Icosahedron Calculator | Edge length, Surface Area, Volume, Exsphere, Midsphere, Insphere Radius

About This Tool:

Here you can find the edge length, surface area, volume, exsphere radius, midsphere radius and insphere radius of Icosahedron using this Icosahedron tool.

Icosahedron Formula:

Surface Area (A) = 5 * a² * √3
Volume (V) = 5 / 12 * a³ * ( 3 + √5 )
Exsphere Radius r_e) = a / 4 * √10 + 2 * √5
Midsphere Radius (r_m) = a / 4 * ( 1 + √5 )
Insphere Radius (r_i) = a / 12 * √3 * ( 3 + √5 )
Volume diagonal = 2 * r_e

Icosahedron Calculator

Edge Length (a) :
Volume (V) :
Surface Area (A) :
Exsphere Radius (re) :
Midsphere Radius (rm) :
Insphere Radius (ri) :
Round to   4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.
	* Enter any one known value

Thermal Expansion Calculator - Linear Expansion Calculation

About This Tool:

Thermal expansion calculator is a online tool to calculate the linear expansion.

What is Thermal Expansion?

Thermal expansion is the tendency of matter to change in volume in response to a change in temperature, through heat transfer. Temperature is defined as the average molecular kinetic energy of a substance.

Formula:

L=α *L₁(T₂−T₁)

Where,

L = Linear Expansion
L₁ = Initial Length
α = Coefficient of Linear Expansion of the Material
T₁ = Initial Temperature
T₂ = Final Temperature

Thermal Expansion Calculator

Initial Length:	m
Initial Temperature:	°C
Final Temperature:	°C
Coefficient of Linear Expansion of the Material:	10-6°C-1
Linear Expansion:	10-6m

Example:

A lead pipe is 80 m long at temperature 20^oC. If the hot water flows through it the temperature of pipe raises to 42^oC. Calculate the length of hot pipe if the linear expansion coefficient is 32 x 10-6K-1.

Step 1 :

Given:

Initial Length L₁ = 80 m,
Initial temperature T₁ = 20⁰C,
Final temperature T₂ = 42⁰C,
Linear expansion coefficient = 32 x 10^-6 K^-1

Step 2 :

The Thermal expansion is given by
L = α x L₁ (T₂ - T₁)
  = 32 x 10^-6K^-1 80 m (80 - 20)⁰ C
  = 56320 x 10^-6 m
  = 0.05632 m.

Answer  :

The thermal expansion L = 0.05632 m.

Helmholtz Free Energy Calculator - Thermodynamics Calculation Online

About This Tool:

Calculate thermodynamic potential using this free Helmholtz Free Energy calculator tool online.

What is Helmholtz Free Energy?

In thermodynamics, the Helmholtz free energy is a potential value that measures the “useful” work obtainable from a closed thermodynamic system at a constant temperature.

Formula:

A = U - T*S

where,

• U  is the internal energy of the system
• T  is the absolute temperature
• S  is the entropy
• A  is the Helmholtz free energy

Helmholtz Free Energy Calculator

Internal Energy (U) :	joules
Absolute Temperature (T) :	kelvins
Entropy (S) :	joules per kelvin
Helmholtz Free Energy (A) :	joules

Related Calculators:

• Gibbs Free Energy
• Enthalpy Change

Enthalpy Change Calculator - Thermodynamics Calculation Online

About This Tool:

Calculate Enthalpy Change of a thermodynamic system using this free Enthalpy Change online calculator tool.

What is Enthalpy Change?

In thermodynamics, enthalpy change states that the change in enthalpy observed to thermodynamic system with constituents of a undergoing a transformation or chemical reaction.

Formula:

Enthalpy change is defined by the following equation:

 ΔH = H_f - H_i 

Where,  

H_f - final enthalpy of the system
H_i - initial enthalpy of the system
ΔH - enthalpy change

Enthalpy Change Calculator

Hf :	joules
Hi :	joules
Enthalpy Change (Δ) :	[joules]

Related Calculator:

• Gibbs Free Energy

Gibbs Free Energy Calculator - Thermodynamics Calculator

About This Tool:

Calculate Gibbs Free Energy of a thermodynamic system using this free Gibbs Free Energy online calculator tool.

