Calculating Acceleration on an Inclined Surface: Simplifying Factors and Methods

In summary, the conversation discusses designing an experiment to investigate the relationship between the angle of incline of a surface and the acceleration of a toy car moving down it. The individual plans to use a stopwatch and is seeking advice on how to calculate the acceleration without accounting for air resistance and friction. Suggestions are made to use equations such as F=ma and Suvat equations, and to measure distance and time using a stopwatch. The conversation ends with the individual thanking for the advice.
  • #1
Svensken
29
0

Homework Statement



Hello!

I was thinking about designing an experiment in which i would investigate the angle of incline of a surface and the acceleration of a toy car moving down it. I will most likely be using a stopwatch. My question is:
How should i go about calculating the acceleration without having to account for air ressistance and friction etc - or do i have t do that? I want to keep it relatively simple.

Homework Equations



F=ma
delta V/ delta t = acceleration
Suvat equations?

The Attempt at a Solution



I was thinking about simply taking the time and the displacement (42cm)and using this.
Possibly suvat equations but i really don't know?

Thanks!
 
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  • #2
At an angle θ, the weight, mg, has components mgsinθ and mgcosθ. If you are neglecting all friction (inc. the one due to the surface), then only one force acts parallel to the incline, which is mgsinθ. So the acceleration will be constant for an angle θ.
 
  • #3
Well thank you. However i cannot simply use a formula us such. I wish to derive it using for example, a stopwatch. Any ideas?

Thanks again
 
  • #4
Svensken said:
Well thank you. However i cannot simply use a formula us such. I wish to derive it using for example, a stopwatch. Any ideas?

Thanks again

you could measure the distance down the incline and then time it from the top to the bottom. s=ut+1/2at2 which will simplify to s=1/2at2 and find 'a'.
 
  • #5
Thank you, i will do so!
 

FAQ: Calculating Acceleration on an Inclined Surface: Simplifying Factors and Methods

What is incline?

Incline, also known as slope, is the angle at which a surface is tilted or slanted.

What is acceleration?

Acceleration is the rate at which an object's velocity changes over time. It is measured in meters per second squared (m/s²).

How are incline and acceleration related?

Incline can affect the acceleration of an object. If an object is on an incline, gravity will pull it down the slope, causing it to accelerate. The steeper the incline, the faster the acceleration.

What is the formula for calculating acceleration on an incline?

The formula for calculating acceleration on an incline is a = gsinθ, where a is the acceleration, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the incline.

What are some real-life examples of incline and acceleration?

Some real-life examples of incline and acceleration include a car going up or down a hill, a roller coaster going up or down a steep drop, and a skier going down a slope. In each of these scenarios, the incline affects the acceleration of the object.

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