# Lab Assignment 8 Small correction to the formula for calculating the height of the water in the tank at a given time

Small correction to the formula for calculating the height of the water in the tank at a given time:
h(t) = at
V t
in − 2a
t
2
A gt
2
The rate of water flowing into the tank should also be multiplied by the time.
You can also refer to the following test values to determine if your calculations are accurate:
Rate of water flowing into the tank = 5 m3
/s
Radius of outflowing pipe = 10 cm
Elapsed time = 30 s
Height = 1.911 m
Rate of water flowing into the tank = 50 m3
/s
Radius of outflowing pipe = 5 cm
Elapsed time = 1 s
Height = 0.637 m
Rate of water flowing into the tank = 2.5 m3
/s
Radius of outflowing pipe = 30 cm
Elapsed time = 60 s
Height = 1.907 m
Rate of water flowing into the tank = 5 m3
/s
Radius of outflowing pipe = 30 cm
Elapsed time = 60 s
Height = 2.500 m (overflowing)
Rate of water flowing into the tank = 0 m3
/s
Radius of outflowing pipe = 0 cm
Elapsed time = 0 s
Height = 0.000 m (empty)

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