You take a homemade "accelerometer" to an amusement park. This accelerometer consists of a metal nut attached to a string and connected to a protractor, as shown in the figure. While riding a roller coaster that is moving at a uniform speed around a circular path, you hold up the accelerometer and notice that the string is making an angle of 55 ° with respect to the vertical with the nut pointing away from the center of the circle, as shown.
(a) What is the radial acceleration of the roller coaster?
(b) What is your radial acceleration expressed as a multiple of g?
(c) If the roller coaster track is turning in a radius of 80.0 m, how fast are you moving?

Transcribed Image Text:

55° Center of roller coaster's circular path