SI_Derived

mph to km/h

m2 to ft2 to acres

Conclusion

How to Mitigate Attacks

m3 to yds3

W/m2 to hp/in2

Unit Conversion Process

hp to Watts

(g x in)/sec2 to N

N/m2 to psi

rpm to deg/sec

Social Engineering Attacks On the Rise

Time (s)

Luminous Intensity (cd)

Mass (kg)

Amount of Substance (mol)

SI Derived Units

Thermo-dynamic Teperature (K)

There are 22 SI derived units that have special names and symbols. SI derived units are measurement units that are derived from the base units. You create a derived unit by combining the base units using mathematical operations such as multiplication, division, or exponentiation. Derived units measure various physical quantities that are derived from fundamental properties or relationships.

Length (m)

Electric Current (A)

Click on each derived unit to see how it relates to the SI base units.

Energy

Pressure

Catalytic Activity

Power

Absorbed Dose

Magnetic Flux

Activity

Dose Equivalent

Force

Inductance

Frequency

Resistance

Magnetic Flux Density

Luminous Flux

Capacitance

Electric Charge

Solid Angle

Celsius Temperature

Conductance

Potential

Plane Angle

Illuminance

Force is any acceleration that causes the change in state of rest or motion of an object. The SI unit is the Newton (N). One newton is the force needed to accelerate one kilogram of mass at the rate of one meter per second squared in the direction of the applied force. 1N = 1 kg x m

Imagine that you are trying to move a heavy box across the floor. The force you apply to puch the box represents a Newton. The greater the force, the easier it is to move the box.

Amt of Substance (mol)

Imagine that you are standing on a balloon filled with air. The pressure you exert on the surface of the balloon represents the Pascal. The greater the pressure, the more the balloon is compressed.

Length (m)

Mass (kg)

Time (s)

m x s2

Thermo-dynamic Temp (K)

Pressure is the force applied perpendicular to the surface of an object per unit area over which the force is distributed. The SI unit is the Pascal (Pa). The Pascal quantifies the force applied per unit area on a surface, and it represents one Newton of force applied per square meter of area. Pa = 1 kg

Absorbed dose quantifies the amount of energy or radiation absorbed per unit mass of a substance or tissue. Absorbed dose is used in the calculation of dose uptake in living tissue in both radiation protection (reducing harmful effects), and radiology (beneficial effects used in cancer treatment). The SI unit is the gray (Gy). The gray is one Joule of energy absorbed per kilogram of matter. Gy = m2 s2

Imagine you are sitting outside on a sunny day getting a tan. The amount of sunlight absorbed by your skin represents the gray. The more sunlight you receive, the higher the absorbed dose

Dose equivalent mesures the potential biological harm caused by different types of radiation. It takes into account the absorbed dose and the type of radiation and its potential for biological damage. The SI unit is the sievert (Sv). Sv = m2 s2

Imagine that you are listening to different genres of music using headphones. The different genres of music represent various types of radiation such as alpha or beta particles or gamma rays.The impact on your hearing represents the dos equivalent.

A unit of energy is the same as a unit of work, the joule (J). J = kg x m2

Imagine that you have an object placed on a shelf. It falls to the floor. The energy associated with the object’s motion as it falls represents the joule. The higher the object’s fall, the more energy it possesses.

Imagine that you have a light bulb that emits a certain amount of light. The brightness or intensity of the light bulb represents the power. The brighter the light, the higher the power.

Power is the amount of energy transferred per unit of time. The unit of power is the watt (W). W = kg x m2

Imagine that you have a clock that ticks once per secoond. The number of ticks per second represents the activity. The higher the number of ticks, the greater the activity of the clock.

Activity (of a radionuclide) is the measure of radioactive material in which one nucleus decays per second. The SI unit is the becquerel (Bq), the unit of radioactivity. a = s-1 x kg-1

5 bounces in 1 second

Imagine you have a ball bouncing up and down. The frequency of the ball’s bounce represents the Hertz. The higher the frequency, the more bounces the ball makes in a given time. The number of times the ball bounces in 1 second represents the event or cycle that repeats per second.

Frequency is the number of ocurrences of a repeating events per unit of time. The SI unit is hertz (Hz). Hz = s-1

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Catalytic activity refers to the ability of a substance, called a catalyst, to increase the rate of a chemical reaction without being consumed in the process. The SI unit is the katal (kat) kat = mol s

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Imagine you are hosting a party for guests from different disciplines. The guests are having trouble starting conversations on their own, so you introduce a facilitator to help find common ground . The facilitator lowers the social barriers and makes it easier for guests to interact and exchange business cards like a catalyst facilitates the reaction by lowering the activation energy, which is the energy barrier that reactant molecules need to overcome to undergo a reaction.

