Angular speed simple math question

Question

A bicycles wheels are 24 inches in diameter. If the bike is traveling at a rate of 25 miles per hour. Find the angular speed of the wheels.

the angular speed is _____ radians per hour

Answer 1

Circumference=dpi; 24pi=75.4"/12=6.28'.

132,000'/hr/60=22,000'/m/6.28=350.14rpm.

Answer 2

Angular speed ω=v/r, where v is linear speed and r is radius.of wheels.

V = 25mi/h = 25mi•63360in/mi/3600sec = 440 in/sec,

ω = 440 in/sec/12 in 36.67 sec^-1