Question

Vishnu rolls a wheel along the straight line PQ which is 440 cm long. The wheel completes exactly 10 revolutions to reach Q from P. What is the DIAMETER of the wheel?

Answer 1

Answer:

Step-by-step explanation:

Diameter of the wheel (d) = 80 cm

Time(t)=10 minutes

speed (s)= 66 km/h

now Radius of the wheel (r)=d/2 = 80/2= 40 cm

Distance covered in 1 revolution = Circumference of the wheel

= 2. pi.r

=2×(22/7)×40

=(44×40)/ 7

=1760/7

Now Speed =distance/time

=>distance= speed*time (minute converted to hour ie 1min=1 hr/ 60)

=66 *(10/60)

=11km

=11*1000m

=11*1000*100 cm

=1100000

Number of revolution= total distance / distance covered in 1 revolution

=1100000/(1760/7)

=7700000/1760

=4375

Hope this Helps you.

Answer 2

distance covered in 10 revolutions =440cm
distance covered in 1 revolutions =440/10 =44cm

circumference of wheel =44cm
$2\pi \times r = 44$
2×22/7×r=44
r=44×7/44
r =7cm

diameter of wheel=14cm .


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