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Facilitator

Imagine a bar magnet with its field lines spreading out in a particular pattern. If you place a surface perpendicular to these field lines, the number of field lines passing through that surface represents the magnetic flux (4 lines are passing through the surface). A larger surface or an increased magnetic field will result in a larger magnetic flux.

Magnetic flux describes the quantity of magnetic field passing through a given surface. It helps us understand the strength and distribution of magnetic fields ranging from electrical devices to the Earth’s magnetic field. The SI uit is the weber (Wb). Wb = kg x m2 s2 x A

Magnetic Field

Imagine that you have a spinning top that has a coil of wire wrapped around it. As the top spins, it creates a magnetic field around it. If you introduce a magnetic field from an external source, the external magnetic field changes, and it induces an electric current in the wire coil.

Inductance describes the ability of a conductor to store and release energy in the form of a magnetic field. It enables the conductor to generate an induced voltage when there is a change in the current flowing through it. The SI unit is the henry (H). H = kg x m2 s2 x A2

Potential quantifies the amount of energy per unit of charge required to move a charge from one point to another. The SI uit is the volt (V). V = kg x m2 s3 x A

Imagine that you are standing at the bottom of a hill, and you have a ball that you want to roll to the top.The hill represents the potential, the amount of energy available.The ball represents a charge or electrical entity that can experience a potential difference. Rolling the ball to the top of the hill represents the work done against the potential difference or voltage.

Magnetic flux density represents the strength or intensity of a magnetic field. The SI uit is the tesla (T). T = kg s2 x A

Imagine that you have a strong magnet, and you place a piece of iron near it. The intensity or strength of the magnetic field around the magnet and the iron represnets the magnetic flux density. The stronger the magnetic field, the higher the magnetic flux density.

Imagine that you have a collection of marbles, and you want to move them from one location to another. The number of marbles you transfer represents the electric charge. The more marbles you move, the higher the electric charge.

Electric charge measures the quanitity of electricity carried by particles such as electrons or protons . The SI uit is the coulomb (C). C = s x A

Conductance measures the ability of a material or component to allow the flow of electric current. The SI uit is the siemens (S). S = s3 x A2 m2 x kg

Imagine that you have a pipe through which water flows which represents the flow of electric current in a circuit. The ease with which water can flow through the pipe represents the conductance. The wider and smoother the pipe, the higher the conductance.

high resistance

Imagine that you have two pipes, one narrow and the other wide. The narrow pipe represents high resistance, while the wide pipe represents low resistance. When you try to flow water through the narrow pipe, it encounters more obstacles and restricts the water flow.

Resistance is the measure of how much a material or component impedes the flow of electric current in an electrical circuit. The SI unit is ohms (Ω). Ω = kg x m2 s2 x A3

Capacitance describes the ability of a component, called a capacitor, to store electrical energy. The SI unit is the farad (F). F = A2 x s4 kg x m2

Imagine a capacitor as a container for electrons. It consists of two metal plates, with a gap between them. These plates attract and hold electrons. When you apply voltage across the plates, electrons gather on one plate (creating a negative charge), while the other plate becomes positive (due to a deficiency of electrons.

100°C

0°C

Celsius measures temperature using the Celsius scale (water freezes at 0°C and boils at 100°C). The SI unit is the degree Celsius (°C). °C = K

Imagine you have a lightbulb that emits a certain amount of light. The brightness of the light as it illuminates a surface represents the illuminance. The brighter the light, the higher the illuminance.

Illuminance is the amount of light falling onto a surface. The SI unit is the lux (lx). lx = cd m2

Illuminance

Imagine you have a faucet that is pouring water into a bucket. The amount of water collected in the bucket represents the luminous flux. The more water that fills the bucket, the higher the luminous flux.

Luminous flux represents the total amount of visible light emitted by a source. The SI unit is the lumen (lm). The lumen takes into account the sensitivity of the human eye to different wavelengths of light. lm = cd

A solid angle quantifies the amount of space covered by a three-dimensional object or a region in space. The SI unit is the steradian (sr). sr = m2 m2

Imagine that you have a flashlight that emits a cone-shaped beam of light (this represents the solid angle). The size of the beam at a given distance represents the solid angle it covers.

A plane angle quantifies the amount of rotation or angular separation between two lines or planes. The SI unit is the radian (rad). rad = m m

Imagine that you have a pizza cut into several slices. The angle between two adjacent slices represents a plane angle.The pizza represents the two- dimensional plane.The slices of pizza represent the lines or planes forming the angle.The angle between two slices represents the plane angle.

This material was developed with funding from the National Science Foundation

This work is licensed with a Creative Commons Attribution 4.0 International LicenseEndFragment

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