0.159154943 is the conversion factor. So, -4.2 rad x 0.159154943 = -0.668450761 revolutions.
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Multiply by 2 pi = 6.28
One revolution is 360 degrees or 2 pi radians ( full circle) So 13 rev = 13 x 60 degrees or 13 x 6.28 radians
-5.58505361 radians.
To find the displacement in radians, you can use the fact that one complete revolution corresponds to (2\pi) radians. If the disk rotates through five revolutions, the total displacement is (5 \times 2\pi = 10\pi) radians. Therefore, the displacement of the disk in 4 seconds is (10\pi) radians.
In radians: cos(42) = - 0.399965315 ---------------------- In degrees: cos(42) = 0.7431448255 ----------------------