How to Calculate and Solve for Solidification Time | Solidification of Metals

The image above represents solidification time.

To compute for solidification time, three essential parameters are needed and these parameters are Chvorinov’s Constant (C), Volume (V) and Surface Area (A).

The formula for calculating solidification time:

t = C(V / A)

Where:

t = Solidification Time
C = Chvorinov’s Constant
V = Volume
A = Surface Area

Let’s solve an example;
Find the solidification time when the chvorinov’s constant is 15, the volume is 12 and the surface area is 8.

This implies that;

C = Chvorinov’s Constant = 15
V = Volume = 12
A = Surface Area = 8

t = C(V / A)
t = 15(12 / 8)
t = 15(1.5)
t = 22.5

Therefore, the solidification time is 22.5s.

Calculating the Chvorinov’s Constant when the Solidification Time, the Volume and the Surface Area is Given.

C = tA / V

Where:

C = Chvorinov’s Constant
t = Solidification Time
V = Volume
A = Surface Area

Let’s solve an example;
Find the Chvorinov’s Constant when the solidification time is 20, the volume is 12 and the surface area is 8.

This implies that;

t = Solidification Time = 20
V = Volume = 12
A = Surface Area = 8

C = tA / V
C = (20)(8) / 12
C = 160 / 12
C = 13.3

Therefore, the chvorinov’s constant is 13.3

Continue reading How to Calculate and Solve for Solidification Time | Solidification of Metals

How to Calculate and Solve for Volume of Water Drained From an aquifer | Aquifer Characteristics

The image above represents volume of water drained from an aquifer.

To compute for volume of water drained from an aquifer, three essential parameters are needed and these parameters are Storativity (S), Surface Area (A) and the Average Decline in Head (Δh).

The formula for calculating volume of water drained from an aquifer:

Vw = SAΔh

Where:

Vw = Volume of Water Drained from an Aquifer
S = Storativity
A = Surface Area
Δh = Average Decline in Head

Let’s solve an example;
Find the volume of water drained from an aquifer when the storativity is 24, the surface area is 38, the average decline in head is 40.

This implies that;

S = Storativity = 24
A = Surface Area = 38
Δh = Average Decline in Head = 40

Vw = SAΔh
Vw = 24(38)(40)
Vw = 36480

Therefore, the volume of water drained from an aquifer is 36480 ft³.

Calculating the Storativity when the Volume of Water Drained From an Aquifer, the Surface Area and the Average Decline in Head is Given.

S  = Vw / AΔh

Where;

S = Storativity
Vw = Volume of Water Drained from an Aquifer
A = Surface Area
Δh = Average Decline in Head

Let’s solve an example;
Find the storativity when the volume of water drained from an aquifer is 60, the surface area is 18 and the average decline in head is 4.

This implies that;

Vw = Volume of Water Drained from an Aquifer = 60
A = Surface Area = 18
Δh = Average Decline in Head = 4

S  = Vw / AΔh
S  = 60 / (18)(4)
S  = 60 / 72
S = 0.83

Therefore, the storativity is 0.83 ft.

Continue reading How to Calculate and Solve for Volume of Water Drained From an aquifer | Aquifer Characteristics

How to Calculate and Solve for the Radius, Height and Surface Area of a Spherical Segment | The Calculator Encyclopedia

The image above is a spherical segment.

To compute the surface area of a spherical segment requires two essential parameters which are the radius of the sphere (R) and the height (h).

The formula for calculating the surface area of the spherical segment:

A = 2πRh

Where;
A = Surface area of the spherical segment
R = Radius of the sphere
h = Height of the spherical segment

Let’s solve an example;
Find the surface area of a spherical segment when the radius of the sphere is 12 cm and the height is 16 cm.

This implies that;
R = Radius of the sphere = 12 cm
h = Height of the spherical segment = 16 cm

A = 2πRh
A = 2π (12 x 16)
A = 2π (192)
A = 6.28 (192)
A = 1206.37

Therefore, the surface area of the spherical segment is 1206.37 cm2.

Calculating the Radius of the Sphere using the Surface Area of the Spherical Segment and the Height.

R = A / 2πh

Where;
R = Radius of the sphere
A = Surface area of the spherical segment
h = Height of the spherical segment

Let’s solve an example;
Find the radius of a sphere with a surface area of 300 cm2 and a height of 12 cm.

This implies that;
A = Surface area of the spherical segment = 300 cm2
h = Height of the spherical segment = 12 cm

R = A / 2πh
R = 300 / 2 x π x 12
R = 300 / 75.41
R = 3.978

Therefore, the radius of the sphere is 3.978 cm.

Continue reading How to Calculate and Solve for the Radius, Height and Surface Area of a Spherical Segment | The Calculator Encyclopedia