PPRuNe Forums - View Single Post - The weight of a spinning mass?
View Single Post
Old 30th Jun 2001, 14:47
  #5 (permalink)  
Bally Heck
Guest
 
Posts: n/a
Post

airtaxi

Weight is no longer an approved term. Mass is the new weight and is variously defined as the quantity of matter contained in a body or the resistance to inertia of a body or something like that.

The effect of gravity produces a force of 9.81 m/s/s x m giving a downward force of 9.81 newtons for a one kg mass

The rotation of the body exerts a force which is m x r x omega squared.

Where r is the radius of rotation in metres and omega is the rotational speed in radians per second.

Radians per second is revolutions per second multiplied by pi (3.141)

So a 1kg mass rotating at 1 rps at a radius of 1m will produce a force of about 9.9 newtons.

If this was a conker on a piece of string then the force of gravity would pull it down and the centripetal force would pull it in the plane of rotation. As both forces in this case are approximately equal, the string would be at an angle of approximately 45 degrees. As the rotational speed increases, the string will approach the plane of rotation...but never actually get there because gravity will always have it's 9.81 newtons downward effect (on the earths surface.)

Clear as mud?

Think this is about right but I'm dredging up knowledge and formula from twenty years ago so please forgive any minor or major errors.