Question

find the linear speed v for the following. a point on the edge of a flywheel of radius 2 m, rotating 44 times per min the linear speed v for a point on the edge of a flywheel of radius 2 m, rotating 44 times per min is (simplify your answer. type an exact answer, using $pi$ as needed. use integers or fractions for any numbers in the expression )

Explanation:

Step1: Find the angular speed $\omega$

The fly - wheel rotates 44 times per minute. One full rotation is $2\pi$ radians. So, $\omega = 44\times2\pi$ radians per minute. $\omega = 88\pi$ radians/min.

Step2: Use the linear - speed formula

The formula for linear speed $v$ is $v = r\omega$, where $r$ is the radius and $\omega$ is the angular speed. Given $r = 2$ m and $\omega=88\pi$ radians/min. Then $v=2\times88\pi$.

Step3: Calculate the linear speed

$v = 176\pi$ m/min.

Answer:

$176\pi$ m/min