Solve each problem. See Example 6. ...

Question

Solve each problem. See Example 6.                                                                                                                                                                                                                                                                                                         
                                                                                                                                                                                                                                                                                                                                                                         
Rotating Airplane Propeller An airplane propeller rotates 1000 times per min. Find the number of degrees that a point on the edge of the propeller will rotate in 2 sec.

Accepted Answer

Hello, everyone. We are asked to calculate the number of degrees that a point on the edge of a blade of an industrial fan will rotate in three seconds. If it is rotating at 1300 times per minute, our answer choices are a degrees B 24, degrees C 23, degrees. D 7800 degrees. OK. So first, let's work with the fact that it says we are rotating 1300 times per minute. So if one rotation is 360 degrees to find out the degrees per minute, we will do 1300 multiplied by 360 degrees. So this means in one minute, this blade or this point on the blade will go 468,000 degrees. So this is per minute, but we're not being asked about minutes, we're being asked about seconds. So if we want to find out how many degrees it is going per second, we'll take our degrees per minute. So 468,000 degrees and divide it by 60 as there are 60 seconds in a minute. And when we do, so we get that we are going, or the point is going 7800 degrees per second. Now that we know how far it goes in one second, we can find out how far it will rotate in three seconds. So we'll take our 7800 degrees and we're gonna multiply it by three for the three seconds that we're being asked about. And that will give us 23,400 degrees. So the point on the edge of the blade will go 23,400 degrees in three seconds, which is answer choice c have a nice day.

Solve each problem. See Example 6. Rotating Airplane Propeller An airplane propeller rotates 1000 times per min. Find the number of degrees that a point on the edge of the propeller will rotate in 2 sec.

Key Concepts

Angular Velocity

Conversion of Units

Time Calculation

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