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![Use the value g = 9.81 [m/s^2].
Carl is testing how the frequency of oscillation w of a uniform stick
varies as the distance of pivot point from the stick's center of mass d
is changed. The stick has mass m.
A. The table below shows the result of Carl's measurements. In the
table, g is acceleration due to gravity. Convert these measurements
to Sl units.
w (in 1/s)
1.713
2.431
2.977
3.428
3.841
m gd (in lb ft^2 /s^2)
23.211
46.420
69.675
92.896
116.086
▪
B. Use dimensional analysis to find an expression for w in terms of
m, g, d, and some extra variable I.
C. From your expression of w, what is the unit of I?](https://content.bartleby.com/qna-images/question/a51da1ad-c452-49d1-b1bb-eeb435d05dd4/9b819658-6415-4f7d-bd25-4c129c3057d0/gr8r8i_processed.png)
Transcribed Image Text:Use the value g = 9.81 [m/s^2].
Carl is testing how the frequency of oscillation w of a uniform stick
varies as the distance of pivot point from the stick's center of mass d
is changed. The stick has mass m.
A. The table below shows the result of Carl's measurements. In the
table, g is acceleration due to gravity. Convert these measurements
to Sl units.
w (in 1/s)
1.713
2.431
2.977
3.428
3.841
m gd (in lb ft^2 /s^2)
23.211
46.420
69.675
92.896
116.086
▪
B. Use dimensional analysis to find an expression for w in terms of
m, g, d, and some extra variable I.
C. From your expression of w, what is the unit of I?
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Follow-up Question
Follow up question:
Please answer letter d. And kindly provide a clear and complete solution thank you!
![Use the value g = 9.81 [m/s^2].
Carl is testing how the frequency of oscillation w of a uniform stick
varies as the distance of pivot point from the stick's center of mass d
is changed. The stick has mass m.
A. The table below shows the result of Carl's measurements. In the
table, g is acceleration due to gravity. Convert these measurements
to Sl units.
w (in 1/s)
1.713
2.431
2.977
3.428
3.841
m gd (in lb. ft^2 /s^2)
23.211
46.420
69.675
92.896
116.086
B. Use dimensional analysis to find an expression for w in terms of
m, g, d, and some extra variable I.
C. From your expression of w, what is the unit of I?
D. After analyzing the motion of the stick, Carl found out that the
angular displacement of the stick can be expressed by e(t) = A
cos(wt + p), where A is the amplitude of oscillation, t is time, and
describes the stick's initial phase. Does have any unit? Explain.](https://content.bartleby.com/qna-images/question/a51da1ad-c452-49d1-b1bb-eeb435d05dd4/2ea03e9f-c229-44a7-8d43-75927baeadb3/7voms2_processed.png)
Transcribed Image Text:Use the value g = 9.81 [m/s^2].
Carl is testing how the frequency of oscillation w of a uniform stick
varies as the distance of pivot point from the stick's center of mass d
is changed. The stick has mass m.
A. The table below shows the result of Carl's measurements. In the
table, g is acceleration due to gravity. Convert these measurements
to Sl units.
w (in 1/s)
1.713
2.431
2.977
3.428
3.841
m gd (in lb. ft^2 /s^2)
23.211
46.420
69.675
92.896
116.086
B. Use dimensional analysis to find an expression for w in terms of
m, g, d, and some extra variable I.
C. From your expression of w, what is the unit of I?
D. After analyzing the motion of the stick, Carl found out that the
angular displacement of the stick can be expressed by e(t) = A
cos(wt + p), where A is the amplitude of oscillation, t is time, and
describes the stick's initial phase. Does have any unit? Explain.
Solution
by Bartleby Expert
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Follow up question:
Please answer letter d. And kindly provide a clear and complete solution thank you!
Transcribed Image Text:Use the value g = 9.81 [m/s^2].
Carl is testing how the frequency of oscillation w of a uniform stick
varies as the distance of pivot point from the stick's center of mass d
is changed. The stick has mass m.
A. The table below shows the result of Carl's measurements. In the
table, g is acceleration due to gravity. Convert these measurements
to Sl units.
w (in 1/s)
1.713
2.431
2.977
3.428
3.841
m gd (in lb. ft^2 /s^2)
23.211
46.420
69.675
92.896
116.086
B. Use dimensional analysis to find an expression for w in terms of
m, g, d, and some extra variable I.
C. From your expression of w, what is the unit of I?
D. After analyzing the motion of the stick, Carl found out that the
angular displacement of the stick can be expressed by e(t) = A
cos(wt + p), where A is the amplitude of oscillation, t is time, and
describes the stick's initial phase. Does have any unit? Explain.
Solution
by Bartleby Expert
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