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This equation indicates that a clockwise rotational moment of the torso must be counteracted by a counterclockwise rotational moment, which is produced b the back muscles with a moment arm of about 5 cm.
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equation and indicates
As with the basic equation of heat transfer, indicates that the rate of force is directly proportional to the driving force, which is the concentration gradient.
The universal transformer equation indicates a minimum cross-sectional area for the core to avoid saturation.
At a more advanced level, the Arrhenius Activation energy term from the Arrhenius equation is best regarded as an experimentally determined parameter that indicates the sensitivity of the reaction rate to temperature.
Note that this equation indicates that when expectations of future inflation ( or, more correctly, the future price level ) are totally accurate, the last term drops out, so that actual output equals the so-called " natural " level of real GDP.
It is used in the drag equation, where a lower drag coefficient indicates the object will have less aerodynamic or hydrodynamic drag.
The authors note that evidence indicates to be very close to − 1 in our universe, which makes the dominating term in the equation.
This equation indicates that oxygen and CH < sub > 4 </ sub > react to form H < sub > 2 </ sub > O and CO < sub > 2 </ sub >.
The equation E = mc < sup > 2 </ sup > indicates that energy always exhibits relativistic mass in whatever form the energy takes.
The same equation indicates why evaporative coolers are of limited use in highly humid environments: for example, a hot August day in Tokyo may be, 85 % relative humidity, 1, 005 hPa pressure.
This equation indicates that for a lifting situation discussed here, which is typical of many lifting tasks, the back muscle force is eight times the load weight and four times the torso weight combined.
If the same person lifts a load of 450 N, the equation indicates that the muscle force would reach 5, 000 N, which is at the upper limit of most people ’ s muscle capability.
This is called a rarefaction, and indicates the solution typically exists only in a weak, i. e. integral equation, sense.
The modeling of these relationships is in practice more complex than this equation indicates, with flux depending on the membrane, feed, and draw solution characteristics, as well as the fluid dynamics within the process itself.
This equation indicates that the fraction of the total amount of reactant population that will break down in each time period is independent of the initial amount present.
To translate this arithmetically following equation is formulated p1y1 + p2y2 < m or p1y1 + p2y2 = m This equation indicates that the bundle of goods ( y1, y2 ) satisfies the budget constraint or in other words ( y1, y2 ) is affordable by the consumer.
This equation indicates that a Δv of times the exhaust velocity requires a mass ratio of.
The last equation indicates a relationship similar to ideal gas law.
equation and rotational
When proper units are used for tangential speed v, rotational speed ω, and radial distance r, the direct proportion of v to both r and ω becomes the exact equation:
If torque is in Newton-metres and rotational speed in revolutions per second, the above equation gives power in Newton-metres per second, or Watts.
If Imperial units are used, and if torque is in pounds-force feet and rotational speed in revolutions per minute, the above equation gives power in foot pounds-force per minute.
In quantum mechanics, rotational invariance is the property that after a rotation the new system still obeys Schrödinger's equation.
An analogous equation for the rotational diffusion of a rigid molecule can be derived in a similar way.
This equation will allow us to fully model the behavior of particles, but this is not sufficient for most simulations because it does not account for the rotational motion of rigid bodies.
equation and moment
For a collection of N point particles, the scalar moment of inertia I about the origin is defined by the equation
In 1673 Christiaan Huygens derived the equation for the center of oscillation and oscillation period of compound pendulums, thus making use of the general equation for the moment of inertia for the first time.
The moment equation is the time derivative of the angular momentum:
In the poem, Pound describes a moment in the underground metro station in Paris in 1912 ; Pound suggested that the faces of the individuals in the metro were best put into a poem not with a description but with an " equation ".
If a precise moment for the genuine " midnight sun " is required, the observer's longitude, the local civil time and the equation of time must be taken into account.
They then calculate the righting moment at this angle, which is determined using the equation:
The moment the sun passed overhead, the clock was set to noon, offset by the number of minutes given by the equation of time for that date.
In the most general case of an arbitrary current distribution in space, the magnetic moment of such a distribution can be found from the following equation:
The above equation can be used for calculating a magnetic moment of any assembly of moving charges, such as a spinning charged solid, by substituting
In the equation for torque on a moment, the torque is measured in joules and the magnetic field in tesla, so the moment is measured in Joules per Tesla ( J ⋅ T < sup >− 1 </ sup >).
The scalar seismic moment is defined by the equation
The following formula, obtained by solving the previous equation for, allows one to assess the proportional difference in energy release between earthquakes of two different moment magnitudes, say and:
In this case, the 2 unknowns V < sub > A </ sub > and V < sub > C </ sub > can be determined by resolving the vertical force equation and the moment equation simultaneously.
Making the substitution into the defining equation for the moment generating function it can be seen that:
An identity for the second moment is given by the Blackwell – Girshick equation.
Reduction of the Dirac equation for an electron in a magnetic field to its non-relativistic limit yields the Schrödinger equation with a correction term which takes account of the interaction of the electron's intrinsic magnetic moment with the magnetic field giving the correct energy.
The total magnetic dipole moment resulting from both spin and orbital angular momenta of an electron is related to the total angular momentum J by a similar equation:
Substituting in this equation expressions for the magnetic moment and the magnetic field, one gets
2.285 seconds.