Purpose
The purpose of this lab is to understand and solve for the coefficent of kinetic friction between an object and a surface and to find the tension by using a real life example
Materials
wooden box
string
frictionless pulley
inclined plane
weights
motion detector
string
frictionless pulley
inclined plane
weights
motion detector
Procedure
The independent variables in the experiment were m1 and m2 which were the weights and the dependent variable is the coefficient friction of µ
The first part of the lab was to write a formula for the acceleration of the objects
and to solve for friction and µ with only using variables.
Next we started the experiment after solving for the formulas
The experiment involved hanging a mass, m1 off of an inclined plane using a string
attached to a box with mass m2 which was held on the inclined plane.
A motion detector, was used to electronically track and measure the position of
the box relative to time.
Using LoggerProData on the PC we were able to load the data from the motion detector, and as a result we calculated the numerical values of acceleration, frictional force, and µ
Last we solved for the angle Θ by finding the arctan of the horizontal length
of the inclined plane and then divided by the vertical height of the same plane
The first part of the lab was to write a formula for the acceleration of the objects
and to solve for friction and µ with only using variables.
Next we started the experiment after solving for the formulas
The experiment involved hanging a mass, m1 off of an inclined plane using a string
attached to a box with mass m2 which was held on the inclined plane.
A motion detector, was used to electronically track and measure the position of
the box relative to time.
Using LoggerProData on the PC we were able to load the data from the motion detector, and as a result we calculated the numerical values of acceleration, frictional force, and µ
Last we solved for the angle Θ by finding the arctan of the horizontal length
of the inclined plane and then divided by the vertical height of the same plane
Data
austin_jord_james_trial_1.cmbl | |
File Size: | 19 kb |
File Type: | cmbl |
austin_jord_james_trial_2.cmbl | |
File Size: | 19 kb |
File Type: | cmbl |
austin_jord_james_trial_3.cmbl | |
File Size: | 19 kb |
File Type: | cmbl |
Analysis
From the LoggerProData we found two accelerations of . 2772 and . 2806 the two results are close together in value so we can conclude that our data is accurate. We did have an acceleration of . 3820 in our first trail and we are going to disregard this data in our conclusional value because it seems to be an outlier caused by human error or elctronic error.
Conclusion
In our experiment we used a real life experiment to solve for an average rate of acceleration and with the two values that were used we could conclude that our formula below may be used to solve for the µ of friction in our experiment.
µ = a (M2 - M1) + mg - mgsin(Θ)
mgcos(Θ)
µ = a (M2 - M1) + mg - mgsin(Θ)
mgcos(Θ)