The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel
1.65 km?
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Answers
Answer:
revolutions
Step-by-step explanation:
Given : Diameter of wheel (D)= cm
To find : Number of revolutions of wheel to travel km distance.
Solution :
Diameter of the wheel = cm
∴ Radius of wheel =
=
= cm
Now, calculating circumference of the wheel, we have
Circumference of wheel = π
=
= cm
Now, the travelling distance is km.
Converting this distance in cm, we get
= cm
By dividing this distance in cm by circumference of wheel, we get the number of revolutions.
∴ Number of revolutions of wheel =
=
∴ Wheel of car has to make revolutions to travel km distance.
The diameter of the wheel is given
Diameter of the wheel (D)= 70 cm
We have to find the number of revolutions of the wheel to travel a 1.65 km distance.
Diameter of the wheel = 70 cm
∴ Radius of wheel = 70/2
= 35
First, we will calculate the circumference of the wheel,
Circumference of wheel = 2πr
=
= 220 cm
Now, the traveling distance is in km.
We will convert this distance in cm, we get
= 165000 cm
By dividing this distance in cm by the circumference of the wheel, we get the number of revolutions.
∴ Number of revolutions of wheel =
= 750
∴ The wheel of the car has to make 750 revolutions to travel 1.65 km distance.