I don't even know how to start this one, and my teacher isn't exactly forthcoming with hints.
A train rolls down a track at 60mph. It has wheels with radius = 15 in. The wheels contain a flange designed to hold the train on the track that extends 1 in from the radius of the riding surface.
Since Point A (on the flange) is farther from the center of the wheel than Point B (on the edge of the wheel), it is moving faster than B.
Due to this phenomenon, there is portion of the rotation that Point A is moving backward with respect to the ground.
Find the duration of this time period in seconds (Accurate to 10 decimals).
Hint: The answer is very near one hundredth of a second.
Any procedure needed to get the answer would be appreciated.
A train rolls down a track at 60mph. It has wheels with radius = 15 in. The wheels contain a flange designed to hold the train on the track that extends 1 in from the radius of the riding surface.
Since Point A (on the flange) is farther from the center of the wheel than Point B (on the edge of the wheel), it is moving faster than B.
Due to this phenomenon, there is portion of the rotation that Point A is moving backward with respect to the ground.
Find the duration of this time period in seconds (Accurate to 10 decimals).
Hint: The answer is very near one hundredth of a second.
Any procedure needed to get the answer would be appreciated.