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(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 rads-2 (e) 40 rads-2 inortio from L= 1.24 kg m2

(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 rads-2 (e) 40 rads-2 inortio from L= 1.24 kg m2

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please answer question number 5 with all steps thank you!
**M-8: Rotational Motion** 3. (Continue from a previous question context) (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 \( T = 10 \, \text{N} \) and the radius of the pulley is \( R = 10 \, \text{cm} \). The torque acting on the pulley is (a) \( 100 \, \text{Nm} \) (b) \( 10 \, \text{Nm} \) (c) \( 1 \, \text{Nm} \) (d) \( 0.1 \, \text{Nm} \) (e) \( 0.01 \, \text{Nm} \) 5. Consider problem 4 above. Assuming the pulley is a cylindrical, solid disk of mass \( M = 5 \, \text{kg} \), the angular acceleration of the pulley is closest to (a) \( 0.2 \, \text{rads}^{-2} \) (b) \( 2 \, \text{rads}^{-2} \) (c) \( 4 \, \text{rads}^{-2} \) (d) \( 20 \, \text{rads}^{-2} \) (e) \( 40 \, \text{rads}^{-2} \) 6. During a pirouette a figure skater reduces her moment of inertia from \( I_1 = 1.24 \, \text{kg m}^2 \) to \( I_2 = 0.25 \, \text{kg m}^2 \) by pulling in her arms. If she rotates with an angular speed of \( \omega_1 = 0.5 \, \text{rads}^{-1} \),
Transcribed Image Text:**M-8: Rotational Motion** 3. (Continue from a previous question context) (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 \( T = 10 \, \text{N} \) and the radius of the pulley is \( R = 10 \, \text{cm} \). The torque acting on the pulley is (a) \( 100 \, \text{Nm} \) (b) \( 10 \, \text{Nm} \) (c) \( 1 \, \text{Nm} \) (d) \( 0.1 \, \text{Nm} \) (e) \( 0.01 \, \text{Nm} \) 5. Consider problem 4 above. Assuming the pulley is a cylindrical, solid disk of mass \( M = 5 \, \text{kg} \), the angular acceleration of the pulley is closest to (a) \( 0.2 \, \text{rads}^{-2} \) (b) \( 2 \, \text{rads}^{-2} \) (c) \( 4 \, \text{rads}^{-2} \) (d) \( 20 \, \text{rads}^{-2} \) (e) \( 40 \, \text{rads}^{-2} \) 6. During a pirouette a figure skater reduces her moment of inertia from \( I_1 = 1.24 \, \text{kg m}^2 \) to \( I_2 = 0.25 \, \text{kg m}^2 \) by pulling in her arms. If she rotates with an angular speed of \( \omega_1 = 0.5 \, \text{rads}^{-1} \),
**Educational Resource: Understanding the Moment of Inertia of the Earth** **1. Calculating the Moment of Inertia (I) of the Earth:** To calculate the moment of inertia of the Earth in its orbit around the Sun, we use the given values: - Mass of the Earth (\(M_E\)): \(6 \times 10^{24}\) kg - Radius of the Earth's orbit around the Sun (\(R_{ES}\)): \(150 \times 10^6\) km Choose the correct value for \(I\) from the options below: (a) \(I = 1.35 \times 10^{41} \, \text{kg} \cdot \text{m}^2\) (b) \(I = 5.4 \times 10^{46} \, \text{kg} \cdot \text{m}^2\) (c) \(I = 6.75 \times 10^{46} \, \text{kg} \cdot \text{m}^2\) (d) \(I = 1.35 \times 10^{47} \, \text{kg} \cdot \text{m}^2\) **2. Effects on \(I\) with Changed Length of a Year:** Consider how the value of \(I\) changes if the Earth's year is shortened to half the length (182.5 days instead of 365 days). Select the correct impact on \(I\): (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. Effects on \(I\) with Changed Orbit Radius:** Consider how the value of \(I\) changes if the radius of the Earth's orbit is halved (i.e., \(75 \times 10^6\) km instead of \(150 \times 10^6\) km): Analyze the effects and select the corresponding outcomes.
Transcribed Image Text:**Educational Resource: Understanding the Moment of Inertia of the Earth** **1. Calculating the Moment of Inertia (I) of the Earth:** To calculate the moment of inertia of the Earth in its orbit around the Sun, we use the given values: - Mass of the Earth (\(M_E\)): \(6 \times 10^{24}\) kg - Radius of the Earth's orbit around the Sun (\(R_{ES}\)): \(150 \times 10^6\) km Choose the correct value for \(I\) from the options below: (a) \(I = 1.35 \times 10^{41} \, \text{kg} \cdot \text{m}^2\) (b) \(I = 5.4 \times 10^{46} \, \text{kg} \cdot \text{m}^2\) (c) \(I = 6.75 \times 10^{46} \, \text{kg} \cdot \text{m}^2\) (d) \(I = 1.35 \times 10^{47} \, \text{kg} \cdot \text{m}^2\) **2. Effects on \(I\) with Changed Length of a Year:** Consider how the value of \(I\) changes if the Earth's year is shortened to half the length (182.5 days instead of 365 days). Select the correct impact on \(I\): (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. Effects on \(I\) with Changed Orbit Radius:** Consider how the value of \(I\) changes if the radius of the Earth's orbit is halved (i.e., \(75 \times 10^6\) km instead of \(150 \times 10^6\) km): Analyze the effects and select the corresponding outcomes.
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