a space station in the form of a wheel of radius 1,510 m rotates in order to generate artificial gravity…

a space station in the form of a wheel of radius 1,510 m rotates in order to generate artificial gravity. the station rotates with a velocity of 94.3 m/s. how much centripetal acceleration is produced? ? m/s²

a space station in the form of a wheel of radius 1,510 m rotates in order to generate artificial gravity. the station rotates with a velocity of 94.3 m/s. how much centripetal acceleration is produced? ? m/s²

Answer

Explanation:

Step1: Recall centripetal - acceleration formula

The formula for centripetal acceleration is $a_c=\frac{v^{2}}{r}$, where $v$ is the velocity and $r$ is the radius.

Step2: Substitute given values

We are given $v = 94.3$ m/s and $r=1510$ m. Substitute these values into the formula: $a_c=\frac{(94.3)^{2}}{1510}$. First, calculate $(94.3)^{2}=94.3\times94.3 = 8892.49$. Then, $a_c=\frac{8892.49}{1510}\approx5.89$ m/s².

Answer:

$5.89$