Solve each problem. ...

Question

Solve each problem.                                                                                                                                                                                                                                                                                                                                     
                                                                                                                                                                                                                                                                                                                                                                         
Rotating Propeller The propeller of a speedboat rotates 650 times per min. Through how many degrees does a point on the edge of the propeller rotate in 2.4 sec?​​

Accepted Answer

Hello, everyone. We are asked to calculate the number of degrees that a point on the edge of a blade of a large exhaust fan will rotate in 1.8 seconds. If it's rotating at 700 times per minute, our answer choices are a 2400 degrees. B 7650 degrees C 7560 degrees. D 4200 degrees. Ok. So we need to unpack a few things here. We know we're rotating 700 times in a minute and we want to find out how far it goes in 1.8 seconds. So I think the first thing we need to do is find out the number of degrees it's going per minute. So to find degrees per minute, we're gonna start by taking the 700 times it rotates and multiplying it by 360 degrees is that's one full rotation. So 700 multiplied by 360 degrees will be 252,000 degrees per minute. So that's how far it's going in a minute. So let's find out how far it's going in a second. So degrees per second. We'll take the amount of degrees it goes in a minute. 252,000, we're gonna divide it by 60 seconds because there are 60 seconds in a minute. And that will give us 4200 degrees per second. So now that we know how far it goes each second, we can find out how far will it rotate in 1.8 seconds. So we're gonna take our 1.8 seconds and multiply it by how far it goes per second. So 4200 degrees and when we multiply those two things together, we get 7560 degrees. So this means based on the numbers we are given in 1. seconds, this point will rotate 7560 degrees, which is answer choice. C have a nice day.

Solve each problem. Rotating Propeller The propeller of a speedboat rotates 650 times per min. Through how many degrees does a point on the edge of the propeller rotate in 2.4 sec?

Key Concepts

Angular Velocity

Conversion of Units

Time Calculation

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