10. Extra: An elephant is located on Earth's surface at a latitude ).(a) What is the angular speed and(b) the linear speed of the elephant on Earth's surface at latitude 40° N.(c) At what latitude would its linear speed be 10 m/s?(d) Calculate the centripetal acceleration of the elephant resulting from the rotation of Eartharound its polar axis. Express your answer in terms of ), the radius RE of Earth, and timeT for one rotation of Earth. Compare your answer with g for A = 40°.Equator Constants and other possibly useful numbersg = 9.8m/s?G = 6.67 × 10-11 Nm/kg?c= 3 x 10°m/sRadius of the Moon: 1.74 x 106mMass of the Sun: 2 x 1030kgRadius of the Sun: 6.957 x 10°mMass of an electron me =9.11 x 10-31kgMass of a proton mp1.67 x 10-27kg%3DAverage distance between the Moon and Earth:3.84 x 10 mAverage distance between Sun and Earth: 1.5 x1011mMass of Earth: 6 x 1024kgRadius of Earth: 6.4 x 106mMass of the Moon: 7.35 x 1022kgMoments of Inertia:R+ R2.MR²12I =Em;r? Iring = MIdisk =ML Igphere =M R= Icylinder =MR IrodI disk%3D%D%3D12The vector product or cross product between two vectors A and B can be calculated as follows:If you know the angle 0 between the two vectors, find the magnitude of the product |C| = |Ã × B| =|A||B| sin 0 and find the direction using the right-hand-rule.%3D

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Answered: 10. Extra: An elephant is located on…

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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1. A particle moves in a circle of radius 1.50 m according to the relation 0(t)=5t + 3t, where 0 is measured in radians and t in seconds. What is the linear speed of the particle after 3.00 seconds? a) 33.0 m/s b) 49.5 m/s c) 54.0 m/s d) 45.0 m/s
02. A certain planet spins on its axis 4 a day and orbits the sun 13 a year. Determine the average angular velocity (in rad/s) of the earth as it spins on its axis. Note: Express your answer in seven decimal places.
11. The largest helicopter ever built in the United States was the Sikorski CH-53E "Super Stallion". The four blades of its main rotors each has a radius of 24.1 m. If the rotors are turning at 50 rpm, what is the velocity at the tip of the blade? What is the acceleration? Give your answer for the acceleration both in m/s² and as a multiple of g.
4. A circular saw blade rotating at 3600 rpm is braked to a stop in 6 sec. What is the angular acceleration? How many revolutions did the blade make before coming to stop?
It has been suggested that rotating cylinders about 18.5 mi long and 4.60 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth? rad/s
1) The picture to the right shows an ad for an old piece of playground equipment called a Giant Stride. We had one at my elementary school, it was pretty fun. I don't think they let kids play on this sort of thing these days. Chains with handles on one end are connected to the top of a pole where they are free to rotate. When the children run in a circle they can get going fast enough to fly off the ground as they move in a horizontal circle. What is the linear speed of a child when the chain she is holding makes an angle of 35° with the vertical? Assume the chain is 4 m long. Price of Head Complete with 6 Ladders, Any Type No Pipe. $26.75 No. 16. No. 15. Supporting Post, Painted $15.25
2. We can use a simple model which uses our understanding of uniform circular motion to estimate the largest possible rotational speed of a planet around its own axis. For a planet of mass M and radius R our model assumes that the planet "falls apart" when the loose rocks on the surface at the equator are no longer sitting on the surface because they leave the surface. A loose rock of mass m is shown on the equator in the drawing. M m R С. Now return to the 'slowly' rotating planet (where the loose rocks are not flying off the surface) and consider a loose rock that is not on the equator, but at some higher latitude, 0 (as shown). Do you need forces besides gravity and the normal force to make this situation possible? Justify your answer (you just need to justify whether you need another force but not what that other force might be if it is needed).
1. A wind turbine is rotating at 31 rev/min. How fast (in m/s) is a point on the blade is moving that is (a) 0.5 m from the rotational axis? Answer: m/s (b) 1.0 m from the rotational axis? Answer: m/s (c) What is the magnitude of the centripetal acceleration at 0.5 m? Answer: V m/s? (d) What is the magnitude of the tangential acceleration at 0.5 m? Answer: V m/s2
question 4
7.
1. Lynne jogs daily around a circular track of diameter 25m for a total distance of 942 m in 5.0 min. How many times did Lynne jog around the track? What is Lynne's average angular speed in radians/s?
17. A satellite orbits the Earth near the equator at a distance of 300 km from the Earth's surface. Use your determination of the tangential velocity of the satellite as it orbits the Earth to calculate its orbital period. a. 14 minutes b. 84 minutes 90 minutes None of these are correct C. d.

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10. Extra: An elephant is located on Earth's surface at a latitude d. (a) What is the angular speed and (b) the linear speed of the elephant on Earth's surface at latitude 40° N. (c) At what latitude would its linear speed be 10 m/s?