Inclined treadmills and Galilean Invariance

[A.T.]

TL;DR

A Steve Mould video about inclined treadmills and Galilean Invariance:

This has been discussed many times on PF, and will likely come up again, so the video might come handy.



Previous threads:

L

High School Thread 'Is a treadmill incline just a marketing gimmick?'

Jan 22, 2018

Makers of fitness treadmills usually include an adjustment for the treadmill surface incline. This allows the running surface to be tilted upward by a maximum of 10-15 degrees and it is supposed to simulate a more strenuous run up a hill.

But how can this be more strenuous? The runner is stationary and remains at the same height as the treadmill track moves under him. No work is being done against gravity. It is like climbing up on a down escalator. As the foot is placed up on the step the step then moves downward.

Is a treadmill incline just a marketing ruse that actually has no...

• LAP3141
• Incline
• Replies: 20
• Forum: Mechanics

H

Undergrad Thread 'Work done running on an inclined treadmill'

Oct 8, 2017

Why does it cost roughly the same effort to run against an inclined treadmill as up a hill of the same inclination? That is neglecting the movement of the legs and the bobbing up and down as we run and the wind resistance. I remember being told in school physics that there is no work done unless a mass is accelerated or raised. To a first approximation, on a treadmill we do not ascend and we do not accelerate.
When running up a hill you are going up. So the treadmill should be nearly effortless as you are not raising a weight hence not doing work. Of course it is not effortless so where is...

• harrylentil
• Dynamics kinematics Inclined Running Work Work done
• Replies: 131
• Forum: Mechanics

J

Undergrad Thread 'How do we calculate the energy we used to do something?'

May 3, 2023

Usually, I like to take a physical approach to phenomena that occur in everyday life. But I feel difficult to solve problems because I don't have higher education

My question stems from this question (What's the difference between running up a hill and running up an inclined treadmill?), which is similar to this one, but a little different.

Assume the following circumstances.

Factors such as air resistance are not considered.

There are two identical people, A and B. A is riding on an execise bike, which is fixed to the ground, and B is riding on a road bike. Press the pedal at...

• John Constantine
• Energy Energy conversion Newton mechanics Rotating
• Replies: 10
• Forum: Thermodynamics