Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Unreasonable Results(a) An automobile mechanic claims that an aluminum rod fits loosely into its hole on an aluminum engine block because the engine is hot and the rod is cold. If the hole is 10.0% bigger in diameter than the 22.0ºC rod, at what temperature will the rod be the same size as the hole? (b) What is unreasonable about this temperature? (c) Which premise is responsible?

(a) $T_{f}=4025^{\circ} \mathrm{C}$(b) Aluminum(c) Linear expansion will not work in this situation.

Physics 101 Mechanics

Chapter 13

Temperature, Kinetic Theory, and the Gas Laws

Temperature and Heat

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

Lectures

03:31

(a) An automobile mechanic…

03:21

Unreasonable Results A sli…

07:16

At $20.0^{\circ} \mathrm{C…

02:16

A copper rod and an alumin…

01:31

06:19

A hole with a diameter of …

02:38

$\because$ A cylinder bore…

00:38

If it takes 4.5 $\mathrm{J…

02:11

If it takes 4.5 J of energ…

09:57

02:01

Is it possible to heat the…

06:41

02:39

Unreasonable Results(a…

00:27

An engineer claims that sh…

01:36

Unreasonable ResultsCa…

03:55

(II) A certain car has 14.…

02:53

(a) A cyclical heat engine…

06:53

A $1.00-\mathrm{kg}$ block…

04:45

A 1.00 -kg block of alumin…

04:26

A 1.00-kg block of aluminu…

so here we know that, uh, to find the effective temperature on the length of a kn aluminum rod used in the automobile for party, we can say that the change in length over the original length would be equaling Alfa the thermal expansion coefficient multiplied by the change in temperature. And so we can then say that we're going to substitute 1.1 so it's essentially a 10% increase in length and we can then solve for the change in temperature. This would be equaling 1.1, divided by the linear expansion coefficient for aluminum, and so this would be 25 times 10 to the negative sixth per degree Celsius. And we find that the change in temperature for party is equaling 44 1000 degree Celsius. So this would be our answer for part A. Therefore for part B. Ah, Rather, this would be a change in temperature, but the required temperature T would be equaling Delta T plus 22 degrees Celsius, and so this would be 44,000 22 degree Celsius. This would be our final answer. Four part A. The required temperature now for part B. What is unreasonable about this? Is that the temperatures? Of course. Too high. The temperature Oh, 44,022 degrees Celsius is much too high. Um is much too high. We know this because we can say that this temperature exceeds not even the mounting point. This exceeds the boiling point of aluminum, so we know that this temperature would essentially boiled the aluminum right out of the car. And so, for part C, what premise is unreasonable? Um, the 10% larger. So the aluminum rod expanding 10% greater, then it's original length is, um unreasonable. Uh, there's almost no material that would expand 10% greater than its original length. So that's the That's the premise that is making us essentially get this extreme extreme temperature. Because, of course, the linear expansion coefficient for aluminum that's a given. So the only thing that's the only premise that's really, um on fathom, unfathomable in this case would be, er, the X, the expansion of 10%. It's too too great for any material that is the end of the solution. Thank you for watching

View More Answers From This Book

Find Another Textbook

(a) An automobile mechanic claims that an aluminum rod fits loosely into its…

Unreasonable Results A slightly deranged Arctic inventor surrounded by ice t…

At $20.0^{\circ} \mathrm{C},$ an aluminum ring has an inner diameter of 5.00…

A copper rod and an aluminum rod of equal diameter are joined end to end in …

A hole with a diameter of $0.85 \mathrm{cm}$ is drilled into a steel plate. …

$\because$ A cylinder bore in an aluminum engine block has a diameter of…

If it takes 4.5 $\mathrm{J}$ of energy to warm 5.0 $\mathrm{g}$ of aluminum …

If it takes 4.5 J of energy to warm 5.0 g of aluminum from 25 °C to a certai…

At $20.0^{\circ} \mathrm{C}$, an aluminum ring has an inner diameter of $5.0…

Is it possible to heat the aluminum of Problem 39 to a high enough temperatu…

Unreasonable Results(a) Suppose you want to design a steam engine that h…

An engineer claims that she could build a more efficient automobile engine i…

Unreasonable ResultsCalculate the cold reservoir temperature of a steam …

(II) A certain car has 14.0 L of liquid coolant circulating at a temperature…

(a) A cyclical heat engine, operating between temperatures of $450^{\circ} \…

A $1.00-\mathrm{kg}$ block of aluminum is warmed at atmospheric pressure so …

A 1.00 -kg block of aluminum is warmed at atmospheric pressure so that its t…

A 1.00-kg block of aluminum is warmed at atmospheric pressure so that its te…

01:43

You can smell perfume very shortly after opening the bottle. To show that it…

01:10

Nuclear fusion, the energy source of the Sun, hydrogen bombs, and fusion rea…

02:49

Unreasonable ResultsSuppose the relative humidity is 80% on a day when t…

01:18

Calculate the effective resistance of a pocket calculator that has a 1.35-V …

01:20

16.10 Superposition and lnterferenceA car has two horns, one emitting a …

01:39

Suppose you have a device that extracts energy from ocean breakers in direct…

04:10

The amplitude of a sound wave is measured in terms of its maximum gauge pres…

01:53

Engineering Application Near the top of the Citigroup Center building in New…

06:36

Refer to Figure 21.7 and the discussion of lights dimming when a heavy appli…

07:15

Suppose a 0.250 -kg ball is thrown at 15.0 $\mathrm{m} / \mathrm{s}$ to a mo…