Question

The diameter of wheel is 0.70m . Find the distance covered by it in 500 revolutions.If the wheel takes 5 minutes to make 500 revolutions; find its speed in (i) m/s (ii) km/hr

Answer 1

the diameter of wheel=0.70
the distance coverby it=o.70×500=35.000
the wheel takes5 mintues to make 500 revlution=35/5×500=35

Answer 2

Answer:

Speed of the wheel in m/sec = 0.36 m/sec.

Speed in km/hr =  1.29 km/hr

Step-by-step explanation:

Diameter of wheel = 0.07 m

Radius = Diameter / 2 = 0.035 m

Circumference of wheel = $2\pi r$

                                         = $2 \times 3.14 \times 0.035$

                                         = $0.2198$

So, distance traveled in 1 revolution = 0.2198 m

Distance traveled 500 revolutions =  0.2198 *500=109.9 m

Time taken to travel 500 revolutions = 5 minutes

1 minute = 60 seconds

So, 5 minutes = 5*60 = 300 seconds

Speed = $\frac{Distance}{time}$

Speed to make 500 revolutions in 300 seconds= $\frac{109.9}{300}=0.36$

Thus the speed is 0.36 m/sec.

Now to convert the speed in km/hr

1 m/s sec = 3.6 km/hr

So, 0.36 m/s = 0.36* 3.6 = 1.29 km/hr

Thus the speed of the wheel in m/sec = 0.36 m/sec.

Speed in km/hr =  1.29 km/hr