Concept - find the angular speed of rotation of earth by using the time period given. Use that to find the tangential speed at the equator. Find the relation between radius of earth and radius of the circle at the given latitude and hence find the required angle as shown below
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Chapter 08, Problem 40 The earth has a radius of 6.38 x 106 m and turns...
The earth has a radius of 6.38 x 106 m and turns on its axis once every 23.9 h. (a) What is the tangential speed (in m/s) of a person living in Ecuador, a country that lies on the equator? (b) At what latitude (i.e., the angle in the figure, in degrees) is the tangential speed 1/2 that of a person living in Ecuador? Axis of rotation Equator
The earth has a radius of 6.38 x 106 m and turns on its axis once every 23.9 h. Axis of rotation Equator (a) What is the tangential speed (in m/s) of a person living in Ecuador, a country that lies on the equator? m/s (b) At what latitude (i.e., the angle o in the drawing) is the tangential speed one-third that of a person living in Ecuador?
the earth has a radius of 6.38 106 m and turns on its axis once every 23.9 h. At what latitude(in degrees) is the tangential speed 7/8 that of a person living in Ecuador?
Earth has a radius of 6.38× 106 m and rotates with a period of 23.9 hours. Find the speed of an object (a) on the equator and (b) in Las Vegas (latitude: 36.2° north).
The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 64.0 north of the equator. (a) v= ac- (a) v = Units Units Units Units
The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 57.0 ° north of the equator.
Earth has a mass of 5.97 x 1024 kg and a radius of 6.38 x 106 m. Assume it is a uniform solid sphere. The distance of Earth from the sun is 1.50 x 1011 m. (Assume Earth completes a single rotation in 24.0 hours and orbits the Sun once every 365 Earth days.) (a) Calculate the angular momentum of Earth in its orbit around the Sun kg m2/s (b) Calculate the angular momentum of Earth on its axis kg...
Earth Mass/Radius: 1 M= 5.97 x 10^24 kg 1 R= 6.38 x 10^6 m Compare th centripetal force of s 75 kg person standing on the equator of the earth to that of the gravitational force due to the earths rotation. In other words, compute the ratio ( F gravitational/ F centripetal). How many revolutions per day would the earth have to turn to make these forces equal to one another (to makes this ratio exactly 1)?
The earth has a radius of 6380 km and turns around once on its axis in 24 h. Part A What is the radial acceleration of an object at the earth's equator? Give your answer in m/s2. Part B What is the radial acceleration of an object at the earth's equator? Give your answer as a fraction of g. Part C If arad at the equator is greater than g , objects would fly off the earth's surface and into...