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. Determine the angular velocity at t = 24 s.

217.04 rad/s

Explanation:

We are given that

Initial velocity,

t=10 s

Number of rev=20

We have to find the angular velocity at t=24 s

Substitute the values

Substitute the value of k and t=24

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards