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the unit of time constant

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Hello all ^^

for the equation : y(t)=Exp(-at)u(t)

we say that the " time constant " =1/a

How to prove the " time constant " have the unit of s (second)

thanks a lot
 

Simply put, the exponent has to be dimensionless, therefore a*t is dimensionless, so 1/a must be measured in seconds.[/quote]
 

simple, you need that the exponent is adimensional, because u(t) and y(t) are in the same dimensions, so the only unit that can cancel t it's 1/t so a must have the unit 1/s.
 

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