Helpful steps please, a wheel with a 14 inch diameter is turning at a rate of 34 revolutions per minute. to the nearest inch what is the speed of a point on the rim in in./min?

Question

campbell_st · Answer

ok.. do have you calculated the circumference of the wheel..?

anonymous · Answer

no I'm confused on how to even start this problem.

kohai · Answer

Let's start with, do you know the formula for the circumference of a circle?

kohai · Answer

Meh, nevermind, you don't even need that. You're in physics looking for angular speed. Do you still need help with this problem?

anonymous · Answer

s= 2pi *r right?

anonymous · Answer

So do I just use  w= v/r ? I still need help yes

kohai · Answer

You're going to do v=rw, where r is the radius and w is the angular speed. Do you know how to calculate r?

kohai · Answer

Err I meant w

kohai · Answer

To calculate it, it's 2pi*the revolutions, so 2pi*34. But keep it in terms of pi, don't multiply it by 3.14

anonymous · Answer

so w= 68pi

kohai · Answer

Yeah. Now multiply that by the radius

anonymous · Answer

the radius is 7 right so 476pi?

anonymous · Answer

oh wait

anonymous · Answer

1495pi?

kohai · Answer

476pi looked right to me. That should be in in/min, since the radius is in in and the w is in rad/min. Here's an example problem that's just like this for you to go back and look at if you need more help. They convert it from in/min to mi/hr though.

kohai · Answer

Does that help you?

anonymous · Answer

yes thanks :)

kohai · Answer

Awesome :) Normally you should post this in physics, most people frown upon posting in wrong sections. Good luck with physics, just took my test on this last week :)

anonymous · Answer

oh no this is Trigonometry but I probably should have specified

kohai · Answer

Weird that it's for trig, this is a physics topic lol. Oh well. Was 476pi an answer choice?