(a) A bumblebee flies with a ground speed of \(15.2 \mathrm{~m} / \mathrm{s}\). Calculate its speed in \(\mathrm{km} / \mathrm{hr}\). (b) The lung capacity of the blue whale is \(5.0 \times 10^{3} \mathrm{~L}\). Convert this volume into gallons. (c) The Statue of Liberty is \(151 \mathrm{ft}\) tall. Calculate its height in meters. (d) Bamboo can grow up to \(60.0 \mathrm{~cm} /\) day, Convert this growth rate into inches per hour.

Short Answer

Expert verified
(a) \( 54.72 \frac{\mathrm{km}}{\mathrm{hr}} \) (b) \( 1320.86 \mathrm{~gal} \) (c) \( 46.02 \mathrm{~m} \) (d) \( 0.9843 \frac{\mathrm{in}}{\mathrm{hr}} \)

Step by step solution

01

Problem (a): Convert m/s to km/hr

To convert meters per second to kilometers per hour, we need to multiply by a conversion factor that cancels out the meters and seconds, and introduces kilometers and hours. We know that \( 1 \mathrm{~km} = 1000 \mathrm{~m} \) and \( 1 \mathrm{~hr} = 3600 \mathrm{~s} \). So, we can set up the conversion as follows: \[ 15.2 \frac{\mathrm{m}}{\mathrm{s}} \times \frac{1 \mathrm{~km}}{1000 \mathrm{~m}} \times \frac{3600 \mathrm{~s}}{1 \mathrm{~hr}} \] Now perform the calculations and cancel out the units step by step.
02

Problem (b): Convert liters to gallons

To convert liters to gallons, we need to know the conversion factor that relates liters and gallons. We know that \( 1 \mathrm{~L} \approx 0.264172 \mathrm{~gal} \). So, we can set up the conversion as follows: \[ 5.0 \times 10^3 \mathrm{~L} \times \frac{0.264172 \mathrm{~gal}}{1 \mathrm{~L}} \] Now perform the calculations and cancel out the units step by step.
03

Problem (c): Convert feet to meters

To convert feet to meters, we need to know the conversion factor that relates feet and meters. We know that \( 1 \mathrm{~ft} \approx 0.3048 \mathrm{~m} \). So, we can set up the conversion as follows: \[ 151 \mathrm{~ft} \times \frac{0.3048 \mathrm{~m}}{1 \mathrm{~ft}} \] Now perform the calculations and cancel out the units step by step.
04

Problem (d): Convert cm/day to in/hr

To convert centimeters per day to inches per hour, we need to know the conversion factors that relate centimeters, inches, days, and hours. We know that \( 1 \mathrm{~in} \approx 2.54 \mathrm{~cm} \) and \( 1 \mathrm{~day} = 24 \mathrm{~hr} \). So, we can set up the conversion as follows: \[ 60.0 \frac{\mathrm{cm}}{\mathrm{day}} \times \frac{1 \mathrm{~in}}{2.54 \mathrm{~cm}} \times \frac{1 \mathrm{~day}}{24 \mathrm{~hr}} \] Now perform the calculations and cancel out the units step by step.

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