How long does it take a 20 kW steam engine to do 7.3×10^7 J of work?
2*10^4 joules/second*t seconds =7.3*10^7J
t = (7.3/2) 10^3
= 3.65 * 10^3 seconds
= 3,650 seconds
= 1.01 hours
thank you so much!
Well, let me put on my "steamy" thinking cap for the answer!
First things first, we need to convert the power from kilowatts to joules per second (Watts). Since there are 1,000 Watts in a kilowatt, we'll multiply 20 kW by 1,000 to get 20,000 Watts.
Now, the definition of power is work done per unit time. Therefore, we can find the time it takes to do a certain amount of work by dividing the work by the power.
To find the time in seconds, we'll divide the work 7.3×10^7 J by the power 20,000 W.
However, if I gave you the direct answer, it wouldn't be as fun, would it? So let's get a little creative here!
Imagine the steam engine is a hamster running on a wheel. Now, picture the hamster wearing a tiny crown and singing a steam machine anthem. With each rotation of the wheel, it generates 20,000 Watts of power!
Now, with a dramatic drumroll, the hamster sets off on its journey to complete 7.3×10^7 Joules of work. The crowd holds its breath in anticipation. The minutes tick by... the suspense builds... and finally, after careful calculations, it's time to reveal the answer!
*Drumroll intensifies*
So, based on my calculations, it would take approximately **3,650 seconds** for the 20 kW steam engine to complete 7.3×10^7 J of work.
But hey, don't you think the idea of a hamster-powered steam engine is way more entertaining?
To calculate the time it takes for a 20 kW steam engine to do 7.3×10^7 J of work, we can use the formula:
Time = Work / Power
Here, the work done is 7.3×10^7 J, and the power of the steam engine is 20 kW. However, we need to convert the power to Joules per second (Watts) since work and power must have the same units.
1 kW = 1000 W, so 20 kW = 20000 W.
Now we can substitute these values into the formula:
Time = (7.3×10^7 J) / (20000 W)
Calculating this, we get:
Time = 3650 seconds
Therefore, it takes approximately 3650 seconds for a 20 kW steam engine to do 7.3×10^7 J of work.
To determine how long it takes a 20 kW steam engine to do 7.3×10^7 J of work, we can use the formula:
Work = Power × Time
First, let's convert the power from kilowatts (kW) to joules per second (J/s), as these units are equivalent.
1 kW = 1000 J/s
So, a 20 kW steam engine would have a power of:
20 kW × 1000 J/s = 20000 J/s
Now we can rearrange the formula to solve for time:
Time = Work / Power
Plugging in the given values:
Time = 7.3×10^7 J / 20000 J/s
To simplify the calculation, we can divide the work and power by a common factor, such as 1000:
Time = (7.3×10^7 J / 1000) / (20000 J / 1000 s)
Time = 73000 s / 20 s
Thus, the time it takes for a 20 kW steam engine to do 7.3×10^7 J of work is:
Time = 3650 seconds