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

Obtain the equation omega = omega_0 + alphat .

Obtain equation omega=omega_(0)+alphat from first principle.

Derive the following relations by calculus method : omega=omega_@ + alphat

Obtain the equation omega = omega_(0) alpha t from first principles.

Express the following sets in set-builder method:{1, omega,omega^2 }

Express 100 W in candlepower.

A solid body rotates about a stationary axis so that its angular velocity depends on the rotation angle varphi as omega=omega_0-avarphi , where omega_0 and a are positive constants. At the moment t=0 the angle varphi=0 . Find the time dependence of (a) the rotation angle, (b) the angular velocity.