What is Gibbs Free Energy:

In thermodynamics, Gibbs free energy is a thermodynamic potential that predicts process whether it will occur spontaneously at constant temperature and pressure.

Formula:

The Gibbs free energy is defined as:

G(p,T) = H - TS

where:

    U - internal energy
    p - pressure
    V - volume
    T - temperature
    S - entropy
    H - enthalpy

Gibbs Free Energy Calculator

Enthalpy (H) :	joule per kelvin
Temperature (T) :	kelvin
Entropy (S):	joule per kelvin
Gibbs Free Energy :	joule per kelvin

Related Calculator:

• Enthalpy Change Calculator

Enthalpy Calculator - Thermodynamics Calculation Online

About This Tool:

Calculate total enthalpy energy of a thermodynamic system using this free Thermodynamics online calculator tool.

What is Enthalpy?

In thermodynamic system, Enthalpy is a total energy of a thermodynamic system at constant pressure. Enthalpy is usually expressed as letter "H".

Formula:

The formula to calculate enthalpy is given by:

H = U + PV

Where,

• U - internal energy of the system
• P - product of pressure
• V - volume of the system

Enthalpy Calculator

Reactant A	None O(3P) O(1D) O(1S) O2(3sigma) O2(1delta) O2(1sigma) O3 H OH HO2 H2O H2O2 N N2 NO NO2 NO3 N2O N2O4 N2O5 NH NH3 HNO HNO2 HNO3 S SO SO2 SO3 HS H2S CO CO2 CH3 CH4 HCO H2CO CH3O CH3O2 CH3OOH CH3NO2 CH3ONO CH3NO3 Cl ClO OClO ClO2 ClO3 HCl HOCl NOCl ClNO2 ClNO3 Cl2O CF4 CClF3 CF2Cl2 CFCl3 CCl4 CH3Cl CH2Cl2 C2Cl4 CH3CCl3
Reactant B	None O(3P) O(1D) O(1S) O2(3sigma) O2(1delta) O2(1sigma) O3 H OH HO2 H2O H2O2 N N2 NO NO2 NO3 N2O N2O4 N2O5 NH NH3 HNO HNO2 HNO3 S SO SO2 SO3 HS H2S CO CO2 CH3 CH4 HCO H2CO CH3O CH3O2 CH3OOH CH3NO2 CH3ONO CH3NO3 Cl ClO OClO ClO2 ClO3 HCl HOCl NOCl ClNO2 ClNO3 Cl2O CF4 CClF3 CF2Cl2 CFCl3 CCl4 CH3Cl CH2Cl2 C2Cl4 CH3CCl3
Reactant C	None O(3P) O(1D) O(1S) O2(3sigma) O2(1delta) O2(1sigma) O3 H OH HO2 H2O H2O2 N N2 NO NO2 NO3 N2O N2O4 N2O5 NH NH3 HNO HNO2 HNO3 S SO SO2 SO3 HS H2S CO CO2 CH3 CH4 HCO H2CO CH3O CH3O2 CH3OOH CH3NO2 CH3ONO CH3NO3 Cl ClO OClO ClO2 ClO3 HCl HOCl NOCl ClNO2 ClNO3 Cl2O CF4 CClF3 CF2Cl2 CFCl3 CCl4 CH3Cl CH2Cl2 C2Cl4 CH3CCl3
Product A	None O(3P) O(1D) O(1S) O2(3sigma) O2(1delta) O2(1sigma) O3 H OH HO2 H2O H2O2 N N2 NO NO2 NO3 N2O N2O4 N2O5 NH NH3 HNO HNO2 HNO3 S SO SO2 SO3 HS H2S CO CO2 CH3 CH4 HCO H2CO CH3O CH3O2 CH3OOH CH3NO2 CH3ONO CH3NO3 Cl ClO OClO ClO2 ClO3 HCl HOCl NOCl ClNO2 ClNO3 Cl2O CF4 CClF3 CF2Cl2 CFCl3 CCl4 CH3Cl CH2Cl2 C2Cl4 CH3CCl3
Product B	None O(3P) O(1D) O(1S) O2(3sigma) O2(1delta) O2(1sigma) O3 H OH HO2 H2O H2O2 N N2 NO NO2 NO3 N2O N2O4 N2O5 NH NH3 HNO HNO2 HNO3 S SO SO2 SO3 HS H2S CO CO2 CH3 CH4 HCO H2CO CH3O CH3O2 CH3OOH CH3NO2 CH3ONO CH3NO3 Cl ClO OClO ClO2 ClO3 HCl HOCl NOCl ClNO2 ClNO3 Cl2O CF4 CClF3 CF2Cl2 CFCl3 CCl4 CH3Cl CH2Cl2 C2Cl4 CH3CCl3
Product C	None O(3P) O(1D) O(1S) O2(3sigma) O2(1delta) O2(1sigma) O3 H OH HO2 H2O H2O2 N N2 NO NO2 NO3 N2O N2O4 N2O5 NH NH3 HNO HNO2 HNO3 S SO SO2 SO3 HS H2S CO CO2 CH3 CH4 HCO H2CO CH3O CH3O2 CH3OOH CH3NO2 CH3ONO CH3NO3 Cl ClO OClO ClO2 ClO3 HCl HOCl NOCl ClNO2 ClNO3 Cl2O CF4 CClF3 CF2Cl2 CFCl3 CCl4 CH3Cl CH2Cl2 C2Cl4 CH3CCl3
Enthalpy	kcal/mol

