# Triangular Notch

Discharge over a Triangular Notch

### Key Facts

**Gyroscopic Couple**: The rate of change of angular momentum () = (In the limit).

- = Moment of Inertia.
- = Angular velocity
- = Angular velocity of precession.

**Blaise Pascal**(1623-1662) was a French mathematician, physicist, inventor, writer and Catholic philosopher.

**Leonhard Euler**(1707-1783) was a pioneering Swiss mathematician and physicist.

## Overview

A triangular notch is also called a**V-notch**. Consider a triangular notch, in one side of the tank, over which water is flowing as shown in figure. Let,

- H = Height of the liquid above the apex of the notch
- θ = Angle of the notch
- C
_{d}= Coefficient of discharge

Example:

[metric]

##### Example - Discharge through a triangular notch

Problem

A right-angled

**V-notch**was used to measure the discharge of a centrifugal pump. If the depth of water at V-notch is 200mm, calculate the discharge over the notch in liters per minute. Assume coefficient of discharge as 0.62.Workings

Given,

Solution

Discharge over the notch = 1560 liters/s