What is the tangential speed of a passenger on a Ferris wheel with a radius of 19 m and rotates once in 38 s?

Question

_____ m/s

Answer 1

The tangential velocity is the radius multiplied by the angular velocity in radians/sec.

Answer 2

The tangential speed, v, is equal to rw, where r is the radius and w is the angular velocity (in terms of radians per time). A full rotation is equal to 2*pi radians. So this problem tells you that you rave a rotation of 1 revolution / 38 s, which can be rewritten as (1 rev / 38 s)(2*pi rad / rev) = 2*pi/38 rad/s = pi/19 rad/s = w. You were given the radius of 19 m, so v = rw = (19 m)(pi/19 rad/s) = pi m/s, because radians are dimensionless.

Answer 3

c = pi * d
c = 3.14 * 38
speed = c / 38 = 3.14 * 38 / 38 = 3.14 m/s