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Chapter 18: Problem 33

During cycling, the human body typically releases stored energy from food at the rate of \(500 \mathrm{W},\) and produces about \(120 \mathrm{W}\) of mechanical power. At what rate does the body produce heat during cycling?

Short Answer

Expert verified
The rate at which the human body produces heat during cycling is \( 380 W \)

Step by step solution

01

Identify given variables

The total power released by the body (P_total) is given as \(500 W\). The mechanical power produced by the body (P_mechanical) is mentioned as \(120 W\)
02

Apply the conservation of energy principle

According to the energy conservation principle, the total power released by the body is equal to the sum of the mechanical power produced and the thermal power (heat) produced during cycling. Therefore, the heat produced can be found by subtracting the mechanical power from the total power released.
03

Calculation

Subtract the mechanical power (\(P_mechanical = 120 W\)) from the total power (\(P_total = 500 W\)) to get the heat power. Thus, Power_of_heat = \(P_total - P_mechanical = 500W - 120W = 380W\).

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