For a Newtonian fluid, the deviatoric stress tensor is related to the velocity by

For a rigid body rotating around an axis of symmetry ( e. g. the blades of a ceiling fan ), the angular momentum can be expressed as the product of the body's moment of inertia, I, ( i. e. a measure of an object's resistance to changes in its rotation rate ) and its angular velocity ω:

For an object with a fixed mass that is rotating about a fixed symmetry axis, the angular momentum is expressed as the product of the moment of inertia of the object and its angular velocity vector:

For a singly charged hydrogen ion, ionised at 8 kV, the resulting velocity would be X ms < sup >− 1 </ sup >.

For a singly charged deuterium ion, the velocity would be Y ms < sup >− 1 </ sup >.

For example, in a copper wire of cross-section 0. 5 mm < sup > 2 </ sup >, carrying a current of 5 A, the drift velocity of the electrons is on the order of a millimetre per second.

For waves that propagate in a medium, such as sound waves, the velocity of the observer and of the source are relative to the medium in which the waves are transmitted.

For waves which do not require a medium, such as light or gravity in general relativity, only the relative difference in velocity between the observer and the source needs to be considered.

For fluids which are sufficiently dense to be a continuum, do not contain ionized species, and have velocities small in relation to the speed of light, the momentum equations for Newtonian fluids are the Navier-Stokes equations, which is a non-linear set of differential equations that describes the flow of a fluid whose stress depends linearly on velocity gradients and pressure.

The red dot overtakes two green dots when moving from the left to the right of the figure. New waves seem to emerge at the back of a wave group, grow in amplitude until they are at the center of the group, and vanish at the wave group front. For surface gravity waves, the water particle velocities are much smaller than the phase velocity, in most cases.

For waves traveling through three dimensions, such as light waves, sound waves, and matter waves, the formulas for phase and group velocity are generalized in a straightforward way:

For ultimate accuracy and performance, the handloader also has the option of using a wildcat cartridge ; wildcats are the result of shaping the cartridge and chamber themselves to a specific end, and the results push the envelope of velocity, energy, and accuracy.

Newton sought to remove the use of infinitesimals from his fluxional calculus, preferring to talk of velocities as in " For by the ultimate velocity is meant ... the ultimate ratio of evanescent quantities ".

For rockets, TSFC can be used, but typically other equivalent measures are traditionally used, such as specific impulse and effective exhaust velocity.

For instance, Bernoulli's equation can be used to determine the pressure at each point on the airfoil from the speed of the velocity field.

For a boost in an arbitrary direction with velocity v, it is convenient to decompose the spatial vector r into components perpendicular and parallel to v:

For Einstein, the Lorentz transformation implied a conceptual change: that the concept of position in space or time was not absolute, but could differ depending on the observer's location and velocity.

For any specific combination of height above the center of gravity and mass of the planet, there is one specific firing velocity ( unaffected by the mass of the ball, which is assumed to be very small relative to the Earth's mass ) that produces a circular orbit, as shown in ( C ).

For example, the 3 numbers which describe the body's initial position, and the 3 values which describe its velocity will describe a unique orbit that can be calculated forwards ( or backwards ).

For maximum power and efficiency, the turbine system is designed such that the water-jet velocity is twice the velocity of the bucket.

The red dot overtakes two green dots when moving from the left to the right of the figure. New waves seem to emerge at the back of a wave group, grow in amplitude until they are at the center of the group, and vanish at the wave group front. For surface gravity waves, the water particle velocities are much smaller than the phase velocity, in most cases.

For such a component, any given phase of the wave ( for example, the crest ) will appear to travel at the phase velocity.

For example, a bullet with a muzzle velocity of leaving a barrel that twists once per foot ( 1 / 12 ") would rotate at 180, 000rpm.

For example, from the equation, with an of 0. 7, a rocket flying at Mach 0. 85 ( which most aircraft cruise at ) with an exhaust velocity of Mach 10, would have a predicted overall energy efficiency of 5. 9 %, whereas a conventional, modern, air-breathing jet engine achieves closer to 35 % efficiency.

For top and bottom pieces, use short end of mold as measurement guide.

For Felix it was a bit of a stretch to make even that measurement.

For a meteor, the standard distance for measurement of magnitudes is at an altitude of at the observer's zenith.

For any system, the following restrictions on measurement results apply, where is the reduced Planck constant and is any direction vector such as x, y, or z:

For measurement at constant experimentally controlled volume, the isochoric coefficient of pressure rise with temperature, is defined by

For any rectangular section on a round tube, the diagonal measurement is also the diameter of the tube.

For example, as statistical offices improve their data, measurement error decreases, so the error term declines over time.

For example, rather than just getting a passing grade for mathematics, a student might be assessed as level 4 for number sense, level 5 for algebraic concepts, level 3 for measurement skills, etc.

For details, see the article on measurement in quantum mechanics.

For instance, if the result of the measurement is, < var > α </ var > is changed to 1 ( up to phase ) and < var > β </ var > is changed to 0.

For rocks dating back to the beginning of the solar system, this requires extremely long-lived parent isotopes, making measurement of such rocks ' exact ages imprecise.

For the past 15 years the plastics industry has used ultrasonic testing in the field of wall thickness measurement of pipe extrusions.

For example, if a measurement of an observable is taken then the system is in a particular eigenstate of that observable.

For example, when one observes a measured increase in temperature with a thermometer, that observation is based on assumptions about the nature of temperature and its measurement, as well as assumptions about how the thermometer functions.

For many years a common radiation measurement device, which was widely used in the nuclear industry, was the Quartz Fibre Electrometer ( or QFE ) personal dosimeter, which is actually a ruggedized, calibrated electroscope.

For example, a meter reading 5½ stable digits may indicate that one nominally 100, 000 ohm resistor is about 7 ohms greater than another, although the error of each measurement is 0. 2 % of reading plus 0. 05 % of full-scale value.

For example, sometimes aircraft noise is studied by measuring ambient sound without presence of any overflights, and then studying the noise addition by measurement or computer simulation of overflight events.

For radiated emission measurement, antennas are used as transducers.

For measurement purposes, the Earth serves as a ( reasonably ) constant potential reference against which other potentials can be measured.

: Note: For optical fiber dispersion measurement purposes, the quantity of interest is group delay per unit length, which is the reciprocal of the group velocity of a particular mode.

For best measurement reproducibility, one would select a diameter that is not near such a transition, although this may not be possible if measurements must be performed over a range of wavelengths.

For this reason, the managers understand the forces and weaknesses of the cost accounting systems, and participate in the evaluation and evolution of the cost measurement and administration systems.

For micrometers this is their typical accuracy range. Micrometers typically have a specified temperature at which the measurement is correct ( often 20 ° C, which is generally considered " room temperature " in a room with HVAC ).

For example, a measurement of 5. 783 millimetres would be obtained by reading 5. 5 millimetres on the sleeve, and then adding 0. 28 millimetre as determined by the thimble.