Each is independent of the other -Each is dependent on each other -The horizontal component is dependent on gravitational acceleration -The horizontal component decreases with an increase in the vertical component

6 0

3 years ago

A flywheel having constant angular acceleration requires 4.00 ss to rotate through 164 radrad . Its angular velocity at the end

ExtremeBDS [4]

Answer:

$\omega '=-13.5rad/s$

Explanation:

From the question we are told that:

Time $t=4sec$

Angular displacement $\theta= 161 rad$

Final Angular velocity $\omega = 100 rad / s$

Let

Angular acceleration $\alpha$

Generally the equation for Initial Angular velocity $\omega '$ is mathematically given by

$-\omega '^2=2 \alpha \theta -\omega^2$

$\omega '^2= \alpha 328 +11236$

Also,Initial Angular velocity $\omega '$ is mathematically given by

$\omega '=\omega - \alpha t$

Therefore substitution

$-\omega '^2=2 \alpha \theta -\omega^2$

$\omega '=\omega - \alpha t$

$(\omega - \alpha t)^2=2 \alpha \theta -\omega$

$-16\alpha^2+848\alpha+11236= \alpha 328 -11236$

$16\alpha^2-520\alpha=0$

$\alpha=29.875rads/s^2$

Substitution in the 2nd equation for Initial Angular velocity $\omega '$

$\omega '=106-(29.875rads/s^2*4)$

$\omega '=-13.5rad/s$

6 0

3 years ago