Question

The radius of a cart wheel is 35 cm. How many revolution does it make in travelling
a distance of 154 m​

Answer 1

Step-by-step explanation:

let n be the no. of revolutions & r be the radius of wheel

n*2π*r = 154

n = 154*7/(2*22*0.35) = 70

so the wheel will make 70 revolutions

Answer 2

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Given:-

• the radius of a cart wheel = 35cm
• distance travelled = 154m

Convert the units to same system. In this case, change the unit of distance travelled from metres to centimeters.

1m = 100 cm

•°• 154m = 15400 cm

To find :-

• Number of revolutions made by the cart wheel.

Solution :-

The shape of wheel is a circle. We are here by, asked to find the number of revolutions made by the cart wheel in covering a specific distance. So for this purpose, we will first calculate the circumference of the cart wheel.

Circumference of the circle = 2 π r

For this question,

Circumference of circle = Circumference of the cart wheel = 2πr

Plug the values,

Circumference = 2 × $\large\frac{22}{7}$ × 35

Circumference = 2 × 22 × 5

Circumference = 44 × 5

Circumference = 220 cm

Now, we have calculated the circumstance of the cart wheel, we can now find the number of revolutions made by the cart wheel.

Distance travelled = No. of revolutions × Circumference

As, here we need to find the number of revolutions, we will take number of revolutions to either side of the equal to sign and will perform the required action with other two.

No. of revolutions = $\bf\large\frac{Distance\:travelled}{Circumference \: of\:cart\:wheel}$

No. of revolutions = $\bf\large\frac{15400}{220}$

No. of revolutions = 70

•°• Number of revolutions made by the cart wheel in covering a distance of 154 m is 70.

Verification :-

Distance travelled = No. of revolutions × Circumference

15400 = 70 × 220

15400 = 15400

LHS = RHS.

Hence verified.