- #1
kellyneedshelp
- 41
- 0
I'm trying to figure out the following problem but I don't know where to begin:
Two wheels of diameter 0.78m are attached to opposite ends of an axle of length 1.6m. The wheels roll around a circular track of inside radius 9m.
a) Through what angle around the circular track must the axle assembly move so that the outer wheel makes one revolution more than the inner wheel?
b) What is the ratio of the angular speeds of spin of the two wheels? The differing angular speeds of the wheels is the reason for the differential in the drivetrain of a car or a truck.
I need help visualizing the wheels and axle, and the track, because right now the way I am thinking of the problem, the inside and outside wheel would always move at the same angle as one another, so clearly I must not be thinking of the problem correctly.
If anyone could help me understand the set-up then maybe I could solve the actual problem. Any help would be greatly appreciated.
Thanks!
Two wheels of diameter 0.78m are attached to opposite ends of an axle of length 1.6m. The wheels roll around a circular track of inside radius 9m.
a) Through what angle around the circular track must the axle assembly move so that the outer wheel makes one revolution more than the inner wheel?
b) What is the ratio of the angular speeds of spin of the two wheels? The differing angular speeds of the wheels is the reason for the differential in the drivetrain of a car or a truck.
I need help visualizing the wheels and axle, and the track, because right now the way I am thinking of the problem, the inside and outside wheel would always move at the same angle as one another, so clearly I must not be thinking of the problem correctly.
If anyone could help me understand the set-up then maybe I could solve the actual problem. Any help would be greatly appreciated.
Thanks!