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Question

# A person's basal metabolic rate (BMR) is the rate at which energy is expended while resting in a neutrally temperate environment. A typical BMR is $7.00 \times 10^{6}$ J/day. Convert this BMR to units of watts. Find the rate of change of the object's height in m/s.

Solution

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We are given a power of 7$\cdot 10^6$ J/day. In order to convert this to watts, the only unit we need to change is the time, from day to seconds, since the watt is, by definition, one joule per second. So, we will have

$P=7\cdot 10^6~\mathrm{\frac{J}{day}\cdot \frac{1}{24}~\frac{day}{hour}\cdot \frac{1}{3600}~\frac{hour}{s}}.$

The result will be

$\boxed{P=81~\mathrm{W}}.$

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