Q. 32 Estimate the average speed with ... [FREE SOLUTION]

Chapter 1: Q. 32 (page 30)

Estimate the average speed with which the hair on your head grows. Give your answer in both m/s and mm/hour. Briefly describe how you arrived at this estimate.

Short Answer

Expert verified

The average speed with which the hair on your head grows is $9.77 脳 10^{- 9} \frac{m}{s}$ or $35.2 \frac{渭 m}{h o u r}$ .

Step by step solution

Assumption

If a person trims an inch of hair every month for a haircut.

$1 i n c h = 0.0254 m$

$1 m o n t h = 30 脳 24 脳 60 脳 60 = 2.6 脳 10^{6} s$

Average speed

An average speed is given by $v = \frac{鈭� r}{鈭� t}$ .

The average speed of hair growth is

$v = \frac{0.0254 m}{2.6 脳 10^{6} s} = 9.77 脳 10^{- 9} m / s$

Conversion

Convert an obtained answer from $\frac{m}{s}$ to $\frac{渭 m}{h o u r}$ .

$1 渭 m = 1 脳 10^{- 6} m 1 h o u r = 60 脳 60 = 3600 s$

role="math" localid="1648565642242" $v = (9.77 脳 10^{- 9} \frac{m}{s}) (\frac{10^{6} 渭 m}{1 m}) (\frac{3600 s}{1 h o u r}) = 35.2 \frac{渭 m}{h o u r}$

Therefore, the average speed with which the hair on your head grows is $9.77 脳 10^{- 9} \frac{m}{s}$ and $35.2 \frac{渭 m}{h o u r}$ .

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91影视

Estimate the average speed with which the hair on your head grows. Give your answer in both m/s and mm/hour. Briefly describe how you arrived at this estimate.

Short Answer

Step by step solution

Assumption

Average speed

Conversion

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