Question

a carriage wheel makes 1500 revolution in going over a distance of 4.5 km find it radius if answer this i will mark you brillant

Answer 1

Step-by-step explanation:

no. of revolutions=1500

distance= 4500 m

circumferhence= 3 m

circumferhence of circle= 2*22/7*r

300cm=2*22/7*r

75cm=11/7r

75*7=11r

525=11r

525/11 cm=r

Answer 2

Given :

$\rm{number \: of \: revolution \: by \: wheel = n = 1500}$

$\rm{distance \: covered \: by \: wheel = d= 4.5 \: km }$

since,

1 km = 1000 m

therefore,

$\rm{distance \: covered \: by \: wheel = d = 4500 \: m}$

To find :

Radius of Carriage wheel = r = ?

Solution :

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$\rm{circumference \: of \: wheel = \frac{d}{n} = \frac{4500}{1500} = 3 \: m}$

Hence,

Circumference of Wheel is 3 m

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Now,

As we know

$\boxed{ \bf{circumference = 2\pi \: r}}$

so,

$\rm{3 = 2 \times \frac{22}{7} \times r}$

$\rm{r = \frac{3}{2} \times \frac{7}{22} }$

$\boxed{ \boxed{ \red{ \bf{r = \frac{21}{44} \: m }}}}$

Hence,

Radius of wheel is 21 / 44 m.

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