Calculate the power of a lamp when it is on for half an hour and does 54 kJ of work.Power = _____ W
Question
Calculate the power of a lamp when it is on for half an hour and does 54 kJ of work.
Power = _____ W
Solution
To calculate the power of the lamp, we need to use the formula for power which is:
Power = Work / Time
Given in the problem, the work done by the lamp is 54 kJ. However, power is typically measured in watts (W), and 1 W is equal to 1 joule/second. So, we need to convert 54 kJ to joules.
1 kJ = 1000 joules, so 54 kJ = 54,000 joules.
The time given is half an hour. We need to convert this to seconds because the standard unit of time in this context is the second.
1 hour = 3600 seconds, so half an hour = 1800 seconds.
Now we can substitute these values into the formula:
Power = 54,000 joules / 1800 seconds = 30 W.
So, the power of the lamp is 30 watts.
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