A wheel has angular acceleration of 3 rad/sec² and an initial angular speed of 2 rad/sec. In a time of 2sec it has rotated through an angle of (in radians)?

Question

16306 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-13T10:29:01

The angle is $=10rad$

The angular acceleration is $alpha=3rads^-2$

The initial angular speed is $omega_0=2rads^-1$

The time is $t=2s$

Apply the equation

$theta=omega_0t+1/2alphat^2$

The angle is

$theta=2*2+1/2*3*2^2$

$=4+6$

$=10rad$