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Calculus is the mathematical study of change, much as geometry is the study of shape and algebra is the study of operations and how they are applied to solve problems.
Typology: Lecture notes
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The concept of work is important to scientists and engineers for determining the energy needed to perform various jobs. For instance, it is useful to know the amount of work done when a crane lifts a steel girder, when a spring is compressed, when a rocket is propelled into the air, or when a truck pulls a load along a highway. In general, work is done by a force when it moves an object. If the force applied to the object is constant, then the definition of work is as follows: DEFINITION OF WORK DONE BY A CONSTANT FORCE If an object is moved a distance D in the direction of an applied constant force F, then the work W done by the force is defined as W = FD. There are many types of forces – centrifugal, electromotive, and gravitational, to name a few. A force can be thought of as a push or pull ; a force changes the state of rest or state of motion of a body. For gravitational forces on Earth, it is common to use units of measure corresponding to the weight of an object. Example 1. Lifting an Object
in dyne – centimeters (ergs) or newton – meter (joules), where 1 joule = 𝟏𝟎𝟕^ ergs.
One of the simplest notions of work deals with the problems of extension or compression of elastic materials such as a rubber band, a helical spring, or an elastic cord.
container ( a cylindrical tank, a conical vessel, or a spherical tank, etc.) to the top of the container or to any point above its top.
𝒃 𝒂 where w is the weight density (mass per unit volume of the liquid) h is the height dV is the differential of the Volume
𝒎 𝒔𝟐
𝟐
𝟐 𝟑