Quick Answer: What Is The Centripetal Acceleration Of The Moon As It Travels Around The Earth?

An example of a question. Given that the Moon revolves around the Earth once every 27.3 days and that its distance from the center of the Earth is 3.85 x 108 m, what is the moon’s centripetal acceleration in kilometers per hour? The correct answer is 2.7 x 10–3 m/s2, which is the speed of light.

How would you describe the moon’s acceleration as it revolves around Earth?

When it comes to the moon’s orbit (and, in fact, any orbit, including the Earth’s orbit around the Sun), there are two opposing forces at work: gravity and inertia. Gravity is the strongest of these two forces. Because the Moon’s orbit is a circle, the object’s velocity is always changing, resulting in the Moon experiencing constant acceleration.

What is the centripetal acceleration of the Earth?

There are 86164.1 seconds in a sidereal day, or little less than 24 hours, in the rotation of the Earth, while the equatorial radius of the Earth is approximately 6378 kilometers. At the Equator, this translates into a centripetal acceleration of around 0.03 m/s2 (metres per second squared).

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What acceleration is the moon accelerating toward the Earth?

In its circular orbit, which takes it once around the Earth every 90 minutes, it is continually speeding toward the Earth at a rate of around 8.8 meters per second2.

What does it mean to say that the Moon accelerates as it orbits the Earth and what causes this acceleration?

The Moon continues to revolve around the Earth because to the gravitational pull of the planet. As a result, it is constantly altering the direction of the Moon’s velocity. This means that, despite the fact that the Moon’s speed remains constant, gravity causes it to accelerate constantly.

Does the Moon’s velocity change as it orbits the Earth?

The magnitude of velocity is represented by the term “speed.” The Moon’s velocity fluctuates continually as it revolves around the Earth. Unlike Earth’s orbit, the Moon’s orbit is not a pure ellipse because of the gravitational forces of the Sun and the other planets.

Does the Moon accelerate faster than the Earth?

Because the Earth rotates more quickly (once every 24 hours) than the Moon orbits (once every 27.3 days), the bulge seeks to “speed up” the Moon and drag it ahead in its orbit by pulling it closer to the Earth. In addition, the Moon is pulling back on the Earth’s tidal bulge, which is slowing the Earth’s rotational speed.

How do you find the centripetal acceleration of the earth?

The phrase rev/min refers to the number of revolutions that occur per minute. By converting this to radians per second, we may get the angular velocity (radians per second). The fact that r is known allows us to utilize the second statement in the equation ac=v2r;ac=r2 to compute the centripetal acceleration. The centripetal acceleration is defined as a c = v 2 r divided by the square of the radius of the circle.

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How is centripetal acceleration derived?

⟹a=v2r. As a result, the acceleration owing to centripetal force may be calculated as a=v2r. Clearly, because the circle’s velocity v and radius r are both constant, the circle’s acceleration a will also be constant as well.

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 greater circle, resulting in a larger r for the person at the equator than for the rest of the world. So the person who is located at the equator will experience greater centripetal acceleration than the one who is located at the north pole.

Is the moon accelerated quizlet?

In part, this is due to the fact that the moon is continually changing orientation as it rotates around the earth. In a situation where an object’s speed varies by the same amount throughout each unit of time, then the object’s acceleration at each point in time is the same.

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