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

Question

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

r = 12 m , ω = 2π/3 radians per sec

Accepted Answer

Welcome back. I am so glad you're here. We are asked to solve for V by using the formula V equals R Omega. We are given that R equals 18 m and Omega equals 11 pi divided by six radians per second. Our answer choices are answer choice. A 24 pi meters per second. Answer choice B 36 pi meters per second. Answer choice, C 33 pi meters per second and answer choice. D 22 pi divided by 3 m per second. All right. So we're solving for V, that's the left hand side of the equation. We just need to multiply R and Omega. So R is 18 m. We're going to multiply that by Omega which is 11 pi divided by six radians per second. And so we can just multiply straight across with our fractions 18, multiplied by 11 is 198. We still have pi there and then we have meters in the numerator. We're not going to hold on to the radiance because our linear speed is expressed in terms of distance per time. So we'll just have the meters in the numerator there. In the denominator. We just have six and seconds. We can divide 198 by six and that's 33. So that'll be 33 pi meters per or meters divided by seconds. And there is our V, we look at our answer choices and this matches with answer choice. C well done. We'll catch you on the next one.

Struggling with Trigonometry?

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

r = 12 m , ω = 2π/3 radians per sec

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Defining the Unit Circle practice set

Struggling with Trigonometry?

Use the formula v = r ω to find the value of the missing variable.r = 12 m , ω = 2π/3 radians per sec

Watch next

Defining the Unit Circle practice set

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

r = 12 m , ω = 2π/3 radians per sec