Find the angular speed ω for each of the following.

Question

a gear revolving 300 times per min

Accepted Answer

Welcome back. I am so glad you're here. We're told that a clay pot being molded is revolving at 20 times per minute. Calculate its angular speed. Omega our answer choices are answer choice. A 40 pi radians per minute. Answer choice B 20 pi radians per minute. Answer choice C 80 pi radians per minute and answer choice. D 30 pi radians per minute. All right. What we need to remember here is that one revolution equals two pie radiance once around the circle is two pi radiance. So we're told that this is revolving at 20 times per minute. That's 20 revolutions per minute. And we want to convert this in terms of radiance. So we'll use unit conversion. We'll multiply this by, you know, one revolution is equal to two pi radians. We'll put two pi radians in the numerator and one revolution in the denominator. And then our revolution units cancel out. We multiply straight across and we've got 20 multiplied by two pi which is 40 pi then we still have radiance. And in the denominator, we don't have any numbers, we just have the minute unit. And because omega our angular speed is expressed in terms of theta divided by T or our radiance divided by time, we have our answer in the proper form. It's 40 pi Radians per minute. We look at our answer choices and this matches with answer choice. A well done. We'll catch you on the next one.

Find the angular speed ω for each of the following.

a gear revolving 300 times per min

Key Concepts

Angular Speed

Conversion of Units

Revolutions to Radians

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