Question

T is inversely proportional to the cube of u. When u=5 ,t= 0.0096 find the value of u when t= 0.15

Answer 1

From the information given,
t α 1/u³
thus
t=k/u³
where k is the constant of proportionality
k=tu³
where
u=5, t=0.0096
then
k=5(0.0096)=0.048
hence
t=0.048/u³
thus the value of u when t=0.15 will be:
0.15=0.048/u³
u³=0.048/0.15
u³=0.32
u=³√0.32
u=0.684