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14.01.2020 •
Physics
What is the formula for finding the time it takes for an object to reach terminal velocity?
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Ответ:
Explanation:
Terminal velocity is the maximum velocity attained by a body when the net upward force on it is equal to the net downward force as it falls through a fluid from a certain height.
The time required to reach terminal velocity is infinite as the object never reaches absolute terminal velocity and always approaches terminal velocity.
The velocity
of a falling object expressed in terms of terminal velocity
and time 't' is given as:
Where,
is a constant and has units of time.
Now, expressing the above in terms of time 't', we get:
Therefore, the formula to find time to approach terminal velocity is:
When the velocity is 76% of terminal velocity, the time taken is
.
When the velocity is 96% of terminal velocity, the time taken is
.
When the velocity is 99.5% of terminal velocity, the time taken is
and so on..
Ответ: