Confused again with radians and angular velocity?

Question

I'm having real trouble with maths. I missed the class and my books are really confusing. I've had a bash but I think my answer is really wrong. Can someone check it and tell me if i'm wrong. If so PLEASE include the theory not necessarily the answer so I can learn!
Thank you x

Q: A wheel is turning at 200 rev/min. Express this angular velocity in:
a) deg/s
b) rad/s LEAVING π IN THE ANSWER

My answer:
a) I did this two ways and still came to the same answer of 1200 degrees.
b) I got very confused here and came out with an obscure 100π/30

HELP!

Answer 1

Part a)
ω = 200 (360) / 60 ° / s
ω = 1200 ° / s

Part b)
360° = 2π rad
1200 ° = (1200 / 360) x 2π rad
1200 ° = (240 / 36) π rad
1200 ° = 20 π / 3 rad
ω = (20π / 3) rad / s

Answer 2

We have this conversion

1 revolution = 360 angular degree = 2 pi radian = 2 * 3.1416

a)200 rev/min * 360/rev * 1 min/60 sec = 1200 deg / sec

b) 200 rev/min * 2 pi rad/1 rev * 1 min/60 sec = 400/60 pi

rad/sec

40/6 pi rad/sec

Answer 3

Ok. let' s see. A full circle is 2 pi radians = 360 degrees. I f a wheel is turning at 200 rev/min, then this is 200 full circles in 1 minute. Angular velocity is angle / time.

1st problem: 200 * 2 * pi [rad] / (60 [s]) = 6.7 rad / s = 6.7 * 360 / (2 * pi) deg/s = 382 deg / s

Answer 4

When a wheel turns 1 revolution it means it has made a complete 360°. That is, 1 revolution = 360°
a)
Now, if a wheel makes 200 revolutions in a MINUTE, it means that it has made:
200 revolutions x (360°/1 revolution) = 72000°per minute.

Let's change 1 minute to seconds. Of course, we know that there are 60 seconds in 1 minute; hence, we can write our answer this way:
72000°/60 seconds = 1200°/sec ANS

b) We know that for every 360° that is equivalent to 2π radians. That is,
360° = 2π radians
Let's convert our answer in (a) to radian/sec:
(1200°/sec)(2π radians/360°) = (20π/3)rad/sec ANS

I hope I help you.

teddy boy

Answer 5

a) 200 revolution in one minute
Which means 200 revolution in 60 seconds .
in one second = 200/60 rev = 10/3 revolution per second.

one revoltuion = 360
10/3 = 10/3x360 = 1200 Degrees per second .

b) 2π=360
1200 = x
x= 1200x2π/360 = 20π/3
20π/3 radians in one second

Answer 6

a) 200 rev/min
= 200 (360 deg) / (60 sec)
= 1,200 deg/sec,

b) 200 rev/min
= 200 (2 pi rad) / (60 sec)
= (20/3) pi rad / sec.

by fidel_castro_001, grade 1, lol!!