A bicycle wheel with a radius of 0.42 m accelerates uniformly for 6.8 s from an initial angular velocity of 5.5 rad/s to a final angular velocity of 6.7 rad/s. What was its angular acceleration

The angular acceleration required  is 0.1765 rad/

Explanation:

The radius of the bicycle wheel has a radius of 0.42 m.

The acceleration is for time, t =  6.8 seconds.

Initial angular velocity is given as    = 5.5 rad/s

Final angular velocity is given as = 6.7 rad/s

Therefore from the formula for angular speed we get

= + ( t),   where t is the time in seconds.

Therefore we get

6.7 =  5.5 + (6.8 × )

Therefore we get the angular acceleration, =

The angular acceleration required  is 0.1765 rad/

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.

small = small current large mag large current