A Andy Guest Apr 18, 2009 #1 The ball in a computer mouse is 2.0 cm in diameter. If you move the mouse 12 cm, what is the angular displacement of the ball?
The ball in a computer mouse is 2.0 cm in diameter. If you move the mouse 12 cm, what is the angular displacement of the ball?
M Mr. Blue New member Apr 18, 2009 #2 Circumference = Pi x Diameter = 2.0 Pi cm (where Pi ~ 3.1416) Distance = N x Circumference where N is the # of rolls of the mouse ball So N = 12 cm / 2.0 Pi cm = 6 / Pi ~ 1.9 (no units!) i.e. the anugular displacement of the ball is about 1.9 full revolutions, or about 1.9 x 360 = 687.55 degrees.
Circumference = Pi x Diameter = 2.0 Pi cm (where Pi ~ 3.1416) Distance = N x Circumference where N is the # of rolls of the mouse ball So N = 12 cm / 2.0 Pi cm = 6 / Pi ~ 1.9 (no units!) i.e. the anugular displacement of the ball is about 1.9 full revolutions, or about 1.9 x 360 = 687.55 degrees.
