LCM of three numbers

Daylight Hours Calculator

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✖The Latitude Angle is the angular measurement that indicates a location's distance north or south of the equator, influencing solar energy exposure and system performance.ⓘ Latitude Angle [Φ]			+10% -10%
✖The Declination Angle is the angle between the rays of the sun and the plane of the Earth's equator, affecting solar energy collection throughout the year.ⓘ Declination Angle [δ]			+10% -10%

✖The Daylight Hours is the duration of time each day when natural light is available, influencing solar energy production and various ecological processes.ⓘ Daylight Hours [t_d]

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Daylight Hours Solution

STEP 0: Pre-Calculation Summary

Formula Used

Daylight Hours = 3600*acos(-tan(Latitude Angle)*tan(Declination Angle))
t_d = 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) - The Daylight Hours is the duration of time each day when natural light is available, influencing solar energy production and various ecological processes.
Latitude Angle - (Measured in Radian) - The Latitude Angle is the angular measurement that indicates a location's distance north or south of the equator, influencing solar energy exposure and system performance.
Declination Angle - (Measured in Radian) - The Declination Angle is the angle between the rays of the sun and the plane of the Earth's equator, affecting solar energy collection throughout the year.

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

t_d = 3600*acos(-tan(Φ)*tan(δ)) --> 3600*acos(-tan(0.959931088596701)*tan(0.403107876291692))

Evaluating ... ...

t_d = 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 00.004 seconds)

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Credits

Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

ADITYA RAWAT has created this Calculator and 50+ more calculators!

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))
t_d = 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 t_d 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 t_d = 3600*acos(-tan(Φ)*tan(δ)) or Daylight Hours = 3600*acos(-tan(Latitude Angle)*tan(Declination Angle)). The Latitude Angle is the angular measurement that indicates a location's distance north or south of the equator, influencing solar energy exposure and system performance & The Declination Angle is the angle between the rays of the sun and the plane of the Earth's equator, affecting solar energy collection throughout the year.

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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