Question

A wheel of diameter of .35m spins with an angular velocity of 188 radians per second. Find the linear velocity of the wheel.

Answer 1

No idea, on how to solve this. I know the formula for liner velocity is v=dt. How do i get the time from the angular velocity?

Answer 2

D two parts.
188 radians per sec is (188/2 pi) revolutions per sec = 29.9/sec
each revolution gives distance of pi D, the circumference
so, v = pi D (29.9/sec) = 32.9 m/s

Answer 3

@douglaswinslowcooper I ended up utilizing another formula and I got the same results. Do you mind explaining me another question?

Answer 4

I came up with the following:
w=theta/t and Vt= wr

I set them equal to each other since they cover the same time, however, different distances.

w=theta/t=wr then I cancelled out the w, and got t= theta/r, the problem is that my units don't add up .

Answer 5

linear velocity= angular velocity * radius
hence v= 188 * (35/2) cm/sec
v = 3290 cm/sec = 32.9 m/sec