The first Ferris wheel was 250 feet in diameter. It was invented by John Ferris

Question

The first Ferris wheel was 250 feet in diameter. It was invented by John Ferris in 1893. Assuming it made one revolution every 30 second, what was the angular speed of a passenger (assume the passage is on the edge of the wheel) in degree per second? What was the passenger's linear speed in feet per minute? The first Ferris wheel was 250 feet in diameter. It was invented by John Ferris in 1893. Assuming it made one revolution every 30 second, what was the angular speed of a passenger (assume the passage is on the edge of the wheel) in degree per second? What was the passenger's linear speed in feet per minute?

Explanation / Answer

One revloution = 360°

Given, one revloution in 30 secs

Angular speed = 360/30 = 12 degree/sec

(B)

Linear speed = angular speed x r

Anuglar speed in radians = 2/30 = /15 radians per second

Linear speed = (/15) x (250/2) = 125/15 = 25/3 feet per second

= (25/3) x (1/60) = 5/36 feet per minute = 0.436 feet per minute

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