Answer:
If you mean two sides are 7 and two sides are 14 then you'd have 42
and for the second you'd have 14
Explanation:
7 + 7 = 14, 14 + 14 = 28, 14 + 28 = 42
3 + 3 = 6, 4 + 4 = 8, 8 + 6 = 14
Answer:
The pressure drop across the pipe also reduces by half of its initial value if the viscosity of the fluid reduces by half of its original value.
Explanation:
For a fully developed laminar flow in a circular pipe, the flowrate (volumetric) is given by the Hagen-Poiseulle's equation.
Q = π(ΔPR⁴/8μL)
where Q = volumetric flowrate
ΔP = Pressure drop across the pipe
μ = fluid viscosity
L = pipe length
If all the other parameters are kept constant, the pressure drop across the circular pipe is directly proportional to the viscosity of the fluid flowing in the pipe
ΔP = μ(8QL/πR⁴)
ΔP = Kμ
K = (8QL/πR⁴) = constant (for this question)
ΔP = Kμ
K = (ΔP/μ)
So, if the viscosity is halved, the new viscosity (μ₁) will be half of the original viscosity (μ).
μ₁ = (μ/2)
The new pressure drop (ΔP₁) is then
ΔP₁ = Kμ₁ = K(μ/2)
Recall,
K = (ΔP/μ)
ΔP₁ = K(μ/2) = (ΔP/μ) × (μ/2) = (ΔP/2)
Hence, the pressure drop across the pipe also reduces by half of its initial value if the viscosity of the fluid reduces by half of its value.
Hope this Helps!!!
Given :
Force,
.
Force is acting at point A( 2 m, 3 m ) and B( 3 m, 5 m )
To Find :
The work done by force F .
Solution :
Displacement vector between point A and B is :
![\vec{d} = (3-2)\hat{i} + (5-3)\hat{j}\\\\\vec{d} = \hat{i} + 2\hat{j}](https://tex.z-dn.net/?f=%5Cvec%7Bd%7D%20%3D%20%283-2%29%5Chat%7Bi%7D%20%2B%20%285-3%29%5Chat%7Bj%7D%5C%5C%5C%5C%5Cvec%7Bd%7D%20%3D%20%5Chat%7Bi%7D%20%2B%202%5Chat%7Bj%7D)
Now, we know work done is given by :
![W = \vec{F}.\vec{d}\\\\W= (2\hat{i} + 5\hat{j}).(\hat{i}+\hat{2j})\\\\W = (2\times 1) +( 5\times 2) \ kJ\\\\W = 12 \ kJ](https://tex.z-dn.net/?f=W%20%3D%20%5Cvec%7BF%7D.%5Cvec%7Bd%7D%5C%5C%5C%5CW%3D%20%282%5Chat%7Bi%7D%20%2B%205%5Chat%7Bj%7D%29.%28%5Chat%7Bi%7D%2B%5Chat%7B2j%7D%29%5C%5C%5C%5CW%20%3D%20%282%5Ctimes%201%29%20%2B%28%205%5Ctimes%202%29%20%5C%20kJ%5C%5C%5C%5CW%20%3D%2012%20%5C%20kJ)
W = 12000 J
Therefore, work done by force is 12000 J .
Answer:
A motion sensor uses one or multiple technologies to detect movement in an area. When a sensor detects motion, it sends a signal to your security systems control panel, which connects to your monitoring panel system. This alerts you and the monitoring center to a potential threat in your home.
Hope It Helps You................