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The total mass of a variable density rod is given by where m = mass, ρx=...

The total mass of a variable density rod is given by

where m = mass, ρx= density, Ac(x)= cross-sectional area, x= distance along the rod, and

L= the total length of the rod. The following data have been measured for a 20m length rod.

Determine the mass in grams to the best possible accuracy.

x,m

0

2

4

6

8

10

12

14

16

18

20

ρ, g/cm2

4.00

3.98

3.95

3.89

3.80

3.74

3.6

3.55

3.41

3.37

3.30

Ac, cm2

100

102

103

106

110

114

120

130

133

1142

150
Math   Advanced-Math   
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