The image above represents discharge | Chezy’s Equation.

To compute for discharge, four essential parameters are needed and these parameters are **Area (A), Chezy’s Constant (C), Hydraulic Radius (R)** and** Slope (S).**

The formula for calculating discharge:

Q = AC√(RS)

Where;

Q = Discharge

A = Area

C = Chezy’s Constant

R = Hydraulic Radius

S = Slope

Let’s solve an example;

Find the discharge when the area is 25, the chezy’s constant is 16, the hydraulic radius is 9 and the slope is 21.

This implies that;

A = Area = 25

C = Chezy’s Constant = 16

R = Hydraulic Radius = 9

S = Slope = 21

Q = AC√(RS)

Q = (25)(16)√((9)(21))

Q = (25)(16)√(189)

Q = (25)(16)(13.74)

Q = 5499.09

Therefore, the **discharge** according to **Chezy’s equation** is **5499.09**.

**Calculating the Area when the Discharge, the Chezy’s Constant, the Hydraulic Radius and the Slope is Given.**

A = ^{Q} / _{C √RS}

Where;

A = Area

Q = Discharge

C = Chezy’s Constant

R = Hydraulic Radius

S = Slope

Let’s solve an example;

Find the area when the discharge is 40, the chezy’s constant is 10, the hydraulic radius is 5 and the slope is 9.

This implies that;

Q = Discharge = 40

C = Chezy’s Constant = 10

R = Hydraulic Radius = 5

S = Slope = 9

A = ^{Q} / _{C √RS}

A = ^{40} / _{10 √(5)(9)}

A = ^{40} / _{10 √45}

A = ^{40} / _{10 (6.708)}

A = ^{40} / _{67.08}

A = 0.596

Therefore, the **area **is **0.596.**

**Calculating the Chezy’s Constant when the Discharge, the Area, the Hydraulic Radius and the Slope is Given.**

C = ^{Q} / _{A √RS}

Where;

C = Chezy’s Constant

Q = Discharge

A = Area

R = Hydraulic Radius

S = Slope

Let’s solve an example;

Given that the discharge is 38, the area is 24, the hydraulic radius is 12 and the slope is 7. Find the Chezy’s Constant?

This implies that;

Q = Discharge = 38

A = Area = 24

R = Hydraulic Radius = 12

S = Slope = 7

C = ^{Q} / _{A √RS}

C = ^{38} / _{24 √(12)(7)}

C = ^{38} / _{24 √84}

C = ^{38} / _{24 (9.16)}

C = ^{38} / _{219.84}

C = 0.172

Therefore, the **chezy’s constant **is **0.172.**

**Calculating the Hydraulic Radius when the Discharge, the Area, the Chezy’s Constant and the Slope is Given.**

R = ^{(Q / AC)2} / _{S}

Where;

R = Hydraulic Radius

C = Chezy’s Constant

Q = Discharge

A = Area

S = Slope

Let’s solve an example;

Find the hydraulic radius when the chezy’s constant is 5, the discharge is 50, the area is 7 and the slope is 2.

This implies that;

C = Chezy’s Constant = 5

Q = Discharge = 50

A = Area = 7

S = Slope = 2

R = ^{(Q / AC)2} / _{S}

R = ^{(50 / 7 x 5)2} / _{2}

R = ^{(50 / 35)2} / _{2}

R = ^{(1.428)2} / _{2}

R = ^{2.04} / _{2}

R = 1.02

Therefore, the **hydraulic radius **is **1.02.**

**Calculating the Slope when the Discharge, the Area, the Chezy’s Constant and the Hydraulic Radius is Given.**

S = ^{(Q / AC)2} / _{R}

Where;

S = Slope

Q = Discharge

A = Area

C = Chezy’s Constant

R = Hydraulic Radius

Let’s solve an example;

Find the slope when the discharge is 80, the area is 10, the chezy’s constant is 4 and the hydraulic radius is 8.

This implies that;

Q = Discharge = 80

A = Area = 10

C = Chezy’s Constant = 4

R = Hydraulic Radius = 8

S = ^{(Q / AC)2} / _{R}

S = ^{(80 / 10 x 4)2} / _{8}

S = ^{(80 / 40)2} / _{8}

S = ^{(2)2} / _{8}

S = ^{4} / _{8}

S = 0.5

Therefore, the **slope **is **0.5.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the discharge | chezy’s equation.

To get the answer and workings of the discharge | chezy’s equation using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

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Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Agricultural **under **Engineering****.**

Now, Click on **Water Budget **under **Agricultural**

Now, Click on **Discharge| Chezy’s Equation**** **under **Water Budget**

The screenshot below displays the page or activity to enter your values, to get the answer for the discharge | chezy’s equation according to the respective parameters which are the **Area (A), Chezy’s Constant (C), Hydraulic Radius (R)** and** Slope (S).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Area (A)** is **25**,** Chezy’s Constant (C)** is **16**,** Hydraulic Radius (R)** is **9 **and** Slope (S)** is **21**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the discharge | chezy’s equation and presents the formula, workings and steps too.