Calculator includes solutions for initial and final velocity. *I thank Stephen Selipsky for bringing Page's results to my attention and for his patient explanations. Online program for calculating various equations related to constant acceleration motion. As the universe expands and cools, however, eventually the black hole may begin to lose mass-energy through Hawking radiation. The bigger your speed, the more distance you cover in the same amount of time. There is an equation in physics describing the relationship between your speed, the duration of your travel, and the distance you cover. An equation always contains an 'equals'-sign. Indeed, any black hole with a mass greater than about 0.75% of the Earth's mass is colder than the cosmic background, and thus its mass increases for now. Equations in physics describe relations between physical quantities. So rather than shrinking, it would continue to grow. Therefore, whatever little energy it radiates, it actually receives more in the form of heat from the cosmos. But that does not take into account the fact that such a black hole is colder than the cosmic microwave background radiation bathing it. The lifetime of a $1~M_\odot$ black hole, therefore, is calculated as nearly 57 orders of magnitude longer than the present age of the universe. The latest version also correctly accounts for the black hole's effective area, light scattering, and the resulting change in its evaporation lifetime. See the sections below including equations from motion, forces, energy, momentum, electricity and waves. Use our best physics calculators for free and have an enjoyable learning experience in physics. Our equation sheet from various sections of physics. If the lens were much fatter then the distance from the centre to the predicted focal point would be inside the lens and therefore not valid. Here it can be seen that the focal length is longer than predicted but not by much. The drop-down menus select the units of measure to be used for their corresponding input field.Īn added feature is the calculation of the "peak photon" wavelength, corresponding frequency, and photon energy, representing the peak of the blackbody radiation curve per unit logarithm (of wavelength or frequency) that corresponds to the black hole temperature. Just enter the concept you wish to prepare and you will find the physics problem solver with solution under the respective headings. How to organize it The solution is here Our physicists’ team constantly create physics calculators, with equations and comprehensive explanations that cover topics from classical motion, thermodynamics, and electromagnetism to astrophysics and even quantum mechanics. The lens makers equation is only valid for thin lenses, this can be tested in Aglodoo by using a fat lens. I kept the unit, but decided to use instead the much more useful value of one solar mass as the initial mass.Īs in Wisniewski's version, specifying any quantity causes the others to be recalculated accordingly (see source). Wisniewski's original code included a fictitious unit of mass, the "standard industrial neuble", equivalent to a billion metric tons, from Will McCarthy's novel The Collapsium. The Simple Wave Simulator Interactive provides the learner with a virtual wave machine for exploring the nature of a wave, quantitative relationships between wavelength, frequency and speed, and comparisons between transverse waves such as those traveling through a rope and longitudinal waves such as sound. The original idea belongs to Jim Wisniewski, whose page from 2006 ( link) appears to be no longer available available again, but since it is not archived by the Wayback Machine, I think my functional clone is still useful. Spherical lenses, in general, have two types of surfaces on the left and right sides, which might be convex or concave.Ĭonvex Lens: left surface R 1>0, right surface R 20įor more concepts check out to get quick answers by using the free tools available.This page contains a JavaScript calculator of Hawking radiation and other parameters of a Schwarzschild black hole. Radius of Curvature: Radius of Curvature can be either positive or negative. The simplified version of the formula can be used in the majority of cases since the lenses are thin enough. The thickness of the lens is denoted by the letter dīy simplifying the lens maker's formula even more by assuming the lens is very thin, i.e., d=0, we can get.The Radius of Curvature of the Lens Surface Away from the Light Source is R 2.R 1 is the curvature radius of the lens surface closest to the light source.Where f is the focal length and n is the lens material's refractive index.The focal length can be determined or estimated using the mathematical formula for lens making, which is as follows:ġ/f=(n-1)*(1/R 1 -1/R 2) (n-1)*d/(n*R 1*R 2))
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