A car is traveling at 30 meters per second and its tires are spinning at a rate of 100 revolutions per second. What is the radius of the car’s tires?



Answer :

The radius of the cars tier is 0.04m

A circumference is a line that goes around or encircles a circle.

The radius of a circle is the distance between the circle's center and any point on its circumference.

Given that

The number of revolutions = 100 m/s

Speed of car = 30 m/s.

Formula used:

Circumference of wheel = 2 [tex]\pi[/tex]r

Distance in one revolution = 30/100

Distance in one revolution = 0.3 m

This gives that the circumference of the wheel is 0.3 is equal to 2πr, where r is the radius of the tire

0.3 = 2 x 22/ 7 x r , where [tex]\pi[/tex] = 22/7

⇒ r = 2.1/44,

⇒ r = 0.04 m

Therefore the radius of the car's tier is 0.04 m.

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