Brake Horsepower Calculator - Pump Calculation

About This Tool:

Here you can calculate Brake Horsepower online by using this free Motor Pump Horsepower calculator tool.

Formula:

Horsepower Brake = (Flow * Head ) / ( 3960 * (Decimal Pump Efficiency) )

Brake Horsepower Calculator

Flow :	gpm
Head :	ft
Decimal Pump Efficiency :
Horsepower, Brake	bhp

Related Calculators:

• Water Horsepower - Pump Calculation
• Motor Horsepower - Pump Calculation

Motor Horsepower Calculator - Pump Calculation

About This Tool:

Here you can calculate Motor Horsepower online by using this free Motor Pump Horsepower calculator tool.

Formula:

Horsepower, Motor = (Flow * Head ) / (3960 * (Decimal Pump Efficiency)* Decimal Motor Efficiency)

Motor Horsepower Calculator

Flow :	gpm
Head :	ft
Decimal Pump Efficiency :
Decimal Motor Efficiency :
Horsepower, Motor	mhp

Related Calculators:

• Water Horsepower Calculation
• Brake Horsepower Calculation

Water Horsepower Calculator - Pump Calculation

About This Tool:

Here you can calculate Water Horsepower online by using this free Water Pump Horsepower calculator tool.

Formula:

Horsepower, Water = (Flow * Head) / 3960

Water Horsepower Calculator

Flow :	gpm
Head :	ft
Horsepower, Water	whp

Related Calculators:

• Motor Horsepower Calculation
• Brake Horsepower Calculation

Hydraulic Loading Rate (HLR) Calculator

About This Tool:

Calculate Hydraulic Loading Rate (HLR) online for free using Hydraulic Loading Rate tool.

Hydraulic Loading Rate (HLR) Formula:

HLR = (Total Flow Applied / Area)

Hydraulic Loading Rate Calculator

Total Flow Applied :	(gpd)
Area :	(sq ft)
Hydraulic Loading Rate (HLR):	(gpd/sq ft)

Related Calculator:

• Hydraulic Retention Time

 

Trapezoid Calculator | Area, Perimeter, Median of a Trapezium Calculation

Trapezoid Calculator

About Trapezoid Calculator:

Trapezoid or trapezium calculator to is a online tool used to find the Area, Perimeter and Median of a trapezium.

What is Trapezoid?

A trapezoid is a 4-sided geometric figure with straight sides that has a pair of  parallel opposite sides.

