How Many Strides on a Moving Sidewalk?

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SUMMARY

The discussion revolves around a physics problem involving a passenger walking on a moving sidewalk. The passenger walks at a speed of 3.0 km/h relative to the sidewalk, which moves at 1.0 km/h. The length of the sidewalk is 135 m, and the passenger takes 122 seconds to traverse it, saving 40 seconds compared to walking beside it. The key challenge is determining the distance walked relative to the moving sidewalk and calculating the number of strides taken, given a stride length of 90 cm.

PREREQUISITES
  • Understanding of relative motion concepts
  • Basic knowledge of speed, distance, and time calculations
  • Familiarity with stride length and its application in motion problems
  • Ability to convert units (e.g., meters to centimeters)
NEXT STEPS
  • Learn how to calculate relative motion in physics problems
  • Study the concept of stride length and its impact on distance covered
  • Explore the relationship between speed, distance, and time in moving objects
  • Practice similar physics problems involving moving sidewalks or conveyor belts
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and relative motion, as well as educators seeking to clarify concepts related to motion on moving surfaces.

shealya
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Homework Statement



A passenger rushing to catch a plane at the airport walks on a moving sidewalk at a speed of 3.0 km/h relative to the sidewalk in the direction that the sidewalk is moving. The sidewalk is 135 m long and moves with a steady velocity of 1.0 km/h.

The question has 4 parts:
  1. 1. How long (in s) does it take for the passenger to get from one end of the sidewalk to the other, that i *to cover the 135 m? I found this to be 122s.
  2. How much time does the passenger save by taking the moving sidewalk instead of just walking beside it? Here, I found out by walking, it takes 162s to walk beside it, leaving a 40s difference in time.
  3. Through what distance does the passenger walk relative to the moving sidewalk? I haven't figured this one out becasue I have no idea what its even asking (yes, I know you're not supposed to say that but honestly, I don't understand what my professor is looking for).
  4. and 4, the one that I have an issue on. "If the passenger has a stride of 90cm, how many steps are taken in going from one end of the moving sidewalk to the other?"

***ALL OF THESE QUESTIONS WERE COPIED AND PASTED FROM THE COMPUTER PROGRAM***

Homework Equations



none that i can think of to apply

The Attempt at a Solution


Since I'm really posting on here for the last part, here's what I did.

I converted 135 m (length of the sidewalk) to 13,500 cm, since the length of the stride is in cm. So then, I did 13,500cm/90cm and got 150. The computer program that my professor uses for homework said that was wrong. Then figuring that a "stride" was the length between two steps, so then I divided 150 by 2 (for 2 steps) and got 75, which was also wrong.

If anyone wants to help on what the third part is even asking (like i said, I know you're supposed to attempt them on your own but I seriously do not even understand what it is asking.)​
 
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Here are my thoughts:
First figure out what is the time between steps. Then what is the stride, relative to the ground, considering how fast the person and sidewalk is moving. Obviously the stride will be longer. Now divide the length of the sidewalk by the length of the stride.
 
The key to part 4 is part 3 :smile:

The passenger is walking along a surface. That surface happens to moving with respect to something else (the ground), but ignore that. Concentrate on the person walking and the surface he's walking on as if they were the only thing in existence. You've figured out the time he spends walking on the surface in (1). You're given the speed with which he walks on the surface. So what distance does he walk on the surface?

Then for (4), if you know the distance walked from (3) and the stride length, how many strides make that distance?
 

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