Solve each problem. ...

Question

Solve each problem.                                                                                                                                                                                                                                                                                                                                     
                                                                                                                                                                                                                                                                                                                                                                         
Rotating Pulley A pulley is rotating 320 times per min. Through how many degrees does a point on the edge of the pulley move in 2/3 sec?

Accepted Answer

Hello, everyone. We are told a high speed electric motor rotates at a speed of 420 times per minute. We want to find the measure of degrees that the edge of the blade of the motor moves in 4/5 seconds. Our answer choices are a degrees. B 2106 degrees C 2520 degrees D 2016 degrees. So to begin with, if we know that we rotate 420 times in one minute, we should find how many degrees that is per minute. So to find the degrees per minute, I'm gonna take the 420 rotations and multiply it by one full rotations degrees. So 360 degrees. So 420 multiplied by 360 degrees is 151,200 degrees. That's a lot. So we are not working in minutes as much though. We want to work in seconds. So we're next gonna find how many degrees per second and we can do this by taking the degrees per minute. So 151,200 and dividing it by 60 because there are 60 seconds in one minute. And this will tell us that it is degrees per second. So we want to know how far does it go in 4/5 of a second? So we wanna know 4/5 of a second. So we will multiply the degrees by 4/5 which if you'd prefer to multiply it by a decimal 4/5 is the same as 0.8. And when we do so we find that this blade will go 2016 degrees in 4/5 of a second. And that is answer choice. D have a nice day.

Solve each problem. Rotating Pulley A pulley is rotating 320 times per min. Through how many degrees does a point on the edge of the pulley move in 2/3 sec?

Key Concepts

Angular Velocity

Conversion of Units

Time Calculation

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