Part 5 After the student pulls their arms in, calculate their new angular speed win Win = number (rtol=0.05, atol=1e-08) Part 6 rad/s If the student dropped both masses while turning with their arms outstretched, what angular speed wmassless would they have after letting go of the masses? Wmassless Part 7 number (rtol=0.05, atol=1e-08) rad/s After the student let go of the masses with their arms outstretched, what magnitude of linear momentum P mass would each mass carry away? Pmass number (rtol=0.05, atol=1e-08) kgm/s In class, we had a student standing on a platform with their arms outstretched while holding masses. The student was rotated in this position and then pulled their arms in and we observed how their angular velocity changed. For this problem we will assume that the student's torso has a cylindrical (rather than rectangular) cross-section with a radius of rt = 1.2m and mass m₁ = 69kg. The student's two arms have a total mass of ma = 12kg, a radius of ra,out = 0.8m when outstretched, and a radius of ra,in = 0.18m when held in. The student holds mm = 5kg masses in each hand. Treat the student's arms as point masses when held in and as thin rods when outstreched. The student's torso may be modelled as a solid cylinder with a height of ht = 1.7m. Part 1 Draw two diagrams for this problem showing the student before and after bringing their arms in. Save your diagams and "diagrams.pdf" and upload the file below. Drop files here or click to upload. Only the files listed below will be accepted-others will be ignored. The combined size limit of all uploaded files is 5MB. Files O diagrams.pdf not uploaded Part 2 Calculate the total moment of inertia of the student with their arms held in while holding the two masses I in. Iin number (rtol=0.05, atol-1e-08) Part 3 kgm² Calculate the total moment of inertia of the student with their arms outstretched while holding the two masses I out* Iout number (rtol=0.05, atol 1e-08) Part 4 kgm² If it takes the student At = 3.2s to fully rotate on a frictionless platform with their arms outstretched, calculate their angular speed wo Wout number (rtol=0.05, atol=1e-08) rad/s

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter9: Momentum And Its Conservation
Section: Chapter Questions
Problem 1STP
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Related questions
Question
Part 5
After the student pulls their arms in, calculate their new angular speed win
Win =
number (rtol=0.05, atol=1e-08)
Part 6
rad/s
If the student dropped both masses while turning with their arms outstretched,
what angular speed wmassless would they have after letting go of the masses?
Wmassless
Part 7
number (rtol=0.05, atol=1e-08)
rad/s
After the student let go of the masses with their arms outstretched, what
magnitude of linear momentum P mass would each mass carry away?
Pmass
number (rtol=0.05, atol=1e-08)
kgm/s
Transcribed Image Text:Part 5 After the student pulls their arms in, calculate their new angular speed win Win = number (rtol=0.05, atol=1e-08) Part 6 rad/s If the student dropped both masses while turning with their arms outstretched, what angular speed wmassless would they have after letting go of the masses? Wmassless Part 7 number (rtol=0.05, atol=1e-08) rad/s After the student let go of the masses with their arms outstretched, what magnitude of linear momentum P mass would each mass carry away? Pmass number (rtol=0.05, atol=1e-08) kgm/s
In class, we had a student standing on a platform with their arms outstretched while
holding masses. The student was rotated in this position and then pulled their arms in
and we observed how their angular velocity changed. For this problem we will assume
that the student's torso has a cylindrical (rather than rectangular) cross-section with a
radius of rt = 1.2m and mass m₁ = 69kg. The student's two arms have a total mass of
ma = 12kg, a radius of ra,out = 0.8m when outstretched, and a radius of ra,in = 0.18m
when held in. The student holds mm = 5kg masses in each hand. Treat the student's
arms as point masses when held in and as thin rods when outstreched. The student's
torso may be modelled as a solid cylinder with a height of ht = 1.7m.
Part 1
Draw two diagrams for this problem showing the student before and after bringing
their arms in.
Save your diagams and "diagrams.pdf" and upload the file below.
Drop files here or click to upload.
Only the files listed below will be accepted-others will be ignored.
The combined size limit of all uploaded files is 5MB.
Files
O diagrams.pdf
not uploaded
Part 2
Calculate the total moment of inertia of the student with their arms held in while
holding the two masses I in.
Iin
number (rtol=0.05, atol-1e-08)
Part 3
kgm²
Calculate the total moment of inertia of the student with their arms outstretched
while holding the two masses I out*
Iout
number (rtol=0.05, atol 1e-08)
Part 4
kgm²
If it takes the student At = 3.2s to fully rotate on a frictionless platform with their
arms outstretched, calculate their angular speed wo
Wout
number (rtol=0.05, atol=1e-08)
rad/s
Transcribed Image Text:In class, we had a student standing on a platform with their arms outstretched while holding masses. The student was rotated in this position and then pulled their arms in and we observed how their angular velocity changed. For this problem we will assume that the student's torso has a cylindrical (rather than rectangular) cross-section with a radius of rt = 1.2m and mass m₁ = 69kg. The student's two arms have a total mass of ma = 12kg, a radius of ra,out = 0.8m when outstretched, and a radius of ra,in = 0.18m when held in. The student holds mm = 5kg masses in each hand. Treat the student's arms as point masses when held in and as thin rods when outstreched. The student's torso may be modelled as a solid cylinder with a height of ht = 1.7m. Part 1 Draw two diagrams for this problem showing the student before and after bringing their arms in. Save your diagams and "diagrams.pdf" and upload the file below. Drop files here or click to upload. Only the files listed below will be accepted-others will be ignored. The combined size limit of all uploaded files is 5MB. Files O diagrams.pdf not uploaded Part 2 Calculate the total moment of inertia of the student with their arms held in while holding the two masses I in. Iin number (rtol=0.05, atol-1e-08) Part 3 kgm² Calculate the total moment of inertia of the student with their arms outstretched while holding the two masses I out* Iout number (rtol=0.05, atol 1e-08) Part 4 kgm² If it takes the student At = 3.2s to fully rotate on a frictionless platform with their arms outstretched, calculate their angular speed wo Wout number (rtol=0.05, atol=1e-08) rad/s
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