Orbital Mechanics Archives - ToDo Calculator

Entropy , Isentropic , Power Required Equations

Pawan Indalkar — Fri, 15 Nov 2024 08:44:34 +0000

Entropy can be calculated using the formula ΔS=∫(dq/T), where ΔS is the change in entropy, dq is the infinitesimal amount of heat transferred, and T is the temperature at which the heat transfer occurs.

Isentropic relations are thermodynamic relationships that describe how a fluid behaves during an isentropic process. An isentropic process is a reversible adiabatic process where entropy remains constant.
Isentropic relations are important for analyzing the flow of compressible fluids, such as gases, in scenarios without heat transfer or friction. They help predict how pressure, temperature, and density change in a flowing fluid.
Here are some key points about isentropic relations:
Definition
The term “isentropic” comes from the Greek words isos meaning equal and entropia meaning entropy.
Idealization
An isentropic process is an idealization of an actual method. In real-world applications, total isolation of a system is not possible, so the isentropic process is an approximation.
Examples
Pumps, turbines, nozzles, gas compressors, and diffusers are examples of devices that can be analyzed using isentropic relations.
Mach number
The Mach number plays an important role in isentropic relations. If the Mach number of the flow is determined, all the other flow relations can be determined.The equation for power isP=W/tcap P equals cap W / t
𝑃=𝑊/𝑡
, where:
Pcap P
𝑃
:Power, measured in watts (W)
Wcap W
𝑊
:Work done
tt
𝑡
: Time taken Calculating the Amount of Power Required for an Object to Maintain …
2 Mar 2022 — Power:It is defined as the rate of work done by an object within a specific time interval. The equation for power is as …
Study.com
Power formula – Equations with Related Examples – BYJU’S
P = E t. P = W t. or, Where, The Energy Consumed to do work = E. Work done = W. Time taken= t. In any electrical circuit, the powe…
BYJU’S
Here are some other equations for power:
P=Fd/tcap P equals cap F d / t
𝑃=𝐹𝑑/𝑡
This equation can be used when the force and distance are in the same direction. Power in Physics | Definition, Equation & Examples – Study.com
What is the Equation for Power? * P = W / t. * W = F d. Assuming that the force and distance are in the same direction. Substitut…
Study.com
P=Fvcap P equals cap F v
𝑃=𝐹𝑣
This is known as the force-velocity equation. Power in Physics | Definition, Equation & Examples – Study.com
What is the Equation for Power? * P = W / t. * W = F d. Assuming that the force and distance are in the same direction. Substitut…
Study.com
P=V×Icap P equals cap V cross cap I
𝑃=𝑉×𝐼
This equation is used to calculate power in an electrical circuit in terms of voltage and current. Power formula – Equations with Related Examples – BYJU’S
P = E t. P = W t. or, Where, The Energy Consumed to do work = E. Work done = W. Time taken= t. In any electrical circuit, the powe…
BYJU’S
P=I2Rcap P equals cap I squared cap R
𝑃=𝐼2𝑅
This equation is used to calculate power in an electrical circuit in terms of current and resistance. Power formula – Equations with Related Examples – BYJU’S
P = E t. P = W t. or, Where, The Energy Consumed to do work = E. Work done = W. Time taken= t. In any electrical circuit, the powe…
BYJU’S
P=V2/Rcap P equals cap V squared / cap R
𝑃=𝑉2/𝑅
This equation is used to calculate power in an electrical circuit in terms of voltage and resistance. Power formula – Equations with Related Examples – BYJU’S
P = E t. P = W t. or, Where, The Energy Consumed to do work = E. Work done = W. Time taken= t. In any electrical circuit, the powe…
BYJU’S
Power is the rate at which energy is transferred or converted, or the rate at which work is done.In the metric system, the unit of power is the watt, which is equal to one joule per second.In the English system, the unit of power is the horsepower (hp), which is equal to 550 foot-pounds per second.

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speed of sound, mach number, isentropic relations

Pawan Indalkar — Wed, 13 Nov 2024 12:42:49 +0000

speed o sound formula,

[contact-form]

The speed of sound (a) is equal to the square root of the (g) times the gas constant (R) times the absolute temperature (T). The derivation of this equation is given on a separate page. Notice that the temperature must be specified on an absolute scale (Kelvin or Rankine).

