A wheel accelerates from rest to 48 rad/s at a uniform rate of 57 rad/s^2. Through what angle (in radians) did the wheel turn while accelerating?

θ = 20.21 radians

Explanation:

Using the expression to het the angle;

w² = wi² + 2∝θ

w is the final angular velocity

wi is the initial angular velocity

θ is the angle

∝ is the angular acceleration

Substitute the given values into the formula;

w² = wi² + 2∝θ

48² = 0² + 2(57)θ

2304 = 114θ

θ = 2304/114

θ = 20.21 radians

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.

that would be because of both gravity and friction. so     c