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Page 7
We have seen ( $ 1 ) that the numerical value n of a length 1 is given in terms of the unit - length L by the equation . 1 n = ; ( 1 ) Here we notice , in the first place , that the numerical value of a concrete quantity varies directly ...
We have seen ( $ 1 ) that the numerical value n of a length 1 is given in terms of the unit - length L by the equation . 1 n = ; ( 1 ) Here we notice , in the first place , that the numerical value of a concrete quantity varies directly ...
Page 9
From equations ( 1 ) and ( 2 ) we have L L ' V = v T'T ' ī ' T ' But v = nV = n'V ' , L 1 L ' T'I īT " ..n . 1. = v . 4. t which may be written in the form L = n4 L ' 12 ( 3 ) Equation ( 3 ) enables us to find the measure ( n ' ) of the ...
From equations ( 1 ) and ( 2 ) we have L L ' V = v T'T ' ī ' T ' But v = nV = n'V ' , L 1 L ' T'I īT " ..n . 1. = v . 4. t which may be written in the form L = n4 L ' 12 ( 3 ) Equation ( 3 ) enables us to find the measure ( n ' ) of the ...
Page 11
1 2 3 4 ( 6 ) A comparison of equations ( 5 ) and ( 6 ) shows that the unit of acceleration varies directly as the ... From ( 6 ) we have directly LT'2 n ' = L ' ' T2 ' an equation which gives us the required measure ( n ' ) in the new ...
1 2 3 4 ( 6 ) A comparison of equations ( 5 ) and ( 6 ) shows that the unit of acceleration varies directly as the ... From ( 6 ) we have directly LT'2 n ' = L ' ' T2 ' an equation which gives us the required measure ( n ' ) in the new ...
Page 12
The units of mass and acceleration are already fixed , but we may make the unit of force whatever we please , and it will obviously be most convenient to choose it so that the constant multiplier k shall be equal to unity . Our equation ...
The units of mass and acceleration are already fixed , but we may make the unit of force whatever we please , and it will obviously be most convenient to choose it so that the constant multiplier k shall be equal to unity . Our equation ...
Page 13
F = M ! = MLT3 T ? an equation which gives the dimensions of force . Since work is measured by the product of force into the distance through which the force acts , the dimensions of work will be those of force multiplied by length ...
F = M ! = MLT3 T ? an equation which gives the dimensions of force . Since work is measured by the product of force into the distance through which the force acts , the dimensions of work will be those of force multiplied by length ...
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