Daylight Hours Solution

STEP 0: Pre-Calculation Summary
Formula Used
Daylight Hours = 3600*acos(-tan(Latitude Angle)*tan(Declination Angle))
td = 3600*acos(-tan(Φ)*tan(δ))
This formula uses 3 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)
Variables Used
Daylight Hours - (Measured in Second) - Daylight Hours is the duration of time when the sun is above the horizon and daylight is available at a particular location on Earth.
Latitude Angle - (Measured in Radian) - Latitude Angle is the angle between a line to a point on the surface of the Earth and the equatorial plane.
Declination Angle - (Measured in Radian) - Declination Angle is the angle between the magnetic field lines and the horizontal plane at a particular location on the Earth's surface.
STEP 1: Convert Input(s) to Base Unit
Latitude Angle: 55 Degree --> 0.959931088596701 Radian (Check conversion ​here)
Declination Angle: 23.09638 Degree --> 0.403107876291692 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
td = 3600*acos(-tan(Φ)*tan(δ)) --> 3600*acos(-tan(0.959931088596701)*tan(0.403107876291692))
Evaluating ... ...
td = 8012.37136100474
STEP 3: Convert Result to Output's Unit
8012.37136100474 Second --> No Conversion Required
FINAL ANSWER
8012.37136100474 8012.371 Second <-- Daylight Hours
(Calculation completed in 00.013 seconds)

Credits

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Created by ADITYA RAWAT
DIT UNIVERSITY (DITU), Dehradun
ADITYA RAWAT has created this Calculator and 50+ more calculators!
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Verified by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
Saurabh Patil has verified this Calculator and 25+ more calculators!

Basics Calculators

Hour Angle at Sunrise and Sunset
​ LaTeX ​ Go Hour angle = acos(-tan(Latitude Angle-Tilt Angle)*tan(Declination Angle))
Tilt factor for reflected radiation
​ LaTeX ​ Go Tilt factor for reflected radiation = (Reflectivity*(1-cos(Tilt Angle)))/2
Tilt factor for diffused radiation
​ LaTeX ​ Go Tilt factor for diffused radiation = (1+cos(Tilt Angle))/2
Hour angle
​ LaTeX ​ Go Hour angle = (Solar Time/3600-12)*15*0.0175

Daylight Hours Formula

​LaTeX ​Go
Daylight Hours = 3600*acos(-tan(Latitude Angle)*tan(Declination Angle))
td = 3600*acos(-tan(Φ)*tan(δ))

What is Duration of Sunshine Hour?


The duration of sunshine hours refers to the total time during a day when the sun is above the horizon and its rays reach the Earth's surface. It varies based on geographic location, time of year, and weather conditions. Longer sunshine durations occur during summer months, while shorter durations are typical in winter. Sunshine hours are important for activities like agriculture, solar energy generation, and determining daylight availability for various tasks.

How to Calculate Daylight Hours?

Daylight Hours calculator uses Daylight Hours = 3600*acos(-tan(Latitude Angle)*tan(Declination Angle)) to calculate the Daylight Hours, The Daylight Hours formula is defined as the period of time during each Day that commences at sunrise on such Day and ends at the time of sunset on such Day. Daylight Hours is denoted by td symbol.

How to calculate Daylight Hours using this online calculator? To use this online calculator for Daylight Hours, enter Latitude Angle (Φ) & Declination Angle (δ) and hit the calculate button. Here is how the Daylight Hours calculation can be explained with given input values -> 8012.371 = 3600*acos(-tan(0.959931088596701)*tan(0.403107876291692)).

FAQ

What is Daylight Hours?
The Daylight Hours formula is defined as the period of time during each Day that commences at sunrise on such Day and ends at the time of sunset on such Day and is represented as td = 3600*acos(-tan(Φ)*tan(δ)) or Daylight Hours = 3600*acos(-tan(Latitude Angle)*tan(Declination Angle)). Latitude Angle is the angle between a line to a point on the surface of the Earth and the equatorial plane & Declination Angle is the angle between the magnetic field lines and the horizontal plane at a particular location on the Earth's surface.
How to calculate Daylight Hours?
The Daylight Hours formula is defined as the period of time during each Day that commences at sunrise on such Day and ends at the time of sunset on such Day is calculated using Daylight Hours = 3600*acos(-tan(Latitude Angle)*tan(Declination Angle)). To calculate Daylight Hours, you need Latitude Angle (Φ) & Declination Angle (δ). With our tool, you need to enter the respective value for Latitude Angle & Declination Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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