Chapter 1: Q. 24 (page 29)

Convert the following to SI units:
a. $8.0 i n$ b. $66 f t / s$
c. role="math" localid="1648656441116" $60 m p h$ d. role="math" localid="1648656467276" $14 i n^{2}$

Short Answer

Expert verified

a. $0.20 m$ b. $20.12 m / s$

c. $26.82 m / s$ d. $9.0 \times 10^{- 3} m^{2}$

Step by step solution

Part a Step 1: Introduction

The given digit $8.0 i n$ should be converted into the unit $m e t e r (m)$ that is the SI unit of length.

Now,role="math" localid="1648657437480" $1 i n = 2.54 m$

Conversion of the given digit

The conversion of $i n$ to $m e t e r$ is,

$8 i n \times (\frac{2.54 c m}{1 i n}) \times (\frac{10^{- 2} m}{1 c m}) = 0.20 m$

Part b Step 1: Introduction

The given digit should be converted from $f t / s$ to $m / s$ (SI unit of speed)

Now, $1 f t = 12 i n$ and $1 m = 39.37 i n$

Conversion of the unit

The conversion of $f t / s$ to $m / s$ is,

$66 f t / s = \frac{66 f t}{1 s} \times \frac{12 i n}{1 f t} \times \frac{1 m}{39.37 i n} = 20.12 m / s$

Part c Step 1: Introduction

The unit $m p h$ should be converted into $m / s .$

Now, $1 m i l e = 1.609 k m$

Conversion of unit

Converting the unit $m p h$ to $m / s$ we get,

role="math" localid="1648659834859" $60 m p h = (\frac{60 m i l e s}{1 h o u r}) \times (\frac{1.609 k m}{1 m i l e}) \times (\frac{10^{3} m}{1 k m}) \times (\frac{1 h o u r}{3600 s}) 60 m p h = 26.82 m / s$

Part d; Step 1: Introduction

The unit $i n c h^{2}$ should be converted into $m^{2} .$

Now, $1 m = 39.37 i n c h$

Conversion of units

Converting the unit $i n^{2}$ to $m e t e r .$

$14 i n^{2} = (14 i n c h^{2}) \times {(\frac{1 m}{39.37 i n c h e s})}^{2} 14 i n^{2} = 9.0 \times 10^{- 3} m^{2}$

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Convert the following to SI units:
a. $8.0 i n$ b. $66 f t / s$
c. role="math" localid="1648656441116" $60 m p h$ d. role="math" localid="1648656467276" $14 i n^{2}$

Short Answer

Step by step solution

Part a Step 1: Introduction

Conversion of the given digit

Part b Step 1: Introduction

Conversion of the unit

Part c Step 1: Introduction

Conversion of unit

Part d; Step 1: Introduction

Conversion of units

One App. One Place for Learning.

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Convert the following to SI units:a. 8.0in b.66ft/sc. role="math" localid="1648656441116" 60mph d. role="math" localid="1648656467276" 14in2

Short Answer

Step by step solution

Part a Step 1: Introduction

Conversion of the given digit

Part b Step 1: Introduction

Conversion of the unit

Part c Step 1: Introduction

Conversion of unit

Part d; Step 1: Introduction

Conversion of units

One App. One Place for Learning.

Most popular questions from this chapter

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Convert the following to SI units:
a. $8.0 i n$ b. $66 f t / s$
c. role="math" localid="1648656441116" $60 m p h$ d. role="math" localid="1648656467276" $14 i n^{2}$