# Angle and acceleration relationship

When graphed, the acceleration vs. sine (angle of incline) showed that the values had a linear relationship. The acceleration of an object down an incline is. To investigate the relationship between the angle of a slope incline and the acceleration of a model cart moving down it. Hypothesis: As the angle of the slope. Objectives/Goals. The purpose of this project is to determine the relation between the acceleration of a rolling object and the angle of inclination of a ramp.

At all times the ball has a "negative" southward acceleration. These features are all depicted in Graph D.

A golf ball is rolling across a horizontal section of the green on the 18th hole. It then encounters a steep downward incline see diagram. Which of the following ticker tape patterns A, B, or C might be an appropriate representation of the ball's motion? Explain why the inappropriate patterns are inappropriate. B is the correct answer. Tapes A and C can both be ruled out since they show the golf ball moving with constant velocity across the frictional surface.

The ball should be slowing down. Tape B shows an acceleration while moving down the hill which would be likely due to the presence of a parallel component of the weight vector.

Missy dePenn's eighth frame in the Wednesday night bowling league was a disaster. The ball rolled off the lane, passed through the freight door in the building's rear, and then down the driveway. Millie Meater Missy's teammatewho was spending every free moment studying for her physics test, began visualizing the velocity-time graph for the ball's motion. Which one of the velocity-time graphs A, B, C, or D would be an appropriate representation of the ball's motion as it rolls across the horizontal surface and then down the incline?

Graph D is the appropriate representation. The ball will slow down due to friction while moving across the level surface and it will speed up due to the parallel component of the weight vector while moving down the incline. Graph D depicts both of these features. Three lab partners - Olive N. Glenveau, Glen Brook, and Warren Peace - are discussing an incline problem see diagram.

They are debating the value of the normal force. Olive claims that the normal force is N; Glen claims that the normal force is N; and Warren claims that the normal force is N.

- Inclined Planes
- Acceleration and the Incline Angle
- The relationship between the angle of a slope incline and the acceleration Paper

While all three answers seem reasonable, only one is correct. Indicate which two answers are wrong and explain why they are wrong.

## Investigation into the relationship between acceleration and the angle of free fall downhill

Only Glen is correct. Warren is incorrect because he evidently believes that the normal force is equal to the force of gravity. This is only true on level surfaces when the normal force is the only up force. Here the normal force is perpendicular to the surface and equal to the perpendicular component of gravity's pull. Olive is incorrect because she has evidently used the wrong equation for computing the perpendicular component of the weight vector.

Sketch the parallel and perpendicular components of this weight vector. Determine the magnitude of the components using trigonometric functions. Then determine the acceleration of the tire. It should become very clear. Usable protractor, Ticker-tape timer with necessary wiringflat long wooden board, non-motorized wooden and wheeled trolley, a pile of books or something with height and stability to rest the wooden board on Variables: In this experiment I tried to keep all variables constant, with the exception of the angle of the slope which was changed twice.

The distance the cart descends, the surroundings, the cart used and board were all held constant throughout the trials. I have decided that in order to prove my hypothesis correct, I would need to use at least 3 different angles and use 2 trials for each angle to ensure validity.

The 3 angles I chose to investigate were 2. In order to record the acceleration for each, I would first need to have a complete record of the motion of the trolley. The dots that would be presented on the ticker-tape would be sufficient enough for me to then calculate the acceleration of the trolley in each case.

### Acceleration and the Incline Angle

The following 3 pages contain results of all three ticker-tapes. Also from those results I have constructed velocity-time graphs attached for all trials of all the angles. See following pages Analyzing results Finding acceleration: In order to analyze the results, we first marked off sections on the tape with 5 dot spaces. The lengths of the sections represent speeds because the trolley travels further in each 0. Side-by-side, the sections become a time scale because each section starts 0.

The acceleration of the trolley can be found from measurements on the tape. As I had predicted in my hypothesis, the angle of the slope is directly related to the acceleration of the trolley on the slope. My results strongly suggest that because the acceleration results for a bigger angle were significantly larger then the acceleration for a narrower angle.

I believe that the reason for this is due to the relationship between force and acceleration. If the force is larger, then the acceleration is also larger. The forces that were most important in this experiment were the forces of gravity and friction. Gravity pulls all objects down to the surface at an acceleration of 9. And the friction that the cart experienced was increased as the angle increased, making it come down at a greater acceleration.

### Inclined Planes

If the trolley was simply dropped next to the slope when the slope was at 90, then the trolley would accelerate to the ground at 9. However the angle was 0, orthen the trolley would not move or accelerate at all. Gravity would be affecting it due to the force of reaction canceling it out, and the horizontal surface beneath the trolley would prevent the trolley from moving. When the angle is at 25gravity affects the trolley enough to make it accelerate.

If you change the angle to 45i?? Therefore the trolley would come down at a faster acceleration. Evaluation When it comes to measuring the sources of error and uncertainties in this experiment, I doubt that there is little else to be done to cancel out any more errors. Since a mechanical device the ticker-timer did most of the measuring and recording for me, I am unable to be held responsible for any errors inside the machine itself.

There was no measurement of time with a stopwatch, however I when I cut up the pieces of the ticker timer tape to be analyzed, that is where errors could have been made.