Lab 5 Circular Motion & PHY250L
Student Name: Access Code (located on the underside of the lid of your lab kit): Lab Report Format Expectations
Utilize college level grammar and formatting when answering text based questions. Report all equations in a proper mathematical format, with the correct signs and symbols.
Submissions with incomplete or improperly formatted responses may be rejected.
Pre-Lab Questions
1.State the inverse square law in your own words.
The inverse square law is used to describe the distance between two objects based on the force
of gravity between them and the objects fixed positions
2.State the equation used to find the average velocity of an object traveling in uniform circular motion.
v = 2πr/T
3.Consider an object in orbit around the earth, such as a man made spacecraft or the moon. Are these objects accelerating?
These objects are accelerating. This is because as the moon moves farther away from the earth the more acceleration it will have. Or gravitational pull will affect the acceleration of the moon if
it moves closer to the earth. Lab 5 Circular Motion & PHY250L
EXPERIMENT 1: BALANCING CENTRIPETAL FORCE
Introduction Questions
1.Suppose an object rotates 15 times every 2 seconds. State the equation for the period of an object in circular motion in variable form, then calculate the period of rotation, ensuring you include the correct units. You must show your work for credit.
1: T=1/f
2: T=15rotations/2sec
3: T=7.5rotations per second
2.In this lab, you will be rotating a mass on one side of a string that is balanced by a second mass on the other end of the string (Figure 5). If you apply Newton's Second Law of Motion to mass 1, m1, and mass 2, m2, you can solve for the period of mass 1, which is
P=√❑
Below, derive this equation by using Newton’s Second Law. You must show all pertinent algebra
and mathematical steps for credit. Hint: assume m 1= 4m2. How is the centripetal force on m 1 related to the force of gravity on m2?
F=ma, ac=rv^2, Fc=m1/rv^2, Fg=m2g, M1=4m2, Fc=Fg, 4m2/v^2*r=m2g, 4/v^2*r=g, P=3.14^2r/g Lab 5 Circular Motion & PHY250L
Data and Observations
Input the time it took to conduct 15 revolutions and the corresponding period into the table below. Then use the equation in Question 2 of the experiment introduction to calculate the expected value of the period of rotation. In the final column, calculate a percent error between these two values.
Table 1. Rotational Data
mass.
Insert a photo of the apparatus you built for this experiment. The photo must clearly depict the correct number of washers and a length of line that is reasonable for the radius you denoted in the above table.
Your photo must also include your handwritten name. Submissions that do not contain a photo with these requirements will be rejected.Radius (m)Time per 15 revolutions (s)Period (s)ExpecFteigdure Value5P:eRrcoet
antting
Error (%)
0.2511.470.760.76460.61%
0.4012.850.860.85660.40%
0.157.100.470.4733070%
Student Name: Access Code (located on the underside of the lid of your lab kit): Lab Report Format Expectations
Utilize college level grammar and formatting when answering text based questions. Report all equations in a proper mathematical format, with the correct signs and symbols.
Submissions with incomplete or improperly formatted responses may be rejected.
Pre-Lab Questions
1.State the inverse square law in your own words.
The inverse square law is used to describe the distance between two objects based on the force
of gravity between them and the objects fixed positions
2.State the equation used to find the average velocity of an object traveling in uniform circular motion.
v = 2πr/T
3.Consider an object in orbit around the earth, such as a man made spacecraft or the moon. Are these objects accelerating?
These objects are accelerating. This is because as the moon moves farther away from the earth the more acceleration it will have. Or gravitational pull will affect the acceleration of the moon if
it moves closer to the earth. Lab 5 Circular Motion & PHY250L
EXPERIMENT 1: BALANCING CENTRIPETAL FORCE
Introduction Questions
1.Suppose an object rotates 15 times every 2 seconds. State the equation for the period of an object in circular motion in variable form, then calculate the period of rotation, ensuring you include the correct units. You must show your work for credit.
1: T=1/f
2: T=15rotations/2sec
3: T=7.5rotations per second
2.In this lab, you will be rotating a mass on one side of a string that is balanced by a second mass on the other end of the string (Figure 5). If you apply Newton's Second Law of Motion to mass 1, m1, and mass 2, m2, you can solve for the period of mass 1, which is
P=√❑
Below, derive this equation by using Newton’s Second Law. You must show all pertinent algebra
and mathematical steps for credit. Hint: assume m 1= 4m2. How is the centripetal force on m 1 related to the force of gravity on m2?
F=ma, ac=rv^2, Fc=m1/rv^2, Fg=m2g, M1=4m2, Fc=Fg, 4m2/v^2*r=m2g, 4/v^2*r=g, P=3.14^2r/g Lab 5 Circular Motion & PHY250L
Data and Observations
Input the time it took to conduct 15 revolutions and the corresponding period into the table below. Then use the equation in Question 2 of the experiment introduction to calculate the expected value of the period of rotation. In the final column, calculate a percent error between these two values.
Table 1. Rotational Data
mass.
Insert a photo of the apparatus you built for this experiment. The photo must clearly depict the correct number of washers and a length of line that is reasonable for the radius you denoted in the above table.
Your photo must also include your handwritten name. Submissions that do not contain a photo with these requirements will be rejected.Radius (m)Time per 15 revolutions (s)Period (s)ExpecFteigdure Value5P:eRrcoet
antting
Error (%)
0.2511.470.760.76460.61%
0.4012.850.860.85660.40%
0.157.100.470.4733070%
