on a certain day the propellers complete 20 revolutions per minute and have a speed at of 45 m/s calculate the radius of a propeller to one decimal place using pie as 3.14 ?
20*2πr = 45*60
must be a wind turbine.
esGferl g,ktbr,kjT,aI
To calculate the radius of a propeller, we can use the formula for linear speed. The linear speed (v) of the propeller is the circumference of the circle it traces in a given time divided by the time.
The circumference of a circle is given by the formula:
C = 2πr, where r is the radius of the circle.
In this case, we know the linear speed (v) is 45 m/s, and the propeller completes 20 revolutions per minute.
First, we need to convert the number of revolutions per minute to the number of seconds per revolution.
Since there are 60 seconds in a minute, the number of seconds per revolution is 60/20 = 3 seconds.
Next, we substitute the values into the linear speed formula:
v = C/t.
v = 2πr / t.
Rearranging the formula to solve for r gives us:
r = (v * t) / (2π).
Now we can substitute the given values into the formula and calculate the radius:
r = (45 m/s * 3 s) / (2 * 3.14).
r = (135 m) / (6.28).
r ≈ 21.5 m.
Therefore, the radius of the propeller, rounded to one decimal place, is approximately 21.5 meters.