A motorcycle is traveling at 42 miles per hour on tires that measure 1.2 feet in diameter. Find the approximate angular speed of the tires in radians per minute

angular speed = 10,266.424 radians per minute

Step-by-step explanation:

Angular speed w = Velocity (v) / radius (r)

w = 221760/0.6 = 369,600/5280 feet per hour = 70 miles per hour

Circumference of the wheel = 2πr

2π (0.6) = 3.77 feet

Converting feet to miles

3.77/5280 = 7.3 e-⁴ miles

No of revolutions = 369600 / 3.77 = 98,037. 14 revolutions per hour

Converting it to mins = 98,037.14/60 = 1634 rev per minute

2π rad = 1 rev

1634*2π = 10,266.424 radians per minute