Question

In: Physics

A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually...

A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.116 rad/s2. After making 2870 revolutions, its angular speed is 124 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?

Solutions

Expert Solution

CALCULATION"::

  

= angular acceleration 0.116 rad/s2

= angular speed is 124 rad/s

2870 revolutions = displacement

Lets t = time speeding

= initial angular speed

a)   we know this formula for angular velocity and displacement and angular acceleration

  The initial angular velocity of the turbine is

b) applying this formula where change the angular velocity =

   time change= t - ti=t-0=t

we know ,

  

  

  Time elapses while the turbine is speeding up

so answer is 157 sec

:::


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