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Civil engineers use partial differential equations in many different situations. These include the following: heating and cooling; motion of a particle in a resisting medium; hanging cables; electric circuits; natural purification in a stream.
The question is pretty open ended. A number of mathematical (and related physics) concepts would be helpful for functioning as an astronaut. Motion of objects calcualtions need Trionometry/geometry and Algebra, for sure. Differential equations govern the motion as well. Do they need to be using them in space? Perhaps not directly, but it may become inherent in their experience.
Main application of rectilinear motion in the field of science is to find the motion, position and distance of an object. It can also be used to make comparison between the parameters of object in real field, relative velocity, relative motion and acceleration of an object can be determined. Thus, using the equations of rectilinear motion, one can take advantage in the field like factories of machinery where the terms like motion, acceleration, position of object are main functioning concern. Practically, to design something on the basis of motion, acceleration , etc , the equations of rectilinear motion are of great importance.
u = initial velocity in newtons equations of motion.
No. The equations for three or more bodies moving under the influence of each others' gravity, is extremely complex.
circular motion linear motion random motion
translational motion and rotational motion
Particles within are limited to vibrational motion, unlike the particles which make up liquids which can have vibrational & translational motion, and gaseous particles which have vibrational, translational and rotational motion.
The Runge-Kutta method is one of several numerical methods of solving differential equations. Some systems motion or process may be governed by differential equations which are difficult to impossible to solve with emperical methods. This is where numerical methods allow us to predict the motion, without having to solve the actual equation.
Planets
Translational motion . . .The object's center of mass winds up at a different locationcompared to where it was when the motion began.Rotational motion . . .The location of the object's center of mass doesn't change, butthe object turns, spins, whirls, tumbles, or rotates around it.
If the object changes position it means it has translational motion. Other types of motion include rotational motion and vibrational motion. This would apply to thermodynamics, when we look at gas molecules. The key point to remember is that the centre of mass of the object has changed displacement coordinates, therefore it has undergone translational motion.
The key difference between a particle and a rigid body is that a particle can undergo only translational motion whereas a rigid body can undergo both translational and rotational motion
Yes, Electricity we use is actually generated by transformation of energy from translation and rotational motion. Turbines are used to transform translational motion of water or water vapors into rotational motion, that is then transferred to the generator, where the magnets are used to generate Alternating current.
a leaf blowing across the field
B. a leaf blowing across the field
means motion of equation