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

θ = 3π/4 radians, t = 8 sec

Video transcript

Welcome back. I am so glad you're here. We are asked to solve for Omega by using the formula Omega equals theta divided by time we're given that theta is equal to seven pi divided by four radians and that T is equal to four seconds. Our answer choices are answer choice. A four pi radians per second answer choice. B seven pi divided by four radiance per second answer choice. C seven pi radiance per second and answer choice. D seven pi divided by 16 radians per second. All right. Well, we know the entire right hand side of the equations variables. So we can just plug those in, in the numerator instead of theta. We can put seven pi divided by four radians and that's divided by, instead of T, we can have four seconds. And now you can enter this into a calculator and solve for Omega. But if you don't have a calculator handy, I like to rewrite this seven pi divided by four radians and then put the division symbol and then have four seconds when we have fractions within a fraction. It's a little bit easier for me to visualize this. Now, we can multiply by the reciprocal of four seconds. So we'll have seven pi divided by four radians multiplied by 1/4 seconds. Now, we can just multiply straight across. In the numerator, we have seven pi and radiance and in the denominator four, multiplied by four is 16 and seconds. So we have an answer of seven pi divided by 16 radians per second. We look at our answer choices and this matches with answer choice. D well done. We'll catch you on the next one.