Question

A car is at rest start its acceleraton
with 40 rad / sec² then in how muchtime it acquire 800 cycle per min angular velocity​

Answer 1

$here , </p><p> \\\bull \: \omega \: = \: 0 \\ \\ \bull \: \alpha \: = \: 40 \: rad /s² \\ \\ \bull \: f \: = \: 800 cycles/min \\ \: f \: = \: \frac{40}{3} cycles/sec \: \\ \\ \bull \: {\omega}^{'} \: = \: 2 \: \pi \: f \\ {\omega}^{'} = \frac{8 0 \: \pi}{3} rad/s \\ \\ </p><p>$

${\large{\tt{using \: the \: {eq}^{n}}}} \\ \huge{\purple{\boxed{\pink{\sf{ \: {\omega}^{'} \: = \: \omega \: + \: \alpha \: t}}}}}$

$Now \: time \: required \: , T \: = \: \frac{84}{40} = 2.1s$