Question

A steel tank has a capacity of 0.38 m ^ 3 and an empty weight of 222 N.
If we fill it with gasoline (674 kg / m ^ 3), calculate:
a- the weight of the tank when it is full of gasoline
b- if the density of the salt water is 1030 kg / m ^ 3,
Will the tank float if we put it in the salt water?

Answer 1

Solution:

Volume of steel tank

Empty tank weight

(a) The gasoline has a weight of . So, if we fill the gasoline into the tank, the weight of the gasoline required to fill the tank is

.

Now the total weight of the tank with gasoline is

(b) The density of sea water is . So inorder to float the upthrust experiend must be greater than or equal to the Weight of the tank acting downwards.

Weight acting downwards

  

The upthrust is given by,

.   

Thus W>F, so the tank will not float It will sink in the salt water.