Questions and Answers - Dimension

? If displacement I= atb+ct2 If I is displacement and t is time Find dimensions of A,B, ( and also find dimensions of AC and b/c? ans: X a+bt+ct2 ac & b/C [a]=[x] [bt]=(x) [a] =L bxT=L

b= L T b= LT (t== ac LXLT CXT = L = L'T C L T2 10 = LT LT C= (LT-2] =T ? V= a +bt t ins: v=velocity t= time a,6 dimension? a =v t V= [6t"] a==TT t OA 6ST = LT a=LT'*T' b= LT LT = LT# T3 = LT = [LT ]] =L ? F-ax +6t+ct" ans: ax=F

axL= MLT-2 bit= MLT CT= MIT a= MLT-2 b= MLT (= MLT2 I T a= MT-2 b= [MLT3] T2 C= MLT4 - ? (ptg) (v-b) =RRT find and 6 ans: [p]= VI a [ML'+2] =9 ([3)2 a:[nL'T's] mL'T -2 = a 6=V L6 b=L3 :aa MIST-2 and 6 is L3 ? x=Asin (Bt+c) Find o dimension of AB c ens: x -> disp t time x in m tinsec AX L L A=L Bt=(x=1

B*T=1 B= 1 =+ T (x=1 CXL =1 C=1/1 L L AB LxT = [I'T']] C = L-