Question

Is Archimedes' principle valid in an elevator accelerating up? In a car accelerating on a level road?

Answer 1

Answer ⇒ No, Archimedes Principle does not depends valid in the casde when elevator is accelerating up.

Explanation ⇒ The Archimedes principle states that when a liquid is fully or partially submerged in a liquid, then it experiences an force cal;led as upthrust, which is equal to the loss in weight of the body.  

Now, In case we are talking about the elevator which is accelerating up, the weight of the container and the weight of the fluid will be different from there true weight.

Let us assume that the mass of the container in which fluid is get be m.

∴ Weight of the body = m × (g + a)

Also, Buoyant force  = m'(g+a) where m' is the mass of the liquid displaced.

Now, both the conditions are not equal, So the Archimedes' principle is not valid in case of the elevator is accelerating up.

Hope it helps.

Answer 2

According to principle of Archimedes',

force of Buoyant B = mg

In the situation of a car driving on a level road the above definition is fulfilled.

Explanation:

• The theory of Archimedes is not true for an elevator that accelerates upwards but it is true for a car that accelerates on a level path.

• According to principle of Archimedes',

force of Buoyant, B = substituted liquid weight

B = mg

In the situation of a car driving on a level road the above definition is fulfilled.

• The force of buoyant in the situation of an elevator shall be just as below:

B = mg + ma  (when the elevator goes up with such an acceleration a)

So the theory of Archimedes is not applicable in this situation.

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