The wheel completes 195 revolutions.
Step-by-step explanation:
Given:
- Diameter of wheel [tex]= 450 cm = 4.5 m = 0.0045 km[/tex]
- Time of revolution [tex]= 15 minutes = 15/60 = 1/4 =0.25 hours[/tex]
- Speed [tex]= 11km/hr[/tex]
Formula used:
- Circumference of the circle [tex]= 2\pi r = d \pi[/tex]
- Speed [tex]= \frac{distance}{time}[/tex]
- Number of revolutions [tex]= \frac{Total distance}{distance covered in one revolution}[/tex]
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 [tex]=speed \times time = 11km/hr \times 0.25 hr = 2.75 km[/tex]
Now, we need to find the circumference of the wheel
- Circumference [tex]= 0.0045\times \pi =0.01413 km[/tex]
- Number of revolutions [tex]= \frac{2.75}{0.01413} =194.6[/tex]
Thus, the wheel takes around 195 revolutions in the given time.