SOLUTION: could you help me solve a headlight mirror concerning parabola's.
a car headlight mirror has a parabolic cross section with diameter 6in. and depth 1 in.
A) position a coordinate
Algebra.Com
Question 35074This question is from textbook
: could you help me solve a headlight mirror concerning parabola's.
a car headlight mirror has a parabolic cross section with diameter 6in. and depth 1 in.
A) position a coordinate system with the origin at the vertec and x-axis on the parabola's axis of symmetry and find an equation of the parabola
b) how far from the vertex should the bulb be positioned if it is to be placed at hte focus
This question is from textbook
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
could you help me solve a headlight mirror concerning parabola's.
a car headlight mirror has a parabolic cross section with diameter 6in. and depth 1 in.
A) position a coordinate system with the origin at the vertec and x-axis on the parabola's axis of symmetry and find an equation of the parabola
LET O BE THE ORIGIN AND VERTEX,F THE FOCUS,OF IS X AXIS...
EQN. OF PARABOLA IS
Y^2=4AX...WE HAVE DIAMETER OF MIRROR AS 6" AT A DEPTH OF 1"FROM VERTEX/ORIGIN
SO (1,6/2) AND (1,-6/2) ARE POINTS ON THE PARABOLA..SO
6^2=4A*1
4A=36
A=9
HENCE EQN . OF PARABOLIC MIRROR IS Y^2=36X
b) how far from the vertex should the bulb be positioned if it is to be placed at hte focus
BULB IS TO BE AT FOCUS.FOCUS IS AT (A,0)..SO WE SHOULD PLACE IT A"=9" FROM VERTEX
RELATED QUESTIONS
In some solar collectors, a mirror with a parabolic cross section is used to concentrate... (answered by richwmiller)
A mirror with a parabolic cross section is used to collect sunlight on a pipe located at... (answered by lwsshak3)
The filament of a light bulb is a thin wire that glows when electricity passes through... (answered by nerdybill)
A panoramic photo can be taken using a hyperbolic mirror. The camera is pointed toward... (answered by MathLover1,ikleyn)
a hyperbolic mirror can be usedto take panoramic photographs. A camera is pointed toward... (answered by stanbon)
A reflecting telescope has a parabolic mirror for which the distance from the vertex to... (answered by lwsshak3)
A reflecting telescope has a parabolic mirror for which the distance from the vertex to... (answered by lwsshak3)
A reflecting telescope has a parabolic mirror for which the distance from the vertex to... (answered by greenestamps)
A reflecting telescope has a parabolic mirror for which the distance from the vertex to... (answered by ikleyn)