PHL100Y1 Final: notes on all lectures

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orchidsardine172

27 Oct 2011

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Read: plato, republic book 3 (410c-end); book 4. Read: plato, republic book 5 (472b-end); book 6. Read: plato, republic book 7 (514-521 and 532b-end) Read: aristotle, nicomachean ethics, books 1, 2, 3. Read: aristotle, nicomachean ethics, books 6, 8, and 10 (ch. Test date tba. please note: the first-term test will be scheduled during the university"s official exam period. Please note: the first-term test will be scheduled during the university"s official exam period. Do not plan your vacation until you know this date! To put your belief into question is to take a risk and it hurts . is unsettling, it"s not mere contentment. Stealing your time, my time, and the time of the people around you. Lovers: the love of wisdom to give without expectation of return to give of yourself . Socrates distinction between argument for its own sake, false wisdom and love of wisdom.

Related Questions

Intrinsic value vs. Instrumental Value

Philosophy Question: Is wisdom (philosophy) something you value most, which you consider most vital to living a good life?

Is wisdom something mostly intrinsically valuable and so desired solely for its own sake? Or is wisdom also instrumentally valuable and so desired also for the sake of something else you desire/want? If so, what?

Instrumental Value

You value most things instrumentally, that is, as a means to some end. Usually, this is obvious and trivial. For instance, you value a washing machine that works—purely for its useful function, or instrumental value.

Intrinsic Value

There are two notions of intrinsic value. It can be:

Valuable in itself
Valued by someone for its own sake

If something has intrinsic value in the first sense, this means that the universe is somehow a better place for that thing existing or occurring.

Reference

Intrinsic vs. Instrumental Value A Basic Distinction in Moral Philosophy

coralmarten56

How fast can a racecar travel through a circular tum without skidding and hitting the wall? The answer could depend on several factors:

The weight of the car;
The friction between the tires and the road;
The radius of the circle;
The “steepness” of the turn.

In this project, we investigate this question for NASCAR racecars at the Bristol Motor Speedway in Tennessee. Before considering this track in particular, we use vector functions to develop the mathematics and physics necessary for answering questions such as this.

A car of mass m moves with constant angular speed to around a circular curve of radius R (Figure 3.20). The curve is banked at an angle . If the height of the car off the ground is h, then the position of the car at time t is given by the function

As the car moves around the curve, three forces act on it: gravity, the force exerted by the road (this force is perpendicular to the ground), and the friction force (Figure 3.21). Because describing the frictional force generated by the tires and the road is complex, we use a standard approximation for the frictional force. Assume that for some positive constant . The constant is called the coefficient of friction.

Let denote the maximum speed the car can attain through the curve without skidding. In other words, is the fastest speed at which the car can navigate the turn. When the car is navigate at this speed, the magnitude of the centripetal force is

The next three questions deal with developing a formula that relates the speed to the banking angle .

Now that we have a formula relating the maximum speed of the car and the banking angle, we are in a position to answer the questions like the one posed at the beginning of the project.

The Bristol Motor Speedway is a NASCAR short track in Bristol, Tennessee. The track has the approximate shape shown in Figure 3.22. Each end of the track is approximately semicircular, so when cars make turns they are traveling along an approximately circular curve. If a car takes the inside track and speeds along the bottom of turn 1, the car travels along a semicircle of radius approximately with a banking angle of . If the car decides to take the outside track and speeds along the top of turn 1, then the car travels along a semicircle with a banking angle of . (The track has variable angle banking.)

The coefficient of friction for a normal fire in Elly conditions is approximately . Therefore, we assume the coefficient for a NASCAR tire in dry conditions is approximately .

Before answering the following questions, note that it is easier to do computations in terms of feet and seconds, and then convert the answers to miles per hour as a final step.

11. Suppose the measured speed of a car going along the outside edge of the turn is . Estimate the coefficient of friction for the car’s tires.

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PHL100Y1 Final: notes on all lectures

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