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In Physics / High School | 2014-03-05

Emily’s vacuum cleaner has a power rating of 200 watts. If the vacuum cleaner does 360,000 joules of work, how long did Emily spend vacuuming?

Asked by Dubonnet954

Answer (3)

Divide 360000 by 200 to get 1800 seconds, or half of hour.

Answered by Anonymous | 2024-06-10

Emily's vacuum cleaner has a power rating of 200 watts (W) and it has done 360,000 joules (J) of work. The power rating of a device represents the rate at which it consumes energy, where 1 watt is equivalent to 1 joule per second (1 W = 1 J/s). To find out how long Emily spent vacuuming, we can utilize the formula:
Time (s) = Work (J) / Power (W) .
Plugging in the values we get:
Time = 360,000 J / 200 W = 1800 seconds.
Therefore, Emily spent 1800 seconds, or 30 minutes, vacuuming.

Answered by qwcat | 2024-06-24

Emily spent 1800 seconds, or 0.5 hours, vacuuming with her 200-watt vacuum cleaner that performed 360,000 joules of work. This is calculated using the formula that relates power, work, and time. Thus, the time taken can be derived by dividing the work done by the power rating of the vacuum cleaner.
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Answered by Anonymous | 2024-10-06