Is it necssary to express all angles in radianwhile using the equation `omega=omega_0+alphat`?

Obtain the equation omega = omega_0 + alphat .

Two coils have amutual inductance 0.005 H. The current changes in the first coil according to the equation I= i_m sin omega t , where i_m = 10 A and w= 100 pi rad s^(-1) . The maximum value of the emf induced in the second coil is:

If z and w are two complex numbers simultaneously satisfying te equations, z^3+w^5=0 and z^2 +overlinew^4 = 1, then

Mass perentage is expressed as W/W.

In the equation : y=a sin (omega t - kx), t and x stand for time and distnace respectively. Obtain the dimensional formula for omega and k.

Find the complex number omega satisfying the equation z^3=8i and lying in the second quadrant on the complex plane.