formularium.org - free formulas

Acceleration Acceleration is the rate of change of velocity. At any point on a speed-time graph, the magnitude of the acceleration is given by the slope of the tangent to the curve at that point. In physics, acceleration is defined as the rate of change of velocity, or as the second derivative of position (with respect to time). It is then a vector quantity with dimension length/time². In SI units, acceleration is measured in meters/second² (m·s-2). The term "acceleration" generally refers to the change in instantaneous velocity. In common speech, the term acceleration is only used for an increase in speed; a decrease in speed is called deceleration. In physics, any increase or decrease in speed is referred to as acceleration and similarly, motion in a circle at constant speed is also an acceleration, since the direction component of the velocity is changing. See also Newton's Laws of Motion.	run formula	edited by: ay
Calculating a weighted average If all the weights are equal, then the weighted mean is the same as the arithmetic mean. While weighted means generally behave in a similar fashion to arithmetic means, they do have a few counter-intuitive properties, as captured for instance in Simpson's paradox. Weighted versions of other means can also be calculated. Examples of such weighted means include the weighted geometric mean and the weighted harmonic mean. The notion of weighted mean plays a role in descriptive statistics and also occurs in a more general form in several other areas of mathematics. In the special case, often encountered in practice, where the weights are normalized (i.e. are nonnegative and sum up to 1), the denominator of the fraction simplifies to 1.	run formula	edited by: ay
Pregnancy Date Calculator Pregnancy is typically broken into three periods, or trimesters, each of about three months. While there are no hard and fast rules, these distinctions are useful in describing the changes that take place over time. First trimester Traditionally, doctors have measured pregnancy from a number of convenient points, including the day of last menstruation, ovulation, fertilization, implantation and chemical detection. In medicine, pregnancy is often defined as beginning when the developing embryo becomes implanted into the endometrial lining of a woman's uterus. ... Second trimester Months 4 through 6 of the pregnancy are called the second trimester. Most women feel more energized in this period, and begin to put on weight as the symptoms of morning sickness subside and eventually fade away. ... Third trimester Final weight gain takes place, and the fetus begins to move regularly. The woman's navel will sometimes become convex, "popping" out, due to her expanding abdomen. ...	run formula	edited by: ay
Joule The joule (symbol: J) is the SI unit of energy. It was named after James Prescott Joule for his work on the relationship between heat, electricity and mechanical work. One joule is the work done, or energy expended, by a force of one newton moving an object one meter along the direction of the force. This quantity is also denoted as a Newton-meter with the symbol N·m. Note that torque also has the same units as work, but the quantities are not identical. In elementary units: 1J = 1kg. m²/s² One joule is also: * The work required to move an electric charge of one coulomb through an electrical potential difference of one volt; or one coulomb volt, with the symbol C·V. * The work done to produce power of one watt continuously for one second; or one watt second (compare kilowatt-hour), with the symbol W·s.	run formula	edited by: ay
Cone A cone is a three dimensional geometric shape. It is the locus of all line segments between a simply connected region of a plane (the base) and a point (the apex) outside the plane. There are four types of cones; circular, elliptical, right and oblique all of which are conic solids. All pyramids are also cones, in otherwords it is the generalization of a pyramid to non-polygonal bases. In common usage and elementary geometry, a cone refers to a right circular cone. The boundary of a conic solid is a conic surface. A cone with its apex cut off by a plane parallel to its base is called a truncated cone or frustum.	run formula	edited by: ay
Cuboid In geometry, a cuboid is a solid figure bounded by six rectangular faces: a rectangular box. All angles are right angles, and opposite faces of a cuboid are equal. It is also a right rectangular prism. The term "rectangular or oblong prism" is ambiguous. Also the term rectangular parallelepiped is used. The square cuboid, square box or right square prism (also ambiguously called square prism) is a special case of the cuboid in which at least two faces are squares. The cube is a special case of the square prism in which all faces are squares. If the dimensions of a cuboid are a, b and c, then its volume is abc and its surface area is [FORMEL...]. The length of the space diagonal is [FORMEL...] . the volume is [FORMEL...]	run formula	edited by: ay
Cylinder In mathematics, a cylinder is a quadric surface, with the following equation in Cartesian coordinates: [FORMEL...] This equation is for an elliptic cylinder, a generalization of the ordinary, circular cylinder (a = b). Even more general is the generalized cylinder: the cross-section can be any curve. The cylinder is a degenerate quadric because at least one of the coordinates (in this case z) does not appear in the equation. By some definitions the cylinder is not considered to be a quadric at all. In common usage, a cylinder is taken to mean a finite section of a right circular cylinder with its ends closed to form two circular surfaces, as in the figure (right). If the cylinder has a radius r and length (height) h, then its volume is given by [FORMEL...] and its surface area is [FORMEL...]	run formula	edited by: ay
WACC - Weighted average cost of capital The weighted average cost of capital (WACC) is used in finance to measure a firm's cost of capital. It has been used by many firms in the past as a discount rate for financed projects, since the cost of the financing seems like a logical price tag to put on it. Corporations raise money from two main sources: equity and debt. Thus the capital structure of a firm comprises three main components: preferred equity, common equity and debt (typically bonds and notes). The WACC takes into account the relative weights of each component of the capital structure and presents the expected cost of new capital for a firm.	run formula	edited by: ay
Rating Calculation Estimates a rating and cost of debt based on the coverage of debt by an organization	run formula	edited by: ay
Trajectory of a projectile In physics, the ballistic trajectory of a projectile is the path that a thrown object will take under the action of gravity, neglecting all other forces, such as friction from air resistance, or propulsion. This article provides a list of methods for calculating the trajectory of a projectile under the influence of Earth's gravity.	run formula	edited by: ay

RSS faq imprint log in