TRIGONOMETRY COLLEGE

Question

What is the circumference of a wheel if it travels at 60 km/hr and having an angular speed of 50 rpm.

SHOW THE SOLUTION

Answer 1

What we need is to get that value of just one revolution, and that would be the circumference of the wheel.

60 minutes = 1 hour

50 rpm (revolutions per minute) = 50 * 60 revolutions per hour

=3000 rev/ hr.

*The circumference (C) of the wheel has to have a unit of kilometers per revolution.

C = (60 km/hr)/ (3000 revs/hr)

C = 1/50 km/rev

C = .02 km = 20 meters.

Car normally runs at 1100-1200 rpm at a speed of 60 km/hr. So if you are running at 60km/hr with only 50 rpms, that must be a huge wheel.