Use the formula v = r ω to find the value of the missing variable.

v = 9 m per sec , r = 5 m

Video transcript

Hey, everyone in this problem we're asked to solve for Omega by using the formula V is equal to R Omega. We're given that V is equal to 17 m per second and R is equal to 9 m. We have four answer choices. Option A nine divided by 17 radiance per second. Option B 17, divided by nine radiant per second. Option C nine pi divided by 17 radiance per second and option D 17 pi divided by nine radiant per second. Now, this is a simple problem. We're given the equation we wanna use and we're given the values that we need. OK. So if we write out our formula, we have V is equal to R Omega, we want to solve for Omega. So we can divide both sides by R. We get that Omega is gonna be equal to V divided by R. And we're given both V and R. In this problem, we just need to substitute them in Omega is going to be equal to 17 m per second divided by 9 m. The unit of meters divides out and we're gonna be left with radiance per second because we're talking about Omega. Remember when we have this equation, Omega is our angular speed V is our linear speed. And so we're relating the angular and the linear speed and Omega is given in radiance per second. What we end up with is 17 divided by nine radiance per second. And that is going to correspond with answer choice. Thanks everyone for watching. I hope this video helped you in the next one.