A point-like object that undergoes circular motion changes its angular position from initial Θi to final Θf, relative to a fixed axis, specified in a coordinate system with an origin that coincides the centre of the circular path of object. The change in its angular position is called angular displacement ΔΘ = Θf - Θi. Also, a rigid body that rotates about a specified rotation axis, changing its angular position from initial Θi to final Θf, undergoes an angular displacement ΔΘ.
The average angular velocity, ωav, is the ratio of the angular displacement and the time interval Δt=tf-ti, in which that displacement occurs.
Θf and Θi are the initial and final angular position, respectively.
The instantaneous angular velocity ω is the limit of the average angular velocity, as Δt is made to approach zero.
ωav and ω are positive for the counterclockwise rotation (in direction of increasing Θ) and negative for the clockwise rotation (in direction of decreasing Θ).
SI unit for angular velocity is s-1.The measure for the angle Θ is radian. The relationship between radians and degrees is:
For example, the angular velocity of the minute hand of a clock is:
If the angular velocity of a body changes from an initial value ωi to a final value ωf, average angular acceleration, α, can be defined for the time interval Δt = tf - ti:
The instantaneous angular acceleration, α, is the limit of the average angular acceleration, as Δt is made to approach zero:
SI unit for angular acceleration is s-2.
Average rate of reaction is calculated in a way that a total change of reactants and products concentration is divided with time which is needed for reaction to end.
If a point-like object moves so that its position vector changes from being ri to rf, than the displacement Δr of object is
If a point-like object undergoes a displacement, Δr, in time Δt, its average velocity, v is defined as
The instantaneous velocity, v, is obtained from the average velocity by shrinking the time interval Δt towards zero. The average velocity approaches a limiting value, which is the velocity of a given instant:
Velocity is a vector quantity. If we plot the path of a moving particle as a curve in a coordinate system, the instantaneous velocity is always tangent to that curve.
SI unit for velocity is m s-1.
Rate equation is an equation that describes the dependence of reaction rate on concentrations of reacting species. It always has the form
where a and b are usually integral exponents.
Reaction speed curve is a graphic presentation of the reactant quantity change in dependence on time value.
Angular momentum is a physical quantity defined for rotating motion (in analogy to momentum that is defined for linear motion). If a body rotates around a specified axis, its angular momentum equals
Where I is the rotational inertia concerning that axis and ω is the angular velocity of the body.
Angular momentum can also be defined for a point-like body concerning a specified origin (in that case, it is not necessary that the point-like body undergoes circular motion). Rotational inertia of the point-like body, concerning that origin equals:
Where m is the mass of the body and r is its distance from the origin.
If a point-like object undergoes a change in velocity Δv=vf-vi in time Δt=tf-ti (indexes i and f stand for initial and final instant as well as for initial and final velocity) its average acceleration, a is defined as
The instantaneous acceleration, a, is obtained from the average acceleration by shrinking the time interval Δt towards zero. The average acceleration approaches a limiting value, which is the acceleration of a given instant:
Acceleration is a vector quantity. SI unit for acceleration is m s-2.
Accelerator is a device (machine) used for acceleration of charged particles (protons, deuterons, α-particles). Particles are accelerated under the influence of an electric field and with the help of a magnetic field are kept inside a certain space. When the particles reach enough acceleration (that is sufficient energy), they are directed on a target we wish to bomb. Best known types cyclotron, synchrotron, betatron.
Accelerator is a substance that increases the rate of chemical reaction, i.e. a catalyst.
Adrenaline was the first naturally produced hormone to be isolated in its pure state. It is known as epinephrine, but its chemical name is 1-[3,4-dihydroxyphenol]-2-methylaminoethanol. Adrenaline is a hormone, produced by the medulla of the adrenal glands, that increases heart activity, improves the power and prolongs the action of muscles, and increases the rate and depth of breathing to prepare the body for "fright, flight, or fight". At the same time it inhibits digestion and excretion.
Generalic, Eni. "Kutna brzina." Croatian-English Chemistry Dictionary & Glossary. 29 June 2022. KTF-Split. {Date of access}. <https://glossary.periodni.com>.
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