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

NOTE : As per bartleby guidelines, we can answer only first 3 sub parts of a question. For remaining…

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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Similar questions

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
2. It is the rate of changes in angular displacement. Select one: a. Angular Velocity b. Angular Acceleration c. Tangential Speed d. Centripetal Acceleration.
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.
EXAMPLE 21: A cyclist on a circular track of radius 800 ft is traveling at 27 ft/s. His speed in the tangential direction increases at the rate of 3 ft/s. What is the cyclist total acceleration?
12. A car is moving with speed 15 km/hr on a circular path of radius 530 m. Its speed is increasing at the rate of 2 m/s². (a) What is the magnitude of its radial acceleration? (b) What is the magnitude of its tangential acceleration? (c) What is the total acceleration of the jet?
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.
8. Callum is playing tetherball. The tetherball has a mass of 0.4 kg and has a tangential velocity of 2.4 m/s. If the tetherball rope is 1.5 m long, what centripetal force does Callum's tetherball have?
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?
4. calculates the magnitude of the tangential velocity of an object that describes a circumference of 1.2m radius in 1.6 sec.
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).

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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?