12. The wheel of a car has a diameter of 24 cm. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?
☆Firstly, we’ve to find the circumference of the circular wheel which determines the distance in one revolution and we can multiply with 10to find the distance covered in 10 revolutions as:-
Answer:
45,257.14285 cm (Approx.)
Step-by-step explanation:
To Find:
Distance covered in one minute
The Solution:
The radius of the circle= 24/2= 12cm.
In one second, 10 revolutions.
In one minute, 60 seconds= 60×10=600 revolutions
Number of revolutions= Distance covered in one minute/ Circumference of the circle
Circumference of a circle is given, by 2πr.
Let π be 22/7.
= 2×22/7×12= 44/7×12= 528/7 cm
No. of revolutions= Distance covered in one minute/ (528/7)
600= Distance covered in one minute/ (528/7)
600×528/7= Distance covered in one minute ( Shifting 528/7 to the LHS)
316800/7= Distance covered in one minute
45,257.14285 cm (Approx.)= Distance covered in one minute.
☆Firstly, we’ve to find the circumference of the circular wheel which determines the distance in one revolution and we can multiply with 10 to find the distance covered in 10 revolutions as:-
[tex] \\ \dag \ {\red{\pmb{\underline{\boxed{\sf{ Circumference_{(Circle)} = 2πr }}}}}} \\ \\ \colon\implies{\sf{ 2 \times 3.14 \times 12 \times 10 }} \\ \\ \colon\implies{\sf{ 753.6 \ cm }} \\ [/tex]
So, We have find that wheel will covers 753.6 cm of distance in 10 revolutions that it make per second.
Actual Concept [tex] \bigstar [/tex]
We know that,
[tex] \implies{\blue{\pmb{\underline{\boxed{\sf{ 1 \ Minute = 60 \ seconds }}}}}} [/tex]
Now, we can find the Total distance covered in one minutes as:-
[tex] \colon\mapsto{\sf{ 753.6 \times 60 }} \\ \\ \colon\mapsto{\sf{ 45216 \ cm }} \\ [/tex]
Hence,
Wheel will cover 45216 cm of distance in One minute.