Finding Centripetal Acceleration?

In summary, the Bohr model of the hydrogen atom describes the electron as revolving around the nucleus with a mass of 9.1 x 10^-31 kg. The radius of the orbit is 5.3 x 10^-11 m and the electron makes 6.6 x 10^15 revolutions per second. To find the centripetal acceleration, we use the equation Ac = 4π2f2R and substitute the given values, resulting in an answer of 9.1 x 10^22. If this answer does not match the expected result, there may be an error in the calculation.
  • #1
wheeliekid
1
0

Homework Statement



In the Bohr model of the hydrogen atom, the electron revolves around the nucleus and has a mass of 9.1 x 10^-31 kg. If the radius of the orbit of the electron is 5.3 x 10^-11 m and the electron makes 6.6 x 10^15 r/s, find

The centripetal acceleration


Homework Equations


Ac= 4pi^2 X R/T^2

The Attempt at a Solution



I know it should be 4pi^2 X 5.4 X 10^-11/ 1/6.6 X 10^15 ^2

But... the answer is 9.1 X10^ 22 and I am NOT getting the right answer. I feel like there is something wrong within my operation.

Thanks!
 
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  • #2
Try this one.
Ac. = 4π2f2R
Substitute the values.
 

Related to Finding Centripetal Acceleration?

1. What is centripetal acceleration and how is it different from regular acceleration?

Centripetal acceleration is the acceleration that an object experiences as it moves in a circular path. It is different from regular acceleration because it is always directed towards the center of the circle, whereas regular acceleration can be in any direction.

2. How is centripetal acceleration calculated?

The formula for calculating centripetal acceleration is a = v^2/r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path.

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

Some examples of centripetal acceleration in everyday life include a car turning on a curved road, a satellite orbiting around the Earth, and a washing machine spinning clothes in a circular motion.

4. Can centripetal acceleration be negative?

No, centripetal acceleration cannot be negative. It is always a positive value because it is a measure of the object's change in speed or direction, which cannot be negative.

5. How does centripetal acceleration relate to the concept of centripetal force?

Centripetal acceleration and centripetal force are closely related. Centripetal force is the force that causes an object to move in a circular path, and it is directly proportional to the centripetal acceleration. In other words, a higher centripetal force will result in a higher centripetal acceleration.

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