It is estimated that in the United States (population 250 million) there is one electric clock per person, with each clock using energy at a rate of 3.5 W. Using this estimate, how much energy is consumed by all the electric clocks in the United States in a year?
1 . J
I got 2.36e+16 but its wrong
(3.5)W •(365)days•(24) hours•(3600)sec •250•10^6=2.76•10^16 J
To anyone else looking for this answer, I suck at physics but I'd like to point out that the book says "2.5 Watts" NOT 3.5 like Brianna has in her question and Elena has in her answer.
Well, it seems like every person in the United States has a personal electric clock! That's impressive. Let's do some calculations, shall we?
The total energy consumed by all the electric clocks in the United States can be calculated by multiplying the population by the power used by each clock and the time in a year. So, the equation would be:
Energy consumed = Population x Power per clock x Time
Plugging in the values:
Population = 250 million (or 2.5 x 10^8)
Power per clock = 3.5 W
Time = 1 year
Energy consumed = 2.5 x 10^8 x 3.5 x 1 = 8.75 x 10^8 J
So, it looks like all the electric clocks in the United States consume approximately 8.75 x 10^8 joules of energy in a year. That's a lot of clock power!
To calculate the energy consumed by all the electric clocks in the United States in a year, we can follow these steps:
Step 1: Calculate the total number of electric clocks in the United States.
Since it is estimated that there is one electric clock per person, we can multiply the population of the United States by the number of electric clocks per person:
250 million people x 1 clock/person = 250 million electric clocks.
Step 2: Calculate the power consumed by a single electric clock in Watts.
Since each clock uses energy at a rate of 3.5 W, the power consumed by a single electric clock is 3.5 W.
Step 3: Calculate the total energy consumed by all electric clocks in a year.
To do this, we need to convert the power consumption per clock from Watts to Joules since energy is measured in Joules.
One Watt (W) is equal to one Joule per second (J/s).
Therefore, we can use the conversion factor: 1 W = 1 J/s.
To calculate the total energy consumed by all electric clocks in a year, we can multiply the total number of clocks by the power consumed per clock and then multiply by the number of seconds in a year:
250 million electric clocks x 3.5 W per clock x 365 days/year x 24 hours/day x 60 minutes/hour x 60 seconds/minute.
Let's calculate this:
250,000,000 x 3.5 x 365 x 24 x 60 x 60 = 2,920,500,000,000,000 Joules.
So, the total energy consumed by all electric clocks in the United States in a year is approximately 2.92 x 10^15 Joules.
To calculate the energy consumed by all the electric clocks in the United States in a year, you can use the formula:
Energy (in joules) = Power (in watts) x Time (in seconds)
First, let's calculate the total power consumed by all the electric clocks in the United States:
Power per clock = 3.5 W
Number of clocks in the United States = Population (250 million)
Total power consumed = Power per clock x Number of clocks
Total power consumed = 3.5 W x 250,000,000 clocks
Now, we need to convert the time into seconds. Since the question asks for the energy consumed in a year, we need to convert the time to seconds:
1 year = 365 days x 24 hours x 60 minutes x 60 seconds
1 year = 31,536,000 seconds
Finally, multiply the total power consumed by the time:
Energy consumed = Total power consumed x Time
Energy consumed = (3.5 W x 250,000,000 clocks) x 31,536,000 seconds
Calculating this equation will give you the energy consumed in joules.