Question

The Texas Star Ferris wheel is the most popular ride at the Texas State Fair. It has a radius of 65.8 meters. What is the tangental velocity of the cars if the Ferris wheel takes 180 seconds for the cars to go around once?

V =
cars if the Ferris wheel takes 180 seconds for the cars to go around once? Use the equation
T where 11-3.14

Answer 1

The tangential velocity for the cars are approximately 2.3 m/s

Step-by-step explanation:

The given parameters are;

The radius of the Texas Star Ferris wheel, r = 65.8 mete secondsrs

The time it takes the Ferris wheel to go round once = 180 seconds

The angular velocity, ω = Change in angle rotated/(Time duration of the change)

ω = Δθ/Δt = 2·π/180

The tangential velocity for the cars,
`v_t` = ω·r = 2 × 3.14/180 × 65.8 ≈ 2.3 m/s

The tangential velocity for the cars,
`v_t` ≈ 2.3 m/s.