Calculating Centripetal Acceleration at Earth's Equator

In summary, centripetal acceleration is the acceleration experienced by an object moving in a circular path and is always directed towards the center of the circle. It can be calculated using the formula a = v^2/r, with units of meters per second squared. Centripetal acceleration can be negative, indicating a decrease in speed, and some real-life examples include a car rounding a curve, a satellite orbiting Earth, and a spinning ball on a string. These examples all involve a centripetal force acting on the object to maintain its circular motion.
  • #1
rrosa522
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Homework Statement


the centripetal acceleration of an object at Earth's equator results from the daily rotation of Earth. Calculate the object's centripetal acceleration, given that the radius of Earth at the equator is 6.38*10^6m.

Homework Equations


a=v^2/r

The Attempt at a Solution


I really have no idea how to solve this question, how can I calculate the centripetal acceleration with only the radius?
 
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  • #2
Take note that a stationary object has traveled a distance equal to Earth's radius in 24 hours (assuming Earth is a perfect sphere).
 
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1. What is centripetal acceleration?

Centripetal acceleration is the acceleration experienced by an object moving in a circular path. It is always directed towards the center of the circle and is responsible for keeping the object in its circular motion.

2. How do you calculate centripetal acceleration?

Centripetal acceleration can be calculated using the formula a = v^2/r, where a is the centripetal acceleration, v is the speed of the object, and r is the radius of the circular path.

3. What are the units of centripetal acceleration?

The units of centripetal acceleration are meters per second squared (m/s^2). This is the standard unit for acceleration.

4. Can centripetal acceleration be negative?

Yes, centripetal acceleration can be negative. This indicates that the object is slowing down and its velocity is changing in a direction opposite to its motion.

5. What are some real-life examples of centripetal acceleration?

Some common examples of centripetal acceleration include a car rounding a curve, a satellite orbiting around Earth, and a ball spinning in a circle on a string. In all of these cases, a centripetal force is acting to keep the object moving in a circular path.

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