a wheelof diameter 0.70 meterolls without slipping. a point at the top of the wheel moves with a tangential speed of 2.0 meter/second.

a) at what speed is the axis of the wheel moving?
b) What is the angular speed of the wheel?

3 answers

Circumference = pi*D = 3.14 * 0.7m = 2.20 m.

b. Va = 2m/s * 6.28rad/2.20m=5.71 rad/s = Angular velocity.
The above answer is wrong, 1.b is actually 2.857 rad/s.W = v/r
W = 1/.35m

W = 2.86 rad/s
How can Va = 1m/s
The Tangential velocity is equal to its linear speed
Which is equal to the velocity of the center of mass.
V = 2Pi R/t = D/t
So
Va has to be = to 2m/s
I think the answer key is wrong
So
Va = 2m/s
and w= 5.7r/s