Give FIVE (5) real life examples of functions

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Give FIVE (5) real life examples of functions

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Thông Đạt 4 years 2021-08-09T14:20:59+00:00 1 Answers 6 views 0

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  1. binhan
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    2021-08-09T14:22:46+00:00
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    Answer:

    Physics – The position of a particle experimenting an uniform accelerated motion. (Quadratic function)

    Chemistry – The velocity of the chemical reaction as a function of temperature. (Exponential function)

    Physics – Convective heat transfer of an element with its surroundings. (Linear function)

    Physics – Time conversion from seconds to minutes. (Linear function)

    Physics – Radiative heat transfer from an element. (Quartic function)

    Step-by-step explanation:

    There are many examples of applications of function in real life:

    Physics – The position of a particle experimenting an uniform accelerated motion. (Quadratic function)

    y = y_{o} + v_{o}\cdot t + \frac{1}{2}\cdot a \cdot t^{2} (1)

    Where:

    y – Current position.

    y_{o} – Initial position.

    v_{o} – Initial velocity.

    a – Acceleration.

    t – Time.

    Chemistry – The velocity of the chemical reaction as a function of temperature. (Exponential function)

    k = A\cdot e^{-\frac{E_{o}}{R\cdot T} } (2)

    Where:

    A – Frequency factor.

    E_{o} – Activation energy.

    R – Ideal gas constant.

    T – Temperature.

    k – Kinetic constant.

    Physics – Convective heat transfer of an element with its surroundings. (Linear function)

    \dot Q = h\cdot A_{s} \cdot (T-T_{\infty}) (3)

    Where:

    h – Convective constant.

    A_{s} – Surface area.

    \dot Q – Heat transfer rate.

    T_{\infty} – Temperature of the surroundings.

    T – Surface temperature of the element.

    Physics – Time conversion from seconds to minutes. (Linear function)

    t' = \frac{1}{60}\cdot t (4)

    Where:

    t – Time, in seconds.

    t' – Time, in minutes.

    Physics – Radiative heat transfer from an element. (Quartic function)

    \dot Q = \epsilon \cdot \sigma \cdot A_{s}\cdot T^{4} (5)

    Where:

    \dot Q – Heat transfer rate.

    T – Surface temperature of the element.

    A_{s} – Surface area.

    \epsilon – Emissivity.

    \sigma – Stefan-Boltzmann constant.

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