Work Equation
W = Fd
The work equation is a mathematical formula used to calculate the amount of work done on an object by an external force applied to it.
The work equation is:
W = F x d x cos(theta)
where:
W = work done on the object (measured in joules)
F = force applied to the object (measured in Newtons)
d = distance over which the force is applied (measured in meters)
theta = angle between the force vector and displacement vector (measured in radians)
The work equation tells us that the work done on an object is proportional to the magnitude of the external force applied to it and the distance over which the force is applied. The angle between the force vector and displacement vector is also a factor in determining the work done on the object.
If the force and displacement vectors are parallel, then the angle between them is 0 degrees and the cosine of 0 degrees is 1, so the work done on the object is at a maximum. If the force and displacement vectors are perpendicular, then the angle between them is 90 degrees and the cosine of 90 degrees is 0, so the work done on the object is zero.
The work equation is used in many applications, including physics, engineering, and mechanics. It helps us understand the relationship between the force applied to an object and the amount of work done on that object.
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