Mach number is calculated by finding the ratio of speed of an object to the speed of sound in the surrounding medium. Mach number is unitless (dimensionless quantity). The formula for calculating Mach number is M = v/c , where M is Mach number, v is the velocity of object (in meters per second, feet per second, etc.)

Isentropic relations are thermodynamic relationships that describe how a fluid behaves during an isentropic process. An isentropic process is a reversible adiabatic process where entropy remains constant. This means that no heat is added to the flow, and no energy is lost due to friction or dissipative effects.
Isentropic relations are important for analyzing the flow of compressible fluids, like gases, especially when there is no heat transfer or friction. They can help predict how pressure, temperature, and density change in a flowing fluid.
Isentropic relations are used in many fields of science and engineering, including:
Fluid dynamics
Isentropic relations are used to model fluid compressibility and are an underlying assumption in aerodynamics.
Energy engineering
Isentropic relations are used to evaluate the isentropic work of gas compression and expansion systems. They are also fundamental to turbo-machinery design.

calculator developed by- Pawan Indalkar

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Propagation Delay Calculator

Akash Babu S L — Tue, 12 Mar 2024 14:11:42 +0000

Propagation Delay is the time it takes for a signal to travel from a transmitter to a receiver over a certain distance

Distance: The physical separation between the transmitter and receiver
Propagation Speed: The speed at which the signal travels, typically the speed of light in the medium

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Planetary Distance Calculator

Akash Babu S L — Tue, 12 Mar 2024 13:58:19 +0000

Planetary Distances is used to estimates the distances of the planets from the Sun

$D$ is the estimated distance from the Sun.
$a$ is a constant for each planet.
$n$ is the planet’s position in the order from the Sun.

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Satellite Signal Delay Calculator

Akash Babu S L — Mon, 11 Mar 2024 09:56:02 +0000

The Satellite Signal Delay, also known as signal propagation delay, is the time it takes for an electromagnetic signal to travel from a satellite to the receiving antenna on Earth

$Delay$ : Signal delay (seconds)
$D$ : Distance between the satellite and the receiving antenna on Earth (meters)
$c$ : Speed of light in a vacuum ()

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Orbital Energy of Satellite Calculator

Akash Babu S L — Mon, 11 Mar 2024 06:42:27 +0000

The orbital energy (E) of a satellite is the sum of its kinetic energy and potential energy in orbit.

$E$ is the orbital energy
$m$ is the mass of the satellite
$v$ is the orbital velocity of the satellite
$G$ is the gravitational constant ()
$M$ is the mass of the celestial body (e.g., Earth)
$r$ is the distance between the center of the celestial body and the satellite.

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Orbital Eccentricity Calculator

Akash Babu S L — Sat, 09 Mar 2024 17:08:50 +0000

The orbital eccentricity ( $e$ ) is a parameter that defines the shape of an elliptical orbit

$r_{a}$ is the distance from the center of the celestial body to the apogee
$r_{p}$ is the distance from the center of the celestial body to the perigee

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Doppler Shift Calculator

Akash Babu S L — Sat, 09 Mar 2024 09:11:46 +0000

The Doppler Shift represents the change in frequency of a wave in relation to an observer moving relative to the source of the wave.

$Doppler Shift$ is the change in frequency.
$f_{r}$ is the received frequency.
$_{ft}$ is the transmitted frequency.

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Solar Irradiance Calculator

Akash Babu S L — Sat, 09 Mar 2024 08:37:12 +0000

Solar Irradiance refers to the power per unit area received from the Sun in the form of electromagnetic radiation in the wavelength range of the solar spectrum

$I$ is the solar irradiance (W/m²)
$P$ is the solar power received (W)
$A$ is the area perpendicular to the Sun’s rays (m²).

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Antenna Gain Calculator

Akash Babu S L — Sat, 09 Mar 2024 08:27:18 +0000

The antenna gain equation calculates the gain of an antenna, representing its ability to focus or direct electromagnetic radiation in a particular direction

$Antenna Gain$ : Antenna gain is a measure of the ability of an antenna to direct or concentrate the transmitted or received signal in a particular direction
$Antenna Efficiency$ : Antenna efficiency represents the effectiveness of an antenna in converting input power into radiated power.
$Antenna Effective Area$ : The effective area of an antenna is the hypothetical area
$λ$ : it is the distance between two successive points in a wave with the same phase

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