How do I find the acceleration of gravity

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SUMMARY

The discussion focuses on calculating the acceleration due to gravity (g) using experimental data collected from a ramp setup. The user has gathered measurements including the height, angle, and length of the ramp, and has recorded the time taken for a cart to travel down the ramp. The teacher's advice to "extrapolate" suggests that the user should analyze the component of gravitational force acting along the slope, which requires applying trigonometric principles to resolve the forces involved. The user seeks guidance on how to effectively calculate g from these measurements.

PREREQUISITES
  • Understanding of kinematic equations, specifically y = 0.5*g*t² and y = (v² - v₁²) / (2*g)
  • Familiarity with gravitational force equations, including Fg = m*g and F = G*m₁*m₂/d²
  • Basic knowledge of trigonometry, particularly resolving forces along an inclined plane
  • Experience with experimental physics and data collection methods
NEXT STEPS
  • Learn how to resolve forces on an inclined plane using trigonometric functions
  • Study the concept of gravitational acceleration and its variations with altitude
  • Explore the use of kinematic equations in experimental physics
  • Investigate methods for measuring acceleration using timing and distance data
USEFUL FOR

Physics students, educators, and anyone interested in experimental mechanics and the calculation of gravitational forces in real-world scenarios.

Vodkacannon
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I need to find the acceleration of gravity in my area (I live 287 meters above sea level.)

I know that y = 0.5*g*t2, y=(v22-v12)/2*g, fg=m*g, and F= G*m1*m2/d^2

I placed a ramp at an arbitrary angle. I found the height of the ramp, the angle of the ramp, and the length of the ramp.
I placed a cart on the ramp and let it run down to the end of the ramp, timing the whole trip.
I've got all this data and I'm not sure how I would calculate g, for it is a vertical force and my ramp is somewhere in-between 90 and 45 degrees.
(I have messed around with trig. but got no where).

You see I haven't given you all of the data, I'm not looking for the exact answer I just need a general statement on how to find g in this situation.

My teacher gave me a hint, he said to "extrapolate."
 
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The acceleration you measured down the slope is due to that component of gravity that acts down the slope. Draw the diagram and show us what trig you used and perhaps we can see the error.
 

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