Question

PLEASE HELP MEEEE marking brainliest ​

Answer 1

Answer:

Option C

Explanation:

Centripetal acceleration formula regarding velocity and radius is,

$a_c=\frac{v^2}{r}$

now we know the centripetal acceleration is 9 and the radius is 16 so we plug these values into our formula,

$a_c=\frac{v^2}{r}\\\\9=\frac{v^2}{16} \\\\144=v^2\\\\\sqrt{144}=v \\\\v=12\ m/s$

so velocity is 12 m/s

Now for the angular velocity, the formula of centripetal acceleration regarding angular velocity and radius is,

$a_c=rw^2$

we know the centripetal acceleration is 9 and the radius is 16 so plug these values into the formula,

$a_c=rw^2\\\\9=16w^2\\\\0.5625=w^2\\\\\sqrt{0.5625}=w \\\\0.75\ rad/s=w$

so angular velocity is 0.75 rad/s