Lab 5: Trajectories
Author: Tian Cih Jiao
Lab Partners: Weisheng Zhang, Kitarou
Date: March 15, 2017
Purpose of the lab: To use our understanding of projectile motion to predict the impact point of a ball on an inclined board.
Theory/Introduction:
For the first part, we drop the ball from the high place then let the ball go following the channel then fall to the paper put on the floor, then the ball will create a point on the paper. We did this for 5 times for the part 1. Then we got the height and distance and also the angel of the ramp, then we calculate the result to predict the ideal result for the next part.
For the second part, the ball is dropped in the exact same pattern, but in this part, the ball is not falling to the ground but on a ramp wood next to the table with a new angel. There is a new paper put on the wood to record points created by ball. Then we got the result from this part which is the real result then we compare it with what we predicted in part 1.
For the first part, we drop the ball from the high place then let the ball go following the channel then fall to the paper put on the floor, then the ball will create a point on the paper. We did this for 5 times for the part 1. Then we got the height and distance and also the angel of the ramp, then we calculate the result to predict the ideal result for the next part.
For the second part, the ball is dropped in the exact same pattern, but in this part, the ball is not falling to the ground but on a ramp wood next to the table with a new angel. There is a new paper put on the wood to record points created by ball. Then we got the result from this part which is the real result then we compare it with what we predicted in part 1.
Summary of apparatus/experimental procedure: Aluminum “v-channel”, steel ball, board, ring stand, clamp, paper, carbon paper
For Part 1 on the ground:
For Part 2 on the wood:
Measured data:
For both parts:
The height of the table is measured to be 0.94 +/- 0.001m.
The angle of the channel is measured to be 12 +/- 2o.
For the first part:
The distances from the edge the table are:
0.54, 0.543, 0.55, 0.555, 0.558 +/- 0.0001m
The average distance is (0.54 + 0.543 + 0.55 + 0.555 + 0.558) / 5 = 0.5492m.
For the second part:
The angle of the leaning wood is 48 +/- 2o from the ground
The distances from the edge of the wood leaning towards the table are:
0.546, 0.564, 0.57, 0.576, 0.609 +/- 0.0001m
Calculated result(s)/Graph:
h is the height of the channel
V0x is the velocity where it launches off the table
d is the distance from the top of the wooden ramp to where the ball drops
Eventually we are calculating for the propagated uncertainty of d
h is the height of the channel
V0x is the velocity where it launches off the table
d is the distance from the top of the wooden ramp to where the ball drops
Eventually we are calculating for the propagated uncertainty of d
Analysis:
In this lab, we measure the ball dropping location and the height, then we use equation to find the ideal result to compare with ours. There are still some uncertainty like friction of channel, air friction, and some measurement errors.
Conclusion:
Our result compare to the calculated ideal result is very close. We did the dropping process for 5 times for each to make the uncertainty smaller.
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