A wheel rotating with a constant angular acceleration turns through 13 revolutions during a 6 s time interval. Its angular velocity at the end of this interval is 14 rad/s. What is the angular acceleration of the wheel? Note that the initial angular velocity is not zero. Answer in units of rad/s 2 .

 α = 0.129 rad / s²

Explanation:

This is a rotation kinematics exercise

Let's start by reducing the magnutes to the SI system

   θ = 13 rev (2π rad / 1 rev) = 26π rad

   θ = 81.68 rad

let's use the equations

     w = w₀ + α t

     θ= w₀ t + ½ α t²

we have a system of two equations with two unknowns,

      w₀ = w -α t

we substitute

         θ = (w-α t) t + ½ α t²

       α (t² - ½ t²) = w t -  θ

        α (½ t²) = w t -   θ

        α = (w t -   θ) 2 / t²

let's calculate

        α = (14  6 - 81.68) 2/6²

        α = 0.129 rad / s²

the earths atmosphere is made up of nitrogen and oxygen. solids can turn into gasses through a process called sublimation. sublimation is the transition of a substance directly from the solid to the gas phase, without passing through the intermediate liquid phase.

hope this : d

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min