Is Stair Climbing Acceleration Dependent on Distance and Time Squared?

In summary, the conversation discusses the relationship between acceleration (a), distance (d), and time (t). The formula a= d/t^2 is mentioned, and it is clarified that this is not always applicable to stair climbing as most people do not climb stairs with increasing speed. The concept of gravity is also brought up, but it is noted that it is just one of the forces acting on a stair climber and does not directly affect the acceleration formula.
  • #1
p75213
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a= d/t^2. Therefore is it the case that the acceleration involved in stair climbing is the distance of the slope divided by the time^2? Where does gravity fit into it?
 
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  • #2
p75213 said:
a= d/t^2.
Where did you get that relationship? For uniform acceleration starting from rest, the acceleration would be: 2d/T^2.

In general, a ≡ Δv/Δt.
Therefore is it the case that the acceleration involved in stair climbing is the distance of the slope divided by the time^2?
No. Most folks don't climb stairs with increasing speed.
Where does gravity fit into it?
It doesn't. Gravity is just one of the forces acting on the stair climber.
 

1. What exactly is stair climbing acceleration?

Stair climbing acceleration is the rate at which an object moving on stairs increases its velocity. It is a measure of how quickly the object is gaining speed while climbing up or down the stairs.

2. How is stair climbing acceleration calculated?

Stair climbing acceleration can be calculated by dividing the change in velocity by the change in time. This can be represented by the formula a = (vf - vi)/t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval.

3. What factors can affect stair climbing acceleration?

There are several factors that can affect stair climbing acceleration, including the weight and mass of the object, the angle and length of the stairs, and the friction between the object and the stairs. Other factors such as air resistance and gravitational pull may also play a role.

4. How does stair climbing acceleration differ from regular acceleration?

Stair climbing acceleration is a type of linear acceleration, meaning it occurs in a straight line. Regular acceleration, on the other hand, can occur in any direction and is measured by how quickly an object's velocity changes over time. Stair climbing acceleration is specific to the act of climbing stairs, while regular acceleration can occur in any type of motion.

5. Can stair climbing acceleration be increased or decreased?

Yes, stair climbing acceleration can be increased or decreased depending on various factors such as the force applied, the angle of the stairs, and the weight of the object. For example, a person can increase their stair climbing acceleration by taking larger and faster steps, while carrying a heavy load can decrease their acceleration. Additionally, using handrails or wearing shoes with good traction can also affect stair climbing acceleration.

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