A63 kg object needs to be lifted 7 in a matter of 5 seconds approximately how much horsepowers is required to achieve this task
A63 kg object needs to be lifted 7 in a matter of 5 seconds approximately how much horsepowers is required to achieve this task
does anyone know or what?
We need to lift an object from a point A to another point B. So, we have these variables:
For the object:
m = 63Kg
Height:
h = 7in
Time:
t = 5s
Horsepower (hp) is a unit of measurement of power. So, the term was adopted in the late 18th century by Scottish engineer James Watt to compare the output of steam engines with the power of draft horses. So:
[tex]P = \frac{W}{t}[/tex]
So, we need to calculate the work W. A force is said to do work if, when acting, there is a displacement of the point of application in the direction of the force. In a mathematical language:
[tex]W=Fd[/tex]
Given that the displacement is vertically, this force will be:
[tex]F=mg=(63kg)(9.8m/s^{2})=617.4N[/tex]
We need to convert the unit in into m, so:
1in = 0.0254m
Then:
7in = 0.1778m
Therefore, as the displacement d = h:
[tex]W = (617.4)(0.1778)=109.77(J)[/tex]
Finally:
[tex]P= \frac{109.77}{5}=21.95W[/tex]
The result is expressed in Watts, so we need to convert it into hp, so:
1hp = 746W
[tex]P= 21.95W(\frac{1hp}{746W})=0.03hp[/tex]
some think that theories become laws, but theories and laws have separate and distinct roles in the scientific method. a law is a description of an observed phenomenon in the natural world that hold true every time it is tested. it doesn't explain why something is true; it just states that it is true.
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