Question

Chilling with a bunch of space equipment you spot a spaceship. Starting up the wheel shaped spaceship that is 1km in diameter and designed to reach angular speed over 2 min as a cubic function of time that would generate a radial acceleration on the rim equal to Earth's gravity (9.81) after the 2 min start up.

Answer 1

The radial acceleration will be given by:

here,

where is a proportionality constant.

r = d/2 = 500 m

so,

now, it is given that when t = 2 min = 2 x 60 = 120 seconds, a = 9.81 m/s²

=>

=>

therefore, the expression for radial acceleration is:

.