For every single increase on this scale, the magnitude is increased by a factor of 10. This scale measures the magnitude of an earthquake, which is the amount of energy released by it. The Richter Scale - Earthquakes are measured on the Richter Scale, which is a base 10 logarithmic scale.The threshold of pain is about 120 dB and that causes hearing loss. So a doubling of sound intensity just leads to +3dB. What the pH scale is doing is measuring the concentration of hydrogen ions (H +) in a substance, and is given by the equationġ0^(10^6)=10 \times 6 = 60 dB Now, if two people are talking at once, that only raises the dB to 63 dB. The pH scale - A commonly used logarithmic scale is the pH scale, used when analyzing acids and bases.This is useful for many applications, some of which will be seen below. When plotted on a semi-log plot, seen in Figure 1, the exponential 10 x function appears linear, when it would normally diverge quickly on a linear graph. Using a logarithmic scale can be useful when creating graphs to compress the scale and make the data easier to comprehend. A noise level chart showing examples of sounds with dB levels ranging from 0 to 180 decibels. What this means is that for every one value of y, the value of x will increase by a factor of ten, and vice versa. To express levels of sound meaningfully in numbers that are more manageable, a logarithmic scale is used, rather than a linear one. Typically, a base ten and base e scale are used.Ī basic equation for a base ten logarithmic plot is Instead of increasing in equal increments, each interval is increased by a factor of the base of the logarithm. Ī logarithmic scale is a nonlinear scale often used when analyzing a large range of quantities. A semi log plot with three different functions graphed (click to enlarge).
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