Tuesday
March 31, 2015

Homework Help: Physics

Posted by James on Saturday, April 5, 2008 at 3:35am.

Two identical dragsters, starting from rest, accelerate side by side along a straight track. The wheels have identical angular acceleration. The wheels on one of the cars roll without slipping, while the wheels on the other slip during part of the time.
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(a) For which car, the winner or the loser, do the wheels roll without slipping?
The winner's wheels roll without slipping.

* Both dragsters reach the finish line at the same time.

The loser's wheels roll without slipping.



(b) For the dragster whose wheels roll without slipping, is there a relationship between its linear speed v (in m/s) and the angular speed (in rad/s) of its wheels?
Yes. The relationship is = rv, where r (in m) is the radius of a wheel.

There is no relationship between its linear speed and angular speed.

Yes. The relationship is v = r, where r (in m) is the radius of a wheel.

*Yes. The relationship is = v2/r, where r (in m) is the radius of a wheel.



(c) For the dragster whose wheels roll without slipping, is there a relationship between the magnitude a (in m/s2) of its linear acceleration and the magnitude (in rad/s2) of the angular acceleration of its wheels?

There is no relationship between the magnitude of its linear acceleration and the magnitude of the angular acceleration of its wheels.

*Yes. The relationship is a = 2/r, where r (in m) is the radius of a wheel.

Yes. The relationship is = ra, where r (in m) is the radius of a wheel.

Yes. The relationship is a = r, where r (in m) is the radius of a wheel.

The ones I selected for the answer has the * by them. Are the correct?

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