Sage-Tips

What is the centripetal acceleration of the Earth at the equator?

about 0.03 m/s2
Earth’s period of rotation is a sidereal day (86164.1 seconds, slightly less than 24 hours), and the equatorial radius of the Earth is about 6378 km. This means that the centripetal acceleration at the Equator is about 0.03 m/s2 (metres per second squared).

Why is centripetal acceleration greater at the equator?

Since both people are moving on the earth’s surface, they have the same period T. 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.

What is the speed of a person standing on the equator due to the Earth’s rotation?

At the equator, the circumference of the Earth is 40,070 kilometers, and the day is 24 hours long so the speed is 1670 kilometers/hour ( 1037 miles/hr). This decreases by the cosine of your latitude so that at a latitude of 45 degrees (cos(45) = . 707) the speed is .

What is the centripetal acceleration of the Moon towards the Earth hint you might need to look a few things up !)?

Sample question. Given that the Moon goes around Earth about every 27.3 days and that its distance from the center of Earth is 3.85 x 108 m, what is the moon’s centripetal acceleration? The correct answer is 2.7 x 10–3 m/s2.

What is the centripetal force of earth rotation?

For the rotating Earth, centripetal force is supplied by the gravitational force towards Earth’s center.) If Earth was a perfect, rigid sphere, the ocean would be 20 km deeper at the equator than at the poles. But this is not observed, because the solid Earth is deformed by centrifugal force.

How do you find the centripetal acceleration of the earth?

Calculate the centripetal acceleration of the Earth in its orbit around the sun and the net force exerted on the Earth? What exerts this force on the Earth? Assume that the Earth’s orbit is a circle of radius 1.50 x 1011 m. Then a = 4π2 (1.5x1011m)/(31558464 s)2 = 0.005946 m/s2 = .

Why is the acceleration of gravity less at the equator?

Gravity is often assumed to be the same everywhere on Earth, but it varies because the planet is not perfectly spherical or uniformly dense. In addition, gravity is weaker at the equator due to centrifugal forces produced by the planet’s rotation.

What is the effect of centripetal force on Earth at Equator and at Pole?

Earth’s gravity is a bit stronger at the poles than at the equator, because the Earth is not a perfect sphere, so anobject at the poles is slightly closer to the center of the Earth than one at the equator; this effect combines with the centrifugal force to produce the observed weight difference.

How do you calculate speed at the equator?

If you estimate that a day is 24 hours long, you divide the circumference by the length of the day. This produces a speed at the equator of about 1,037 mph (1,670 km/h). You won’t be moving quite as fast at other latitudes, however.

How do you calculate the rotational speed of the Earth?

3. Based on the sidereal day, Earth’s true angular velocity, ωEarth, is equal to 15.04108°/mean solar hour (360°/23 hours 56 minutes 4 seconds). ωEarth can also be expressed in radians/second (rad/s) using the relationship ωEarth = 2*π /T, where T is Earth’s sidereal period (23 hours 56 minutes 4 seconds).

What is the acceleration of the moon towards Earth?

0.00272 m/s2
Newton’s Argument for Gravity Being Universal It was known at the time, that the force of gravity causes earthbound objects (such as falling apples) to accelerate towards the earth at a rate of 9.8 m/s2. And it was also known that the moon accelerated towards the earth at a rate of 0.00272 m/s2.

What is the acceleration of the moon about the Earth?

approximately 1.625 m/s2
The acceleration due to gravity on the surface of the Moon is approximately 1.625 m/s2, about 16.6\% that on Earth’s surface or 0.166 ɡ. Over the entire surface, the variation in gravitational acceleration is about 0.0253 m/s2 (1.6\% of the acceleration due to gravity).

What is the radius of Earth’s rotation?

Earth is a spherical body, of radius 6,376 km, which completes a full rotation about its axis in 24.0 h. how long (in hours) should the day on Earth be so that a person at the equator is able to float freely above the ground? can you check my answers please? Find the zeros for the polynomial function and give the multiplicity for each zero.

Does the Earth have a small rotational velocity?

A long time ago, we said that people on the Earth have an enormous (linear) velocity (about 1,000 mi/hr)due to the rotation of the Earth. Now, we say that the Earth has a very tiny rotational velocity. How does this work?

How many times does the earth turn around in 24 hours?

The earth has a radius of 6380 km and turns around once every 24 hours. What is the average speed of a person resting at the equator? Many people mistakenly believe that the astronauts that orbit the Earth are “above gravity.”

How does the Earth’s rotation affect the size of a scale?

So, your bathroom scale reads about 2 N less (about 0.3\% or 1.5 oz) because of the rotation of the Earth. Also, note that if the Earth were to rotate faster, requiring more centripetal force to keep you moving in a circle, your bathroom scale would read less, since N = mg – F cent.