Two centrifuges rotate at the same peripheral velocity of 53.34 m/s. The bowl of the first centrifuge has a radius of 76.2 mm while the radius of the second is 305 mm. Calculate the revolutions per minute and the ratio of the centrifugal force to gravitational force developed in each bowl.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.