Answer:
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Answer:
The dimension is L
Explanation:
Dimension analysis is a method of representing quantities majorly with respect to some fundamental quantities of mass (M), length (L), time (T).
A sphere has a definite volume which relates to its radius by:
V =
In this equation is a dimensionless quantity, and the unit of v is .
But, metre is a measure of length, thus it has a dimension of L.
So that,
≅
Then,
=
Find the cube root of both sides to have,
r = L
Therefore, the dimension of the radius of a sphere is L.
A device that changes mechanical energy to electrical energy by rotatin a coil of wire through a magnetic field is called B. Generator
Answer:
The Hydrostatic force is
The location of pressure center is
Explanation:
From the question we are told that
The height of the gate is
The weight of the gate is
The height of the water is
The density of water is
Note used for height of water and height of gate immersed by water since both have the same value
The area of the gate immersed in water is mathematically represented as
substituting values
The hydrostatic force is mathematically represented as
Where
So
The center of pressure is mathematically represented as
Where is the moment of inertia of the gate which mathematically represented as
The is the height of gate immersed in water
Thus
This is another time to look at Newton's 2nd law of motion:
Net Force = (mass) x (acceleration)
If the object is not moving, then its acceleration is certainly zero, and Newton's law looks like this:
Net Force = (mass) x (zero)
or Net Force = (zero) .
"Net Force = zero" means that if there ARE any forces acting on the object, then they add up to zero, and we call them "balanced" forces.
So the answer is '<em>yes</em>', and that's why.