Please help me understand where the 2.54cm comes from to get 7.62•10^-5? This is a lecture problem

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Problem 48E: Although the preferred SI unit of area is the square meter, land is often measured in the metric...
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Please help me understand where the 2.54cm comes from to get 7.62•10^-5? This is a lecture problem
Example 18-2 (Calculating the length of a wire)
A wire made of nichrome must have a resistance of 110 ohms. How long must the wire be (in meters) if
it is 0.003 inch in diameter? [oichrome =9.3 x 10° ( 2 m) -'].
EX 18-2
CALCULATE THE REQUIRED LENGTH.
Sketch of wire:
Convert diameter to SI units:
d= 0.003 INX
2.54 čm
-5
7.62x10
个
d = 0.003"
NICHROME
-IN-
100 CM
T= 9.3X10
R=1102
R=e& = AR
ARO - Td (R)o
%3D
%3D
4
E e= ? m
area of a circle
T (7.62X10-5m)" (110) 3x10
0.466 m
4
or 46.6 cm or 18.3 inches
Transcribed Image Text:Example 18-2 (Calculating the length of a wire) A wire made of nichrome must have a resistance of 110 ohms. How long must the wire be (in meters) if it is 0.003 inch in diameter? [oichrome =9.3 x 10° ( 2 m) -']. EX 18-2 CALCULATE THE REQUIRED LENGTH. Sketch of wire: Convert diameter to SI units: d= 0.003 INX 2.54 čm -5 7.62x10 个 d = 0.003" NICHROME -IN- 100 CM T= 9.3X10 R=1102 R=e& = AR ARO - Td (R)o %3D %3D 4 E e= ? m area of a circle T (7.62X10-5m)" (110) 3x10 0.466 m 4 or 46.6 cm or 18.3 inches
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