Apulley has an initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2. through what angle does the pulley turn in 5.26 s?

Angle turn pulley is 113 rad

Explanation:

given data

angular speed w = 12.5 rad/s

angular acceleration a 3.41 rad/s²

time t = 5.26 s

to find out

what angle does the pulley turn

solution

we get here angle by this equation that is here

angle  turn = w × t + 0.5 × a × t²     1

put here value we get

angle  turn = w × t + 0.5 × a × t²

angle  turn = 12.5 × 5.26 + 0.5 × 3.41 × 5.26²

Angle turn =  65.75 + 47.17

Angle turn = 112.92 rad = 113 rad

cant without the picture! ?

this would be about 43%