Adisk rotates about its central axis starting from rest and accelerates with constant angular acceleration. at one time it is rotating at 10.0 rev/s. after 60 more complete revolutions, its angular speed is 15.035 rev/s.. calculate the angular acceleration

1.05 rev/ (s)2

Explanation:

Here the disc is travelling from constant angular acceleration there for we can use motion equation for angular acceleration

(V)2 = (U)2 + 2aS

V - final angular velocity

U - initial angular velocity

S - revolution

a - angular acceleration

(15.035)2 = (10)2 + 2* a * 60

a = 1.05 rev /(s)2

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.