The tallest Ferris wheel in the world is located in Singapore. Standing 42 stories high and holding as many as 780 passengers, the Ferris wheel has a diameter of 150 meters and takes approximately 30 minutes to make a full circle. Determine the speed of riders (in m/s and mi/hr) on the Singapore Flyer. (GIVEN: 1.00 m/s

Given Information:

Time period = T = 30 minutes

Diameter of wheel = d = 150 m

Required Information:

speed in m/s = ?

speed in mi/hr = ?

Answer:

speed in m/s = 0.262

speed in mi/hr = 0.586

Explanation:

The speed is given by

speed = distance/time

distance = 2πr

therefore,

v = 2πr/T

where r is the radius of wheel and T is the time taken to complete one full cycle.

T = 30*60

T = 1800 seconds

r = d/2

r = 150/2

r = 75 m

v = 2π*75/1800

v = 0.262 m/s

v = 0.262 m/s * 3600/1609

v = 0.586 mi/hr

Given:

D = 150 m

w = 30 rpm

To rad/s,

30 rev/min * 2pi rad/1 rev * 1 min/60 s

= 3.142 rad/s

v = w * r

v = 3.142 * 75

= 235.65 m/s

In mi/hr,

235.65 m/1 s * 1 mi/1608.344 m * 3600 s/1 hr

= 527.5 mi/hr.