(e) 40 rad s 6. During a pirouette a figure skater reduces her moment of inertia from I = 1.24 kg m2 to I2 = 0.25 kg m2 by pulling in her arms. If she rotates with an angular speed of 0.5 rad s-1, before pulling in her arms, what is her final angular speed when she %3D Wi %3D finished the process? (a) 2.48 rad s-2 (b) 0.10 rad s-2 (c) 0.40 rad s-2 (d) 9.92 rad s-2 (e) 0.50 rad s-2 of the same mass and radius roll down an incline,

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11th Edition
ISBN:9781305952300
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Publisher:Raymond A. Serway, Chris Vuille
Chapter8: Rotational Equilibrium And Dynamics
Section: Chapter Questions
Problem 68P: A 60.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 500 kg m2...
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Please answer question 6 with all steps thank you!
1. Determine the moment of inertia I of the Earth on its path around the Sun. Use the
following values:
Mass of the Earth: Mp = 6· 1024 kg
Radius of the Earth's orbit around the Sun: RES = 150 · 106 km
(a) I = 1.35 · 1041 kg m²
(b) I= 5.4 · 1046 kg · m2
(c) I= 6.75 1046 kg · m²
(d) I = 1.35 · 1047 kg · m²
2. Consider problem 1 above. How would the value you found for I change if the Earth's
year were only half as long (i.e. 182.5 days instead of 365 days)?
(a) The value of I would double.
(b) The value of I would be half.
(c) The value of I would not change.
(d) The value of I would quadruple.
(e) The value of I would be one quarter.
3. Consider problem 1 above. How would the value you found for I change if the radius
of the Earth's path around the Sun would be only half as large (i.e. 75 · 106 km
instead of 150 · 106 km)?
94
Transcribed Image Text:1. Determine the moment of inertia I of the Earth on its path around the Sun. Use the following values: Mass of the Earth: Mp = 6· 1024 kg Radius of the Earth's orbit around the Sun: RES = 150 · 106 km (a) I = 1.35 · 1041 kg m² (b) I= 5.4 · 1046 kg · m2 (c) I= 6.75 1046 kg · m² (d) I = 1.35 · 1047 kg · m² 2. Consider problem 1 above. How would the value you found for I change if the Earth's year were only half as long (i.e. 182.5 days instead of 365 days)? (a) The value of I would double. (b) The value of I would be half. (c) The value of I would not change. (d) The value of I would quadruple. (e) The value of I would be one quarter. 3. Consider problem 1 above. How would the value you found for I change if the radius of the Earth's path around the Sun would be only half as large (i.e. 75 · 106 km instead of 150 · 106 km)? 94
M-8: Rotational Motion
(a) The value of I would double.
(b) The value of I would be half.
(c) The value of I would not change.
(d) The value of I would quadruple.
(e) The value of I would be one quarter.
4. Consider the sketch of the setup for this experiment above. Assume that the tension
in the string running over the pulley is T = 10N and the radius of the pulley is
R = 10 cm. The torque acting on the pulley is
(a) 100 N m
(b) 10N m
(c) 1Nm
(d) 0.1 N m
(e) 0.01 N m
5. Consider problem 4 above. Assuming the pulley is a cylindrical, solid disk of mass
M = 5 kg, the angular acceleration of the pulley is closest to
(a) 0.2 rad s-2
(b) 2 rads-2
(c) 4 rads-2
(d) 20 rad s-2
(e) 40 rad s-2
6. During a pirouette a figure skater reduces her moment of inertia from I = 1.24 kg m2
to I2 = 0.25 kg m? by pulling in her arms. If she rotates with an angular speed of
wi = 0.5 rad s-1, before pulling in her arms, what is her final angular speed when she
finished the process?
(a) 2.48 rad s-2
(b) 0.10 rad s-2
(c) 0.40 rad s-2
(d) 9.92 rad s-2
(е) 0.50 гаd s-2
7. A solid disk and a thin-walled ring of the same mass and radius roll down an incline.
starting from rest and from the same height. Which of these objects will reach the
bottom of the incline with a higher speed?
(a) The ring.
(b) The disk.
(c) Both will reach the bottom with the same speed.
95
Transcribed Image Text:M-8: Rotational Motion (a) The value of I would double. (b) The value of I would be half. (c) The value of I would not change. (d) The value of I would quadruple. (e) The value of I would be one quarter. 4. Consider the sketch of the setup for this experiment above. Assume that the tension in the string running over the pulley is T = 10N and the radius of the pulley is R = 10 cm. The torque acting on the pulley is (a) 100 N m (b) 10N m (c) 1Nm (d) 0.1 N m (e) 0.01 N m 5. Consider problem 4 above. Assuming the pulley is a cylindrical, solid disk of mass M = 5 kg, the angular acceleration of the pulley is closest to (a) 0.2 rad s-2 (b) 2 rads-2 (c) 4 rads-2 (d) 20 rad s-2 (e) 40 rad s-2 6. During a pirouette a figure skater reduces her moment of inertia from I = 1.24 kg m2 to I2 = 0.25 kg m? by pulling in her arms. If she rotates with an angular speed of wi = 0.5 rad s-1, before pulling in her arms, what is her final angular speed when she finished the process? (a) 2.48 rad s-2 (b) 0.10 rad s-2 (c) 0.40 rad s-2 (d) 9.92 rad s-2 (е) 0.50 гаd s-2 7. A solid disk and a thin-walled ring of the same mass and radius roll down an incline. starting from rest and from the same height. Which of these objects will reach the bottom of the incline with a higher speed? (a) The ring. (b) The disk. (c) Both will reach the bottom with the same speed. 95
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