Question

the driving wheel of locomotive engine is 4.2m in a diameter makes 75 Revolution in a minute find the speed of train in km/h​

Answer 1

Answer:

$\boxed{59.4\; Km/hr}$

Step-by-step explanation:

$\huge \text{Given}$

Diameter = 4.2 m

Revolution per minute = 75

$\huge \text{To Find}$

Speed of Train in Km/hr

$\huge \text{Answer}$

Radius = Diameter   = 4.2/2 = 2.1 m

                        2

Circumference = 2  π  r

                            = 2  π (2.1)

                             = 2 x 3.14 x 2.1 (We know that the value of  π  is  3.14)

                             = 13.2 m

One revolution of the wheel = 1 circumference of the wheel

∵ it is given that the wheel makes 75 Revolution in a minute

Distance covered in 1 minute = 75 x 13.2 = 990 m/minutes

So the Distance covered in 1 hour = 990x60 = 59400m /hr

Distance covered in 1 hour =   59.4 Km/hr