1. The radius of the Earth is 6.4.106 m, Mass of the Earth is 6-1024 kg, and distance of the Earth fromthe sun is 1.5.10¹1 m.(a) Calculate the angular velocity of the Earth's rotation.= 7.272x10-5Wrot(b) Calculate the moment of inertia assuming that Earth is a sphere.spherekg m²=KE rot(c) Calculate the rotational kinetic energy of Earth on its axis.=rad/s2.6x102⁹(d) Calculate the angular velocity of the of Earth in its orbit around the Sun.rad/sW rev(e) Calculate the moment of inertia of Earth in its orbit around the Sun assuming that Earth isa point mass compared to the sun.orbitkg m²=(f) Calculate the rotational kinetic energy of the Earth in its orbit around the Sun.KE rev

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1. The radius of the Earth is 6.4.106 m, Mass of the Earth is 6-1024 kg, and distance of the Earth from the sun is 1.5.10¹1 m. (a) Calculate the angular velocity of the Earth's rotation. = 7.272x10-5 Wrot (b) Calculate the moment of inertia assuming that Earth is a sphere. sphere kg m² = (c) Calculate the rotational kinetic energy of Earth on its axis. KE rot Wrev = rad/s 2.6x102⁹ (d) Calculate the angular velocity of the of Earth in its orbit around the Sun. rad/s (e) Calculate the moment of inertia of Earth in its orbit around the Sun assuming that Earth is a point mass compared to the sun. orbit kg m² = (f) Calculate the rotational kinetic energy of the Earth in its orbit around the Sun. KE rev

1. The radius of the Earth is 6.4.106 m, Mass of the Earth is 6-1024 kg, and distance of the Earth from the sun is 1.5.10¹1 m. (a) Calculate the angular velocity of the Earth's rotation. = 7.272x10-5 Wrot (b) Calculate the moment of inertia assuming that Earth is a sphere. sphere kg m² = (c) Calculate the rotational kinetic energy of Earth on its axis. KE rot Wrev = rad/s 2.6x102⁹ (d) Calculate the angular velocity of the of Earth in its orbit around the Sun. rad/s (e) Calculate the moment of inertia of Earth in its orbit around the Sun assuming that Earth is a point mass compared to the sun. orbit kg m² = (f) Calculate the rotational kinetic energy of the Earth in its orbit around the Sun. KE rev

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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5. A large grinding wheel in the shape of a solid cylinder of radius r = 0.330 m is free to rotate on a frictionless, vertical axis. A constant tangential force of Ft = 250 N applied to its edge causes the wheel to have an angular acceleration of 1.20 rad/s². What are (a) the magnitude of torque acting on the wheel and (b) the moment of inertia of the wheel? %3D net (b) I = %3D
Question 12
7. A bicyclist starting at rest produces a constant angular acceleration of 1.70 rad/s2 for wheels that are 34.0 cm in radius. (a) What is the bicycle's linear acceleration (in m/s2)? (Enter the magnitude.) (b) What is the angular speed of the wheels (in rad/s) when the bicyclist reaches 11.2 m/s? nehe energy (in (c) How many radians have the wheels turned through in that time? (d) How far (in m) has the bicycle traveled? TRUE or FALSE hects l fas anter cbjectsAUEc.se es c er Cupndently when pero TRUE OALSE
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3. A disk accelerates from rest to an angular velocity of 600 rad/s in 3.0 s. (a) What constant angular acceleration does it have? (b) How many revolutions did you make in that time?
3 Geodynamo The mass of the earth is M = 6.0 x 1024 kg and its radius is R = 6.4 x 10° m. (a) Estimate the rotational kinetic energy of the earth, in joules (J). (b) The world's annual power consumption is about 20 TWh. If the earth's rotational kinetic energy could be converted to electrical power, how long could it supply energy to the human race, assuming our power consumption remained constant? Report your answer in seconds and in years.
31. Which of the following is true for angular motion? A uniform net torque always causes an increase in angular speed. A uniform net torque always changes the direction of the angular displacement vector. A uniform net torque always change the magnitude of the rotational inertia. A uniform net torque will always cause a change of angular momentum.
2. A spider is holding on to a spoke of the wheel at a distance of 20 cm from the axle of the wheel. As soon as the spider' s speed reaches 1.5 m/s, she lets go of the spoke. How many radians of rotation did the spider go through before she let go?
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