Question

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

Answer 1

Answer:

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