A revolution is 2 pi radians
So it goes w = 200 pi radians/minute
tangential speed = w r = r * 200 pi
at outside
v = 6*200 pi cm/min
at inside
v = 0.75 * 200 pi cm/min
A compact disk is 12 cm in diameter & rotates at 100 rpm when being played. The hole in the center is 1.5 cm in diameter. Find the speed in cm/min of a point on the disk & the speed of a point on the inner edge.
5 answers
Hi!Thanks for the answer. Might I ask what w represents?
w is Greek omega (I do not have Greek letters on my keyboard), the angular speed in radians per unit time.
If you have not studied that use:
Circumference at any radius = 2 pi r
Number of circumferences per minute = 100
so at any radius r
speed = 100 * 2 pi r = 200 pi r
Circumference at any radius = 2 pi r
Number of circumferences per minute = 100
so at any radius r
speed = 100 * 2 pi r = 200 pi r
Thanks again!:)