Purchase Solution

# Advanced dynamics of a spinning disk

Not what you're looking for?

The disk spins about its own axis at 1,200 rev/min as the system rotates about the vertical axis at 20 rev/min. Determine the angular velocity and angular acceleration of the disk if beta is constant at 30 degrees.

See attached file for full problem description.

##### Solution Summary

The solution shows how to calculate the angular velocity and acceleration of a spinning and rotating disk.

##### Solution Preview

Now please see the solution to your problem in the attached word file
'Solution_Angular_Velocity_Disc.doc'.

Angular Velocity:
The disk has two angular velocities,
(1) about its own axis, passing through its center
and (2) about the axis at a distance r = L+Lcos 

Spinning frequency of the disc n1 = 1200 rev/min i.e. rpm
= 1200/60 = 20 rev/sec (rps)
The angular speed of the disc about its own axis is 1 = 2n1 = 2x 3.14 x 20 = 125.6 rad/s.
As seen with the right hand rule, the direction of this angular velocity is perpendicular to the plane of the disc, directed from point O' to Q as represented by vector in figures 1 & 2.

Frequency of revolution of the disc about the axis OP n2 = 20 rev/min = 0.33 rev/s
The angular speed of the disc about axis OP 2 = 2n2 = 2x 3.14 x 0.33 = 2.0724 rad/s.
As seen with the ...

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### The Moon

Test your knowledge of moon phases and movement.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.