A ventilation fan has blades 0.20 m in radius rotating at 40 rpm. What is the tangential speed of each blade tip?Select one:a.0.42 m/sb.50.27 m/sc.0.84 m/sd.0.27 m/se.8.00 m/s
Question
A ventilation fan has blades 0.20 m in radius rotating at 40 rpm. What is the tangential speed of each blade tip?Select one:a.0.42 m/sb.50.27 m/sc.0.84 m/sd.0.27 m/se.8.00 m/s
Solution
To solve this problem, we need to use the formula for tangential speed, which is v = rω, where v is the tangential speed, r is the radius, and ω is the angular speed.
Step 1: Convert the angular speed from revolutions per minute (rpm) to radians per second.
1 revolution = 2π radians, and 1 minute = 60 seconds.
So, 40 rpm = 40 * (2π / 60) = 4.18879 radians per second.
Step 2: Substitute the values into the formula.
v = rω = 0.20 m * 4.18879 rad/s = 0.83776 m/s.
So, the tangential speed of each blade tip is approximately 0.84 m/s.
Therefore, the correct answer is c. 0.84 m/s.
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