Category: Mathematical Example

# Compound Interest Mathematical Problem & Solution

Compound Interest Mathematical Problem Question: A Person has invested Rs. 10000 in a bank at an interest of 10% per annum. How much amount will receive After 2 years if the compounding is done? a) Annually.b) Semi-Annually.c)Quarterly.d)Monthly.e)Daily Answer: FVn = PV ( 1+ r/m )mn Where, FVn = Future value after n years n = … Continue reading Compound Interest Mathematical Problem & Solution

# How to Determine the Frequency of Irrigation – Problem & Solution

How to Determine the Frequency of Irrigation Mathematical Problem The following data are given to determine the frequency of irrigation Field capacity of soil = 45 % Permanent wilting point = 19 % Density of soil = 1.5 g/cm3 Depth of root zone = 65 cm Daily consumptive use of water = 18 mm Solution: … Continue reading How to Determine the Frequency of Irrigation – Problem & Solution

# Find the Intensity of Rainfall When the duration of Rainfall is Given

Find the intensity of Rainfall When the duration of Rainfall is Given First of all, we need to know the formula used to determine rainfall intensity. There are three types of empirical formulas - a) For storm duration of 5 to 20 minutes b) For storm duration of 20 to 100 minutes c) Where rainfall … Continue reading Find the Intensity of Rainfall When the duration of Rainfall is Given

# How to Determine Runoff by using Rational Method – Mathematical Problem & Solution

How to Determine Runoff by using Rational Method First of all, we need to understand which formula or expression is used for the determination of runoff. In the rational method, the runoff is given by the following expression: Where, Q = Runoff in cumecK = Coefficient of runoffi = Intensity of rainfall in cm/hrA = … Continue reading How to Determine Runoff by using Rational Method – Mathematical Problem & Solution

# How to Determine Runoff Coefficient – Mathematical Problem & Solution

How to Determine Runoff Coefficient When the nature of the surface of different areas and the impermeability factors of the areas are known or given, then the value of the runoff coefficient(K) may be determined by the following expression: Where,  a1, a2 = Area of different surfaces.p1, p2 = Impermeability factors of those surfaces.A = Total surface … Continue reading How to Determine Runoff Coefficient – Mathematical Problem & Solution # Find the Correction for Curvature & Refraction for a Given Distance

Find the Correction for Curvature Mathematic Problem Find the correction for curvature for a distance of 900 m and 2.5 km. Solution 1. When the distance is 900 m 0r 0.9 km Correction for curvature (in meters) = 0.0785 D2 After Putting the value of D in the above equation [D is in Km] Correction … Continue reading Find the Correction for Curvature & Refraction for a Given Distance # Calculate the Horizontal Length After Slope Correction of Tape

Calculate the Horizontal Length After Slope Correction of the Tape Mathematical Problem: The downhill end of the 30m tape is held 70cm too low. What is the horizontal length? Solution: Given, l = Length of the tape = 30 m.h = 70 cm = 0.70 m Correction for slope = = = 0.00817 m. Hence, … Continue reading Calculate the Horizontal Length After Slope Correction of Tape