Check the following equations for dimensional consistency where t is time (s), v is speed (m/s), a is acceleration (m/s2 ), and x is position (m): a) ? = ? 2 2? b) ? = 1 2 ?? c) ? = √ 2? ? .
answer) here we have dimensions
x=L
t=T
v=L/T
a=L/T2
so for a ) L=L/T*L/T2
LL2/T3
so its dimensionally inconsistent
b) here we have
L=L/T2*T
LL/T
so its dimensionally inconsistent
c) here we have
T=L*L/T2
TL2/T2
so its dimensionally inconsistent
Check the following equations for dimensional consistency where t is time (s), v is speed (m/s),...
Check the following equations for dimensional consistency where t is time (s), v is speed (m/s), a is acceleration (m/s2 ), and x is position (m): a) ? = (? ^2/ 2?) b) ? = 1/ 2 ?? c) ? = √( 2?/ ? ).
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