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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?
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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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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.
expand button
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.
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Follow-up Question

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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.
expand button
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.
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