Calculate the height of a building using scale measurements

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SUMMARY

The discussion focuses on calculating the height of a building using scale measurements taken during an elevator ride. The scale readings include m1 (normal weight), m2 (weight during acceleration), and m3 (weight during deceleration). Participants suggest using kinematic equations such as v = v0 + at, x = x0 + v0t + (1/2)at², and d = vt to derive the height. The approach involves determining the time of acceleration and deceleration phases to compute the building's height accurately.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Basic knowledge of trigonometry, specifically tangent functions
  • Familiarity with concepts of acceleration and deceleration
  • Ability to interpret scale measurements in a physics context
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  • Research how to apply kinematic equations to variable acceleration scenarios
  • Learn about the relationship between weight measurements and acceleration
  • Study the principles of motion in elevators and their effects on scale readings
  • Explore advanced trigonometric applications in real-world measurement problems
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Students in physics, engineers working on elevator systems, and anyone interested in practical applications of kinematics and measurement techniques.

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Homework Statement


Supposedly, I put an object on a scale inside the elevator of a building, the scale reads m1. I start the elevator to the top of the building, during acceleration, the scale reads m2. As the elevator normalized, the scale reads m1. During the deceleration at the top, the scale reads m3. The entire ride lasted t seconds. I am asked to calculate the height of the building using this data.

Homework Equations


I am not sure if these are all the equations i need:

v = (v0) + at
x = (x0) + (v0)t + (1/2)a(t^2)
(v^2) = (v0)^2 + 2a(x-(x0))

The Attempt at a Solution


I have calculated the height of the building using trigonometry by using a protractor to find the angle from a point on the ground to the top of the building. Using that angle and a distance d on the ground, I was able to find the height using tan θ = y/d .
But I'm not sure how to use the scale data to get the height of the building.
 
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I think you've got it with those equations plus good old d = vt (which applies for most of the ride). It will be tricky to do the accelerated motion at the beginning and end since you don't know their times. I would suggest assuming time t1 for the acceleration phase. Likely you will be able to calculate the deceleration time from that and the mass (weight?) measurements, from which the accelerations can be found. Who knows, maybe the t1 will disappear in the final answer.
 

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