Calculating Acceleration on an Inclined Surface: Simplifying Factors and Methods

AI Thread Summary
The discussion focuses on designing an experiment to measure the acceleration of a toy car on an inclined surface while simplifying calculations by neglecting air resistance and friction. The user seeks to calculate acceleration using basic measurements like time and displacement, specifically considering a distance of 42 cm. Key equations mentioned include F=ma and the SUVAT equations, with a suggestion to derive acceleration from the formula s=1/2at². The conversation emphasizes using a stopwatch for timing the descent to simplify the process. Overall, the method aims to keep the experiment straightforward while accurately measuring acceleration.
Svensken
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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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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.
 
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
 
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'.
 
Thank you, i will do so!
 
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