Use the formula ω = θ/t to find the value of the missing variable.

ω = 0.91 radian per min, t = 8.1 min

Video transcript

Welcome back. I am so glad you're here. We are asked to solve for theta by using the formula Omega equals theta divided by T. We are given that Omega is equal to 0.67 radians per minute and that T is equal to 10.4 minutes. Our answer choices are answer choice. A 5.2 radiance. Answer choice B seven radiance, answer choice, C 9.1 radiance and answer choice D 4.6 radiance. All right. Well, we have three variables. We know what two of them are. We can plug those into our equation to solve for theta. So on the left, instead of Omega, we can put in 0.67 radians per minute and that's equal to on the right. We still don't know theta in the numerator, but that's divided by T which is 10.4 minutes to get theta by itself. We're going to multiply both sides of the equation by the 10.4 minutes. On the right, the 10.4 minutes cancel out on the left, the minutes units cancel out. And so now we just have 10.4 multiplied by 0.67. Radiance, 10.4 multiplied by 0.67 is 6.968. Still keep our radiance that's equal to theta. If you look at our answer choices, everything is round to the 10th place. So our nine will round up and we'll have an answer of approximately 7.0 radians. We look at our answer choices and that matches with answer choice. B well done. We'll catch you on the next one.