Medal award! Can someone help me? If this circle (disc) spins 20 revolutions per minute, what is the angular speed? what would the linear speed be at point p in m/s?

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Medal award! Can someone help me? If this circle (disc) spins 20 revolutions per minute, what is the angular speed? what would the linear speed be at point p in m/s?

Mathematics
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2.1 = angular speed.
37.7 linear speed.

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how do you set it up?
well for linear speed, it is [circumference times 20] divided by 60
so, wait soryr. i calcualted wrong units.
it'd be 10.47 for linear speed.
and angular speed is linear speed/r is one formula for angular speed.
i'm not sure how to figure out the circumference :/
angular speed = 2pi(frequency) = 2pi / (period) = linear speed / radius.
area of circle is (pi)r^2. circumference is 2pi(r).
wait, sorry, legit confused here, why are they teaching you revolutions and such without teaching how to find circumference/
no i'm just confused about how the circumference is applied here..
because all that is know is the radius and the 40 degrees
well, think of it like a wheel rolling. if a wheel rolls 20 times, how would you figure out how far it has rolled? Well, the way to think about it is, what if you took a belt, and made it into a circle with radius 5? now, straigten the belt. now take 20 belt lengths. that's what i'm doing here.
if a wheel rolls once, the distance it covers on the ground is 1 circumference. get it?
oh ok :) thanks
in terms of figuring out the angular and linear speeds how would I apply this rule?
well for linear speed, it's the same as finding speed of a car. total distance divided by total time. so 20 revoltuions divided by 60 seconds.
and if you scroll up, you'll see teh three equations i posted that you can use to find angular speed.
oh ok thanks so much I just got confused because when I divided 20/60 I got .333 repeating and not 10.47
glad you figured it out.

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