak to energy per unit time. For instance, when light with a force rating of \[100W\] is turned on for \[60\] minutes, the energy utilized is \[100\] watt-hours, \[0.1\] kilowatt-hour, or\[360{\text{ }}kJ\]. This equivalent measure of energy would light a \[40\] watt bulb for \[2.5\] hours or a \[50\] watt bulb for two hours. The watt second is a unit of energy, equivalent to the joule. One kilowatt-hour is \[3,600,000\] watt-seconds.
Power stations are appraised utilizing units of intensity, normally megawatts or gigawatts, for instance, the Three Gorges Dam in China, is evaluated at around \[22\] gigawatts. This mirrors the greatest force yield it can accomplish anytime. A force station's yearly energy yield, in any case, would be recorded utilizing units of energy, ordinarily gigawatts hours. Significant energy creation or utilization is regularly communicated as terawatt hours for a given period; frequently a schedule year or monetary year. One terawatt hour of energy is equivalent to a supported force conveyance of one terawatt for \[60\] minutes, or roughly \[114\] megawatts for a time of one year.