Book edition 14th edition

Author(s) Hugh D. Young, Roger A. Freedman

Pages 1596 pages

ISBN 9780321973610

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Short Answer

The following conversions occur frequently in physics and are very useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s². Use 1 ft = 30.48 cm to express this acceleration in units of m/s². (c) The density of water is 1.0 g/cm³. Convert this density to units of kg/m³.

(a) The velocity in ft/s is 88 ft/s.

(b) The acceleration in m/s² is 18.3 m/s².

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TABLE OF CONTENTS :

TABLE OF CONTENTS

Conversion in ft/s

Part (a)

The conversion in ft/s is shown below,

$60 m p h = 60 \frac{m i}{h} \times \frac{5280 f t}{1 m i l e} \times \frac{1 h}{3600 s} 60 m p h = 88 f t / s$

Thus, the value in ft/s is 88 ft/s.

Conversion in m/s2

Part (b)

The conversion in m/s² is shown below,

$32 f t / s^{2} = 60 \frac{f t}{h} \times \frac{30.48 c m}{1 f t} \times \frac{1 m}{100 c m} 32 f t / s^{2} = 18.3 m / s^{2}$

Thus, the value in m/s² is 18.3 m/s²

Conversion in m/s2

Part (c)

The conversion in kg/m³ is shown below,

$1 g / c m^{3} = 1 \frac{g}{c m^{3}} \times {(\frac{100 c m}{1 m})}^{3} \times \frac{1 k g}{1000 g} 1 g / c m^{3} = 1000 k g / m^{3}$

Thus, the value of density in kg/m³ is 1000 kg/m³.

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Conversion in ft/s

Conversion in m/s2

Conversion in m/s2

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University Physics with Modern Physics

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Conversion in ft/s

Conversion in m/s2

Conversion in m/s2

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