Calculate average Power

Added: 2026-05-19

[00:00:02]How much average power in kilowatts and horsepower is required to lift a block of 100 kg to a height of 10 m in 30 seconds?

[00:00:11]So, to break down this question, first of all, the definition of power is that power is equals to the work done over time, the rate at which at which work is done.

[00:00:26]Then, power is equals Now, we know that work done in this case, we have a mass, height, and time. And then, it's being lifted in the Y axis.

[00:00:40]This means that it's going against gravity. So, the the type of energy here will be potential energy.

[00:00:45]So, where there's work done, we'll replace that with our potential energy.

[00:00:51]Since work is also a form of energy, it can be replaced with potential or kinetic.

[00:00:56]So, power will be equals to work done is simply mgh divided by t. So, our power will be Mass given is 100 kg.

[00:01:10]Acceleration due to gravity, let's use 9.8.

[00:01:13]It's being raised at a height of 10 over a time period of 30.

[00:01:21]So, 100 * 9.8 * 10 / 30.

[00:01:28]This gives us a power of 300 and 26.7.

[00:01:38]Now, this is in watts.

[00:01:41]The question requires kilowatts and horsepower.

[00:01:45]So, the power in kilowatts will be 326.7 watts.

[00:01:54]Divide this by 1,000.

[00:01:57]So, this will be 0.

[00:02:00]326 7 kilo watts.

[00:02:07]Then, now in horsepower, the conversion factor is that 1 horsepower is equals to 746 watts.

[00:02:18]So, how about 326.7 watts is equals to x?

[00:02:25]So, in this case, our x will be For cross multiply, we'll have 326.7 / 7 46.

[00:02:38]So, let's see what we get.

[00:02:45]This gives us 0.44.

[00:02:48]So, 0.

[00:02:51]4 3 789, something like that.

[00:02:57]So, we can just say the power is 0.44 horsepowers.

[00:03:05]So, there you have it. We have the kilowatt as well as the horsepower.