Area of a Trapezoid Calculator

Formula:

Area of Trapezium =  ((a+b) / 2)  × h

Base Length A :	m
Base Length B :	m
Height :	m
Area of a Trapezoid :	m2

Example:

A Trapezium's two bases are 8m and 4m, and it is 3m high. Calculate is its Area?

Trapezium Area = (8m + 4m)/2 × 4m = 6m × 4 m = 24 m²

---

Perimeter of a Trapezoid Calculator

Formula:

Perimeter of a Trapezoid = a+b+c+d

Side Length A :	cm
Side Length B :	cm
Side Length C :	cm
Side Length D :	cm
Perimeter of a Trapezoid :	cm

Example:
A trapezoid has side length of 8 cm, 11 cm, 6 cm and 13 cm, what is its Perimeter?

Perimeter = 8 cm + 11 cm + 6 cm + 13 cm = 38 cm

---

Median of a Trapezoid Calculator

Formula:

Median m =  (a+b) / 2

Base Length A :
Base Length B :
Median of a Trapezoid :

Surface Loading Rate (SLR) Calculator | Surface Overflow Rate

About This Calculator:

Calculate SLR in waste water using this free surface loading rate or surface overflow rate or surface settling rate calculator tool.

What is Surface Loading Rate?

The SLR (surface loading rate) is the number of gallons of waste-water passing over 1 square foot of tank per day. This is factor is also referred to as the "surface overflow rate" or "surface settling rate".

Surface Loading Rate Formula:

SLR or Surface Overflow Rate gpd/sq ft = ( Flow, gpd / Area, sq ft )

Surface Loading Rate Calculator

Flow :	(gpd)
Area :	(sq ft)
Surface Loading Rate (SLR):	(gpd/sq ft)

Related Calculators:

• Backwash Water Calculator

• Filtration Rate

• Water Calcium Hardness

• Total Hardness as CaCO3

• Composite Sample Single Portion Calculator

Relative Standard Deviation (RSD) Calculator

About This Tool:

The online Standard Deviation Calculator tool is used to calculate the relative standard deviation (RSD) for set of numbers varying absolute magnitude.

Relative Standard Deviation:

In probability theory, the relative standard deviation (RSD) is the absolute value of the coefficient of variation. The RSD is calculated from the standard deviation, and it is often expressed as a percentage.

Formula:

The following is the relative standard deviation calculation formula,

Where,

s : standard deviation
x̄ : mean value of sample data set
x1, xN : the sample data set
N : size of the sample data set
RSD : relative standard deviation

Relative Standard Deviation Calculator

Enter the Numbers Separated by (,)
Total Numbers:
Mean (Average):
Sample Variance (s2):
Population Standard Deviation (σ):
Sample Standard Deviation (s):
Relative Standard Deviation (RSD):	%

Total Hardness as CaCO3 Calculator - Calcium and Water Hardness

Calculate total hardness as CaCO3 using calcium and water hardness calculation.

Formula:

Total Hardness, as CaCO3/L = (Titrant Volume * 1000) / Sample Volume

 Only when the titration factor is 1.00 of EDTA

Units:

Hardness, as mg CaCO3/L : mL
Sample Volume : mL
Titrant Volume : mL
EDTA: Ethylene-dia-minetetra-acetic

Total Hardness as CaCO₃ Calculator

Titrant Volume :	mL
Sample Volume :	mL
Total Hardness as CaCO3 / L	mg

calculate pump cycle time using this free cycle time calculator tool.

Formula:

Pump Cycle Time = Storage Volume / ( Pump Capacity - Wet Well Inflow)

Units:

Pump Cycle Time : min
Storage Volume : gal
Pump Capacity : gpm
Wet Well Inflow : gpm

Pump Cycle Time Calculator

Storage Volume :	gal
Pump Capacity :	gpm
Wet Well Inflow :	gpm
Cycle Time:	min

Composite Sample Single Portion Calculator - Wastewater Proportion Test

Calculate composite sample single portion using waste water proportion test.

