Finding Centripetal Acceleration?

AI Thread Summary
To find the centripetal acceleration of an electron in the Bohr model of the hydrogen atom, the formula Ac = 4π²f²R is used, where f is the frequency and R is the radius of the orbit. Given the mass of the electron is 9.1 x 10^-31 kg, the radius is 5.3 x 10^-11 m, and the frequency is 6.6 x 10^15 r/s, the calculation should yield a centripetal acceleration of 9.1 x 10^22 m/s². The user expresses confusion over their calculations, suspecting an error in their operations. Correct substitution of values into the formula is essential for arriving at the accurate result. Properly applying the equation will lead to the expected centripetal acceleration.
wheeliekid
Messages
1
Reaction score
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!
 
Physics news on Phys.org
Try this one.
Ac. = 4π2f2R
Substitute the values.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top