Then find the numerical magnitude of this force in
FPS unit.
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Physics
Units and Measurement
Introduction to Units and Measurement
In CGS system the magnitude...
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Asked on December 27, 2019 by
Devaprabha Basha
In CGS system the magnitude of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, meter, and minute, find the magnitude of the force.
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ANSWER
We have n
1
=100,M
1
=g,L
1
=cm,T
1
=s and M
2
=kg,L
2
=m,T
2
=min,
The dimensional formula of forces is [M
1
L
1
T
−2
].
Where a=1,b=1,c=−2.
By substituting these values in the following conversion formula, we have
n
2
=n
1
[
M
2
M
1
]
a
[
L
2
L
1
]
b
[
T
2
T
1
]
c
=100[
kg
g
]
1
[
m
cm
]
1
[
min
s
]
−2
=100[
10
3
g
g
][
10
2
cm
cm
][
60s
s
]
−2
=3.6