A car goes at 132 km per hour. If the diameter of its wheels is 0.35 meter, find how many times its wheel rotates in one minutes.
Answers
ans = 2000 rotations
sorry for my mistakes in pic.
thanks..
Step-by-step explanation:
Given :-
A car goes at 132 km per hour. The diameter of its wheels is 0.35 meter.
To find:-
Find how many times its wheel rotates in one minutes?
Solution :-
Given that :
Diameter of the wheel of a car (d)
= 0.35 m
Since the wheel of the car is in the shape of circle then
Total distance covered by one rotation is its circumference of the wheel
We know that
Circumference of a circle = 2πr or πd units
Where ,r is the radius and d is the diameter and π = 22/7
Circumference of the wheel =
=>C = (22/7)×(0.35) m
=>C = (22/7)×(35/100)
=>C = (22×35)/(7×100)
=>C = (22×5)/100
=> C = 110/100
=> C = 1.1 m
Circumference of the wheel = 1.1m
It covers 1.1 m in one rotation with the speed of 132 km/hr
The speed of the car = 132 km /hr
The speed of the car
=> 132×(1000/60) m/m
=> 132000/60 m /m
=> Speed = 2200m/m
We know that
Distance = Speed ×time
Distance covered by 1 minute
=>(2200)/1 m
=> Distance = 2200m
The number of rotation in one minute
= Distance / Circumference
= (2200/1.1
=>( 2200)/(11/10)
=> (2200×(10/11)
=> (2200×10)/(11)
=> 22000/11
=> 2000
Total rotations =2000
Answer:-
The number of rotations made by the wheel of the car in one minute is 2000
Used formulae:-
1.Circumference of a circle = 2πr or πd units
Where ,r is the radius
and d is the diameter
and π = 22/7
2.Distance = Speed ×time