What is the speed of rotation of the Earth at the equator?

roughly 1,000 miles per hour
The earth rotates once every 23 hours, 56 minutes and 4.09053 seconds, called the sidereal period, and its circumference is roughly 40,075 kilometers. Thus, the surface of the earth at the equator moves at a speed of 460 meters per second–or roughly 1,000 miles per hour.

What is the centripetal acceleration of Earth around the sun?

The centripetal acceleration of the Earth in its orbit around the sun will be: a = v2/r = (2πr/T)2/r = 4π2r/T2. Then a = 4π2 (1.5x1011m)/(31558464 s)2 = 0.005946 m/s2 = . 0059 m/s/s toward the Sun. We know that the mass of Earth is 5.98 x 1024 kg. So the net force exerted on the Earth is: F = ma.

Where on the earth’s surface is your centripetal acceleration greater at the equator or at the poles?

The person at the equator moves in a larger circle so that r is larger for the person at the equator. Therefore, the person at the equator has a larger centripetal acceleration than the person at the north pole.

Why is the speed of Earth rotation different at the equator?

Specifically, Earth rotates faster at the Equator than it does at the poles. Earth is wider at the Equator, so to make a rotation in one 24-hour period, equatorial regions race nearly 1,600 kilometers (1,000 miles) per hour. Near the poles, Earth rotates at a sluggish 0.00008 kilometers (0.00005 miles) per hour.

How fast does the Earth spin at the North Pole?

When divided by 24 hours, this results in a rotational speed of 1,275 kilometers per hour (792 miles per hour). And at the North Pole, the distance around the Earth is zero, and zero divided by 24 hours results in a speed of zero.

How do you find the centripetal acceleration of the sun?

To get centripetal acceleration, I square the angular velocity and multiply it by the radius. I then divide by g=9.8 to get the centripetal acceleration relative to gravity.

How do you find the centripetal acceleration of the earth?

We can express the magnitude of centripetal acceleration using either of two equations: ac=v2r;ac=rω2 a c = v 2 r ; a c = r ω 2 .

Where is centripetal acceleration the greatest?

This is the acceleration of an object in a circle of radius r at a speed v. So, centripetal acceleration is greater at high speeds and in sharp curves—smaller radii—as you have noticed when driving a car.

What is the centripetal acceleration at the pole?

In particular, centripetal acceleration is strongest at the Equator. It is weakest at the Poles. (In fact, it is zero at the Poles.)

What is the 9.8 m s2?

The magnitude of the acceleration due to gravity, denoted with a lower case g, is 9.8 m/s2. g = 9.8 m/s2. This means that every second an object is in free fall, gravity will cause the velocity of the object to increase 9.8 m/s. So, after one second, the object is traveling at 9.8 m/s.

What is the centrifugal acceleration of gravity on the equator?

To derive the centrifugal acceleration on the equator (i.e. the force in Newtons on one gram mass, rotating with the Earth), we calculate in meters and seconds Comparing this to the acceleration of gravity–say 9.81 m/s 2 –it is only 0.00346 or 0.346\%. Effective gravity on the equator is reduced by the rotation, but only by about 1/3 of a percent

How does the rotation of the Earth affect the equator?

Effective gravity on the equator is reduced by the rotation, but only by about 1/3 of a percent Assuming the Earth is exactly spherical, we expect gravity to always point towards the center of Earth. However, the centrifugal force is perpendicular to the axis of the Earth.

How does the equatorial pile-up change the direction of gravity?

Well, until the equatorial pile-up of material forms a “hill” around the Earth, rising slightly towards the equator, where its top would be. No more flow towards the equator would occur once the slope of the ground, as modified by the hill, would be exactly perpendicular to the effective direction of (modified) gravity.

Why does the Coriolis effect occur at the equator?

The key to the Coriolis effect lies in Earth’s rotation. Specifically, Earth rotates faster at the Equator than it does at the poles. Earth is wider at the Equator, so to make a rotation in one 24-hour period, equatorial regions race nearly 1,600 kilometers (1,000 miles) per hour.