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Integrated Concepts(a) Suppose you start a workout on a Stairmaster, producing power at the same rate as climbing 116 stairs per minute. Assuming your mass is 76.0 kg and your efficiency is 20.0% , how long will it take for your body temperature to rise $1.00^{\circ} {C}$if all other forms of heat transfer in and out of your body are balanced? (b) Is this consistent with your experience in getting warm while exercising?

$\begin{array}{ll}{\text { Part }(\mathrm{a}) :} & {t=97.1 \mathrm{s}} \\ {\text { Part }(\mathrm{b}) :} & {\text { Yes. }}\end{array}$

Physics 101 Mechanics

Chapter 14

Heat and Heat Transfer Methods

Thermal Properties of Matter

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number 70 you're on StairMaster and producing the same power as if you're going up 116 stairs per minute. You have a mass of some nuisance kilograms, but you're only 20% efficient. I don't know. How long does it take to raise your temperature? One degree first? It doesn't seem like there's enough information here, but there is a table. If you look at Table 7.8, it tells you that this is exactly on the table to do 116 stairs per minute. It requires the power of 685 watts. But it says that you're 20% efficient so that I mean this is 20% of your energy. That's what's going into going with stairs. It's the 80% the other 80% that is raising your temperature. So I just did a little proportion here. You know, if if 20% is 6 85 words, 80% is how much So just do a little cross multiply divide, and I get that the 80% must be 27 40. What's so that's what's raising the temperature. So I just thought of a little power equation here. Powers like energy per time. Some kind of jewels per second. So this could be heat per time. And we're not changing phase. We're just changing temperature. So this is an M civility. We're looking for the time it takes to do that. If your power is 27. 40 we're giving the mass is 76 kilograms. I looked up on the table a stable 14.1. The specific heat of the body. The one that was in jewels. So 3500. And we won't know. We want to change the temperature one degree. Everyone know how much time that takes took that you ever brought this under And to get a time of 97.1 seconds of import, be it iscause. That is reasonable. Some consistent with your experience of getting warm. Yeah. It doesn't mean this is like a minute and 1/2. Yeah, After a minute of in half of time, I'm definitely raising my temperature. If I'm using a Stairmaster, so yes,

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