Formula:

Composite Sample Single Portion = (Instantaneous Flow) (Total Sample Volume) /
                                                              (Number of Portions) (Average Flow)

Composite Sample Single Portion Calculator

Instantaneous Flow :	gpm
Total Sample Volume :	gal
Number of Portions :
Average Flow :	gpm
Composite Sample Single Portion:

Electromotive Force Calculator - Electrical Calculator

The electromotive force (e.m.f) or is the energy provided by a electrochemical cell or battery per coulomb of charge passing through it, Usually e.m.f is measured in unit of volts (V).

EMF Formula:

Electromotive Force, volts = (Current, amps) * (Resistance, ohms)

Electromotive Force Calculator

Enter Current :	(amps)
Enter Resistance :	(ohms)
Electromotive Force (E.M.F):	(volts)

Pythagorean Theorem Calculator | Pythagoras Calculation

Pythagorean Theorem Calculator

Geometry calculator for Pythagoras calculation. Calculate hypotenuse of right angle of triangle with length of a sides a and b of a triangle using Pythagorean Theorem Calculator.

Pythagorean Theorem Formula

Pythagoras Calculation:

Side a =
Side b =
Side c =

Mean Median Mode Calculator

Mean, Median, Mode Calculator

Free online statistics calculator for calculate Mean, Median, Mode, Average, Variance and Range for the given set of numbers.

Mean:
The mean is the arithmetic average of a data set, computed by adding up a collection of numbers and dividing by their count.

Median:
The median is the middle data value of a set of values when the data have been arranged into order. If there is an even number of data, then there is no single middle value; the median is then usually defined to be the mean of the two middle values.

Mode:
The mode is the most frequently occurring value in a data set. The mode is not necessarily unique, since the same maximum frequency may be attained at different values.

Mean, Median, Mode Calculator

Type the input numbers with comma separated - Example: 1,5,9,6,7,8 Results: Total Numbers: Ascending Order: Mean: Median: Mode: How to find the mean? Count the number N of data points in your data set. Sum up the total of your data set; add them all together. Average = Mean = Sum/N. How to find the median? For the data set 1,5,9,6,7,8,7 the median is 6. For the data set 1,5,2,6,7,8 the median is 5.5. : (5+6)/2 = 5.5. How to find the Mode? For the data set 1,5,2,6,7,8 the Mode is 6. 12 May 2013 Probability Calculator | Single Event and Multiple Event Probability Calculator Online probability calculator. Solve single and multiple event probability. Probability calculator to calculates single event and multiple event probabilities with definition, formula and examples. Probability Definition:- Probability is an estimation or a measure of how likely it is that something will happen or that a statement is true. Probabilities are given a value between 0 (0% chance or will not happen) and 1 (100% chance or will happen). Single Event Probability Calculator Number of possible outcomes: Number of events occured:   Probability of event that occurs P(A): Probability of event that does not occurs P(A'): Formula:- Probability of event A that occurs P(A) = n(A) / n(S) Probability of event A that does not occur P(A') = 1 - P(A) Where, n(A) = number of occurrence in Event A, n(S) = total number of possible outcomes. Note : (No. Possible Outcomes > No. Events Occured) Multiple Event Probability Calculator Number of possible outcomes: Number of event occurs in A: Number of event occurs in B:   P(A): P(A'): P(B): P(B'): P(A ∩ B): P(A ∪ B): P(A | B): Formula : Probability of event A that occurs P(A) = n(A) / n(S) Probability of event A that does not occur P(A') = 1 - P(A) Probability of event B that occurs P(B) = n(B) / n(S) Probability of event B that does not occur P(B') = 1 - P(B) Probability that both the events occur P(A ∩ B) = P(A) x P(B) Probability that either of event occurs P(A U B) = P(A) + P(B) - P(A ∩ B) Probability that either of event occurs P(A | B) = P(A ∩ B)/P(B) Where, If P(B) = 0 then P(A | B) is undefined. If two events are mutually exclusive P(A U B) = P(A) + P(B) If the events are not mutually exclusive then (A U B) = P(A) + P(B) - P(A n B) Note : (Possible outcomes > A and B event occurs) Did Probability Calculator Works Wrong? 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