SOLUTION: In the video, I show measurements of light intensity (measured in lux) from a flashlight at several distances. With the light off, the ambient room light was 239 lux. At 10 cm, the
Algebra.Com
Question 1103292: In the video, I show measurements of light intensity (measured in lux) from a flashlight at several distances. With the light off, the ambient room light was 239 lux. At 10 cm, the light sensor read 2513 lux. Unfortunately, the flashlight flickered at 20 cm and the reading wasn't accurate.
L=k/x^2+L ambient
a. Using the data, complete the equation for light in terms of distance, x.
b. If we wanted a light intensity of 1400 lux,at what distances should we place the light .
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Substituting
and the coordinates of our data point,
To get ,
means
There are two solutions to that equation,
but we are looking for a positive distance, so
At this point, you could just reach for the calculator,
because it does not simplify much.
The approximate answer from the calculator is
,
so we should place the light at from whatever point we want with 1400 lux of light intensity.
RELATED QUESTIONS
Intensity of light, measured in lux(lx) varies inversely as the square of the distance... (answered by stanbon)
the illuminance E at a point on a surface is given by the formula
E = I/d²
where E=... (answered by richwmiller)
If a 72-candela light source is located at a distance of 3 meters from a surface, the... (answered by asuar010)
Intensity of a Light Bulb The farther a person is
from a light bulb, the less intense... (answered by richard1234)
The intensity of light decreases as it passes through sea water. The equation ln Io/I=... (answered by scott8148)
The intensity I (in candlepower) of a certain light source obeys the equation I =... (answered by ikleyn)
given that the light intensity I(lumens) at a depth x feet in lake superior is expressed... (answered by josmiceli)
The intensity level of sound is measured on a logarithmic scale. The intensity level, β, (answered by Theo)
The intensity of light received from a source varies inversely as the square of the... (answered by Fombitz)