answersLogoWhite

0

I'm not quite sure of my ground here, but here are my thoughts: Data: equatorial radius of the earth (r) = 6378137 m. equatorial gravitational field strength (g) = 9.78 Nkg-1 In order for the rotation of the earth to perfectly cancel weight, the gravitational field strength g should equal the centripetal acceleration, a. a = w2r where w is the Earth's angular velocity. If T is the duration of a day in seconds, then we can substitute w = 2 x pi / T giving a = 4pi2r / T2 Equating a to g: 4pi2r / T2 = 9.78 Rearranging to find T: T = sqrt(4pi2r / 9.78) Substituting pi = 3.1415... and r = 6378137 T = 5074 seconds (nearest second) which is 1 hour, 24 minutes and 34 seconds, or about 17 times shorter than an ordinary day.

User Avatar

Wiki User

17y ago

What else can I help you with?

Related Questions

What is the length of the earth's equator in meters?

The length of the Earth's equator is 12,756,000 meters."The Solar System", Roman Smoluchowski, Scientific American Library, 1983, page 164


What is the length of the equator of the earth?

The length of the Earth's equator is 12,756,000 meters."The Solar System", Roman Smoluchowski, Scientific American Library, 1983, page 164


At which place on earth is the length of the day always same as the length of the night?

That would be the equator.


How much force does a person in outer space exert on earth if the earth exerts 850 N on the weightless person?

The person in space exerts a force of 850 N on the earth. The fact that the person is weightless has no bearing on this question. Ever since Newton enunciated his three laws of motion we have known that action and reaction are equal and opposite. If the earth pulls him with 850 N, then he pulls the earth with 850 n.


In which part of earth the day length is the same throughout the year?

The equator.


How long would a string 1 inch above the earths surface at the equator have to be?

The earth's equator is approximately 40,075 kilometres. There is no exact value because, amongst other things, the equator is not static: it moves with shifts in the axis of the earth's rotation.However, using calculus, it is possible to show that the length of the string would need to be 2*pi inches = 6.3 inches greater than the length of the equator measured in inches. Given the variability in measuring the earth's equator, that difference will not be identifiable.The earth's equator is approximately 40,075 kilometres. There is no exact value because, amongst other things, the equator is not static: it moves with shifts in the axis of the earth's rotation.However, using calculus, it is possible to show that the length of the string would need to be 2*pi inches = 6.3 inches greater than the length of the equator measured in inches. Given the variability in measuring the earth's equator, that difference will not be identifiable.The earth's equator is approximately 40,075 kilometres. There is no exact value because, amongst other things, the equator is not static: it moves with shifts in the axis of the earth's rotation.However, using calculus, it is possible to show that the length of the string would need to be 2*pi inches = 6.3 inches greater than the length of the equator measured in inches. Given the variability in measuring the earth's equator, that difference will not be identifiable.The earth's equator is approximately 40,075 kilometres. There is no exact value because, amongst other things, the equator is not static: it moves with shifts in the axis of the earth's rotation.However, using calculus, it is possible to show that the length of the string would need to be 2*pi inches = 6.3 inches greater than the length of the equator measured in inches. Given the variability in measuring the earth's equator, that difference will not be identifiable.


Would a person orbiting earth in a spaceship feel lighter?

Yes. In fact they would feel weightless.


How many km is it around the world?

The length of Earth's equator is about 38,622 kilometres.


What the time periods of a simple pendulum at equator of the earth?

The time period of a simple pendulum at the equator of the Earth is slightly longer than at other latitudes due to the centrifugal force from the Earth's rotation. This force decreases the gravitational force experienced by the pendulum, leading to a longer period. The difference in period between the equator and other latitudes is very small, however, and not easily noticeable in everyday practice.


During an equinox the sun is directly over what part of earth?

During an equinox, the sun is directly over the equator of the Earth. This causes the length of day and night to be nearly equal all over the world.


Why does a man feel weightless on the moon?

They don't. The moon has gravity but not as much as earth so they feel that they have less weight. In outer space a person would feel weightless because no gravity that they could notice is acting upon them.


How many anacondas does it take to fill around the Equator?

It's estimated that it would take about 40 million anacondas to wrap around the Earth's equator. This calculation is based on the average length of an anaconda (15 feet) and the circumference of the Earth at the equator (24,901 miles).