Question

5. At a given time a shaft is rotating 50 rpm about a fixed axis, 20 s later it is rotating 1050 rpm. Solve its angular acceleration

Answer 1

$\omega_1=2\pi\nu_1=2\pi\cdot\frac{50}{60}=5.23rad/s$

$\omega_2=2\pi\nu_2=2\pi\cdot\frac{1050}{60}=109.9rad/s$

$\epsilon=\frac{\Delta\omega}{\Delta t}=\frac{109.9-5.23}{20}=5.23rad/s^2$ Answer.