convert to an algebra problem?
Madame Xanadu sets her crystal ball on a velvet pillow in the middle of a round table that sits in a corner of her apartment. One day, as she was watching TV, a small earthquake struck. Madame Xanadu shicked that she has not predicted it, looked up to see her precious crystal ball rolling across the table toward the corner. The table has a diameter of 4 feet and the crystal ball has a diameter of 10 inches. Should she fling herself across the room to stop the ball from reaching the edge of the table and falling? Predict the near future for her crystal ball.
Comments
glass has a density of 150 - 175 lb/ft3
(http://www.engineeringtoolbox.com/density-solids-d...
10 in diameter means the globe weighs
4/3 𝛑 (10/12)^3 ft³ * 150lb/ft³ = 360lb
But since the globe rolled to the corner, let's see if it falls thru.
Table has diameter of 4 ft.
Towards the corner, the radius is still 2 feet away from corner.
The corner of the wall is h² = 2² + 2²
h = √8 ft away
2.82842712474619 ft to corner
table is 2ft away.
There is a 0.828 ft gap
10 in = 10(1ft/12in) = 0.833 ft ball
It's too big to fall off table and will simply lodge there. That is unless table moves!
Not enough data. How fast is the ball rolling? How big is the room (or the apartment)?