Worksheet
Dimensional Analysis
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Refer to the following information for the next twelve questions.
Using the dimension notation [L], [M], [T], give the dimension of each of the following variables.
t
for time
m
for mass
d
for distance
s
for displacement
v
for velocity
a
for acceleration
V
for volume
D for density
F
for force
P
for pressure
W
for work
E
for energy
Refer to the following information for the next six questions.
State whether each of the following formulas is dimensionally consistent.
E = mv
^{2}
yes
no
F/m = a
yes
no
v
_{f}
= as
yes
no
W = P/V
yes
no
P = FA
yes
no
s = v/t
yes
no
Refer to the following information for the next question.
Use dimensional analysis to determine the value for k in the following formula.
T
^{2}
= 4
p
^{2}
(m/k)
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