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Question

Periodic Table Question 11 of 15 Incorrect X Incorrect Incorrect Incorrect IncorrectIncorreatIncorrect Map dob Sapling Learning You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to a report on the benefits of ng the elevators. One of the numbers that they have requested s the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elévators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate at greater than 3.90 m/s2 or travel faster than 15.3 m/s, what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor? Number

Explanation / Answer

Use v = u + at

v = 15.3 m/s and u = 0 m/s

a = 3.9 m/s2

=> 15.3 = 0 + 3.9t

=> t = 3.923s

and in this time, the vertical distance traveled will be:

S = ut + (1/2)at2 = 0 + (1/2)(3.9)(3.923)2 = 30.011 m.

The remaining distance D = 373 - 30.011 = 342.988 m must be covered with speed v = 15.3 m/s

so. t' = 342.988/15.3 = 22.417s

therefore, T = t + t' = 26.34s

this is the minimum time it takes to cover 373 meters with the permissible acceleration and maximum velocity.

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