Question

tive Quantitative 00:22:43 A wheel is of diameter 450 cm. How many revolutions can it complete in 15 minutes, if the speed of revolution is 11 km/hr?​

Answer 1

Step-by-step explanation:

275 answers may be correct as per the given question

Answer 2

The wheel completes 195 revolutions.

Step-by-step explanation:

Given:

• Diameter of wheel $= 450 cm = 4.5 m = 0.0045 km$
• Time of revolution $= 15 minutes = 15/60 = 1/4 =0.25 hours$
• Speed $= 11km/hr$

Formula used:

• Circumference of the circle $= 2\pi r = d \pi$
• Speed $= \frac{distance}{time}$
• Number of revolutions $= \frac{Total distance}{distance covered in one revolution}$

To find: Number of revolutions in the given time

Solution:

• First, we need to find the total distance traveled in 15 minutes( 0.25 hours)
• Distance $=speed \times time = 11km/hr \times 0.25 hr = 2.75 km$

Now, we need to find the circumference of the wheel

• Circumference $= 0.0045\times \pi =0.01413 km$

• Number of revolutions $= \frac{2.75}{0.01413} =194.6$

Thus, the wheel takes around 195 revolutions in the given time.