As steam is slowly injected into a turbine, the angular acceleration of the rotor is observed to increase linearly with the time t. Know that the rotor starts from rest at t = 0 and that after 10 s the rotor has completed 20 revolutions. Choose the correct equations of motion for the rotor. (You must provide an answer before moving on to the next part.) a) a = 2kt, w = 3krº, and 8 = 4kr
b) a = {kt, w = ke?, and 0 = }ke?
c) a = kr?, w = jke', and 0 = krº
d) a = kt, w = jke?, and 0 kr

α = kt

ω =

θ =  

Explanation:

given data

Initial velocity ω = 0

time t = 10 s

Number of revolutions = 20

solution

we will take here first α = kt     .....................1

and as α =

so that

= kt      ..................2

now we will integrate it then we will get

∫dω  =   .......................3

so

ω =

and

ω =     ..............4

so that

 =

now we will integrate it then we will get

∫dθ =      ...............5

solve it and we get

θ =  

energy can cross the boundaries of a closed system in the form of heat and mass

explanation: