Question

If Force (F), velocity (V) and acceleration (A) are taken as the fundamental units instead of mass, length and time, express pressure and impulse in terms of $F, V and A

Answer 1

\(Impulse = [MLT-1]velocity = [LT-1]force = \frac{[MLT-2]}acceleration =[LT-2] I = FaVbAc [MLT-1] = [MLT-2]a[LT-1]b[LT-2] ca=1a+b+c=1-2a-b-2c=-1b+c= 0b=-c-2-b+2b=-1b=1c=-1I = FV/APressure = [ML-1T-2]P = FaVbAc [ML-1T-1] = [MLT-2]a[LT-1]b[LT-2] ca=1a+b+c=-1-2a-b-2c=-1b+c = -2-b-2c=1-c = -1c= 1b= -3Pressure P = FV-3A