Question

1. An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 1660× 10³ seconds (about 19 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 235.0 × 10⁶ m and the planet has a radius of 3.10 × 10⁶ m, calculate the moon's radial acceleration ?cac.

2. In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 14.0 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min).

At what acceleration (in SI units) does the pilot black out?

a. ) acceleration: m/s2

b.) Express this acceleration in terms of a multiple of ?.

c.) acceleration as a multiple of ?

d.) If you want to decrease the acceleration by 19.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle?

percent of time change:

Answer 1