Physics, rotational kinematics

In summary, the Bohr model of the hydrogen atom depicts the electron as moving in a circular orbit around a stationary proton, with a distance of 5.29 * 10^-11 m and a linear speed of 2.18 * 10^6 m/s in the lowest-energy orbit. To determine the angular speed of the electron, the linear velocity is divided by the radius. To find the number of orbits it makes each second, the conversion factor of revolutions to radians is used.
  • #1
MozAngeles
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0

Homework Statement


The Bohr Atom The Bohr model of the hydrogen atom pictures the electron as a tiny particle moving in a circular orbit about a stationary proton. In the lowest-energy orbit the distance from the proton to the electron is 5.29 * 10^- 11 m, and the linear speed of the electron is 2.18 *10^6 m/s.
A. What is the angular speed of the electron? got it.. [tex]\omega[/tex] =4.12×10^ 16 rad/s

B. How many orbits about the proton does it make each second? ??

Homework Equations


omega=linear velocity/radius
1rev=2[tex]\pi[/tex] rad


The Attempt at a Solution


you would think you would just divide the result from question A (4.12*10^16 rad per s) by the conversion factor of rev to rad (2[tex]\pi[/tex]). However, this is showing up to be wrong on the website.. I have no idea of what else i can do...
 
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  • #2
Hi MozAngeles! :smile:

(have a pi: π and an omega: ω and try using the X2 tag just above the Reply box :wink:)
MozAngeles said:
you would think you would just divide the result from question A (4.12*10^16 rad per s) by the conversion factor of rev to rad (2[tex]\pi[/tex]). However, this is showing up to be wrong on the website.. I have no idea of what else i can do...

Looks ok to me. :confused:
 

Related to Physics, rotational kinematics

1. What is rotational kinematics?

Rotational kinematics is a branch of physics that deals with the motion of objects that are rotating or spinning. It involves studying the physical quantities such as angular velocity, angular acceleration, and torque that describe the rotational motion of an object.

2. What is angular velocity?

Angular velocity is the rate at which an object rotates or spins around an axis. It is measured in radians per second (rad/s) and is a vector quantity with both magnitude and direction. It can be calculated by dividing the change in angular displacement by the change in time.

3. How is rotational kinematics different from linear kinematics?

Rotational kinematics deals with the motion of objects that are rotating, while linear kinematics deals with the motion of objects that are moving in a straight line. In rotational kinematics, physical quantities such as angular displacement and angular velocity are used, while in linear kinematics, quantities such as displacement and velocity are used.

4. What is the difference between angular acceleration and linear acceleration?

Angular acceleration is the rate at which the angular velocity of an object changes, while linear acceleration is the rate at which the linear velocity of an object changes. Angular acceleration is measured in radians per second squared (rad/s^2), while linear acceleration is measured in meters per second squared (m/s^2).

5. How is torque related to rotational kinematics?

Torque is a measure of the force that causes an object to rotate. It is directly related to rotational kinematics because it is the product of force and lever arm, which are both important factors in determining the angular acceleration of an object. Torque is also the rotational equivalent of force in linear kinematics.

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