How to calculate the area
for example, when an elephant stands still, the force area is the landing area of its four feet. When it walks, the force area of its foot off the ground should be subtracted,
S (stress area) = f (pressure) / P (pressure)
the ratio of the pressure on an object to the area under force is called pressure. Pressure is used to compare the effect of pressure. The greater the pressure is, the more obvious the effect of pressure is. The calculation formula of pressure is: P = f / s
There are two ways to increase the pressure: to increase the pressure when the stress area is constant or to decrease the stress area when the pressure is constant The methods to rece the pressure are as follows: to rece the pressure under the condition that the stress area remains unchanged or to increase the stress area under the condition that the pressure remains unchanged
extended data:
1. When the stress area is fixed, the pressure increases with the increase of pressure At this time, the pressure is proportional to the pressure)
2. If the same pressure acts on the surface of the support, if the stress area is different, the pressure proced is also different. When the stress area is small, the pressure is large; When the stress area is large, the pressure is small
Pressure and pressure are two completely different concepts: pressure is the force on the support surface and perpendicular to the support surface, which has nothing to do with the support surface area and the size of the force area4. The unit of pressure and pressure is different. The unit of pressure is Newton, which is the same as the unit of general force. The unit of pressure is a compound unit, which is composed of the unit of force and the unit of area
s = g: P (premise of this formula: it must be on the horizontal plane. G is gravity)
s = mg: P (M is mass, g = 9.8n/kg). It must be in horizontal plane)
s = contact area (not common)
by the way, correct P = f: s instead of P = FS
the unit of pressure is Newton
the unit of area is square centimeter
the unit of pressure is Pascal
square
C perimeter
s area
a side length
perimeter = side length × 4
C = 4A
area = side length × Side length
s = a × A
2
cube
V: Volume
A: edge length
surface area = edge length × Edge length × 6
s table = a × a × 6
volume = edge length × Edge length × Edge length
V = a × a × A
3
rectangle
C perimeter
s area
a side length
perimeter = (length + width) × 2
C = 2 (a + b)
area = length × Width
s = AB
4
cuboid
V: Volume
s: Area
A: length
b:
width
H: height
(1) surface area (L) × Width + length × Height + width × (high) × 2
s = 2 (AB + ah + BH)
(2) volume = length × wide × Height
V = ABH
5
triangle
s area
a bottom
H height
area = bottom × high ÷ 2
s=ah ÷ 2
triangle height = area
× two ÷ Bottom
triangle bottom = area
× two ÷ Height
6
parallelogram
s area
a bottom
H height
area = bottom × Height
s = ah
7
trapezoid
s area
a upper bottom
b lower bottom
H height
area = (upper bottom + lower bottom) × high ÷ 2
s=(a+b) ×< br />h ÷ 2
8
circle
s area
C perimeter
Π
d = diameter
R = radius
(1) perimeter = diameter × ∏=2 × ∏ × Radius
C = Πd = 2 Π r
(2) area = radius × radius × Π
9
cylinder
V: Volume
H: height
s; Bottom area
R: bottom radius
C: bottom perimeter
(1) side area = bottom perimeter × High
(2) surface area = side area + bottom area × 2
(3) volume = bottom area × (4) volume = lateral area ÷ two × Radius
10
cone
V: Volume
H: height
s; Bottom area
R: bottom radius
volume = bottom area × high ÷ three
The method of square calculation by area is as follows:
1. A rectangle is composed of length and width, and its area formula is s = a x B, where s is the area of the rectangle, a is the length of the rectangle, and B is the width of the rectangle
The square is composed of four sides, and the four sides are equal. Its area formula is s = A2, where s is the square area and a is the square side length The parallelogram is a closed figure composed of two groups of parallel line segments. Its area formula is s = a x h, where s is the area of parallelogram, a is the bottom length of parallelogram, and H is the height of parallelogram The area formula includes rectangle area formula, square area formula, sector area formula, circle area formula, bow area formula, diamond area formula, triangle area formula, trapezoid area formula and so on
extended data:
area can be measured by comparing a fixed size shape with a square. In the international system of units (SI), the standard unit area is square meters (square meters), the area is a square one meter long, and the shape of three square meters will be the same as three such squares
in mathematics, a unit square is defined as having region 1, and the area of any other shape or surface is a dimensionless real number. There are several well-known formulas for simple shapes, such as triangles, rectangles and circles. Using these formulas, you can find the area of any polygon by dividing it into triangles
for the shape with curved boundary, calculus is usually needed to calculate the area. In fact, the problem of determining the digital area of aircraft is the main motive for the development of calculus history. For example, the surface area of the solid shape of sphere, cone or cylinder is called the surface area. The formula of the surface area of simple shape was calculated by the ancient Greeks, but the calculation of the surface area of more complex shape usually requires multivariable calculus
that is the relationship between pressure and wind speed
force = pressure times area
