A transformer for a laptop computer converts a 120-V input to a 24-V output. If the output current for the transformer is 1.8 A,
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The characteristics of the scalar product allows to find the angle between the two vectors is:
- The angle θ = 170º
The scalar product is the product between two vectors whose result is a scalar.
A . B = |A| |B| cos θ
Where A and B are the vectors, |A| and |B| are the modules of the vectors and θ at the angle between them.
The vector is given in Cartesian coordinates and the unit vectors in these coordinates are perpendicular.
i.i = j.j = 1
i.j = 0
A . B = (4 i - 4j). * -5 i + 7j)
A . B = - 4 5 - 4 7
A. B = -48
We look for the modulus of each vector.
|A| =
|A| =
|A| = 4 √2
|B| =
|B| = 8.60
We substitute.
-48 = 4√2 8.60 cos θ
-48 = 48.66 cos θ
θ = cos⁻¹
θ = 170º
In conclusion using the dot product we can find the angle between the two vectors is:
- the angle θ = 170º
Learn more about the scalar product here: brainly.com/question/1550649
Answer:
a
b
Explanation:
From the question we are told that
The pressure of the manometer when there is no gas flow is
The level of mercury is
The drop in the mercury level at the visible arm is
Generally when there is no gas flow the pressure of the manometer is equal to the gauge pressure which is mathematically represented as
Here is the density of mercury with value
and is the difference in the level of gas in arm one and two
So
Generally the height of the mercury at the arm connected to the pipe is mathematically represented as
=>
Generally from manometry principle we have that
Here is the pressure of the gas
converting to psig