# The radius of a wheel is 0.25m. Find the number of revolutions it will make to travel a distance of 11kms.

Answer

Verified

362.4k+ views

Hint: To solve this question we find the distance covered by the wheel in 1 revolution. Then we find the number of revolutions made for 11kms using direct proportion property. $\left( {{{\text{x}}_1}{{\text{y}}_2} = {{\text{x}}_2}{{\text{y}}_1}} \right)$.

Complete step-by-step answer:

Given Data: Radius of the wheel (r) = 0.25m

Distance covered in 1 revolution = Circumference of the wheel

= 2πr

= 2 × $\dfrac{{22}}{7}$ × 0.25

= $\dfrac{{11}}{7}$m.

Given total distance = 11km = 11000m.

The number of revolutions and the distance covered are in direct proportion. (I.e. if one value increases the other value increases).

(Total distance = total number of revolutions × distance covered in 1 revolution)

Then the number of revolutions = 11000 × $\dfrac{7}{{11}}$

= $\dfrac{{77000}}{{11}}$

= 7000.

Therefore the number of revolutions = 7000.

Note: In such types of problems it is important to identify if the variables are either in direct proportion or indirect proportion and then apply the respective formula.

The variables are in direct proportion if one decreases/ increases with the decrease/increase in the other respectively.

The variables are in inverse proportion if one increases/decreases with the decrease/increase in the other respectively.

Complete step-by-step answer:

Given Data: Radius of the wheel (r) = 0.25m

Distance covered in 1 revolution = Circumference of the wheel

= 2πr

= 2 × $\dfrac{{22}}{7}$ × 0.25

= $\dfrac{{11}}{7}$m.

Given total distance = 11km = 11000m.

The number of revolutions and the distance covered are in direct proportion. (I.e. if one value increases the other value increases).

(Total distance = total number of revolutions × distance covered in 1 revolution)

Then the number of revolutions = 11000 × $\dfrac{7}{{11}}$

= $\dfrac{{77000}}{{11}}$

= 7000.

Therefore the number of revolutions = 7000.

Note: In such types of problems it is important to identify if the variables are either in direct proportion or indirect proportion and then apply the respective formula.

The variables are in direct proportion if one decreases/ increases with the decrease/increase in the other respectively.

The variables are in inverse proportion if one increases/decreases with the decrease/increase in the other respectively.

Last updated date: 30th Sep 2023

•

Total views: 362.4k

•

Views today: 10.62k

Recently Updated Pages

What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is meant by shramdaan AVoluntary contribution class 11 social science CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

An alternating current can be produced by A a transformer class 12 physics CBSE

What is the value of 01+23+45+67++1617+1819+20 class 11 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers