Answer:
666.67 s
Explanation:
Q = AV.....................(1)
Where Q=Volume of flow rate (m³/s), A=cross sectional area occupied by the flow rate(m²), V=Average velocity of flow(m/s).3
Give:A=3 cm²
and to convert from cm³ to m² (divide by 10000),
∴ A=3/10000=0.0003m²
And V=25cm/s
and to convert from cm/s to m/s (divide by 100),
∴V=25/100(m/s) = 0.25m/s.
∴ Q=0.0003×0.25 = 0.000075m³/s.
Also, Q = V/t ......................(2)
Where V=Volume of the container to be filled with water (m³)
t= Time take to fill the container (seconds).
making t, the subject of formula in equation 2,
t= V/Q
Given: V= 50L, to convert from L to m³ (divide by 1000)
∴V= 50/1000= 0.05m³.
And Q=0.000075m³/s.
∴ t= 0.05/0.000075
⇒ t= 666.666667
approximating to 2 decimal place.
∴ t = 666.67 s
