I don't understand....

Question

The indicator on a circular volume knob is located at 170 degrees. Hannah likes a song that comes on the radio and turns the knob clockwise through 4.75 rotations. What is the new position of the indicator on the volume knob?

Answer 1

Brianna,

 

Since the knob went through 4 complete rotations, we can ignore them for this problem.  What we need to concentrate on is the original starting position of the knob (170 degrees) and the .75 rotation.

 

360×.75= 270 degrees

 

Now, we add this to the original starting position: 170 + 270= 440 degrees

Lastly, we subtract 360 degrees from this, because the knob was turned one complete rotation

 

440-360=80

The knob's new position will be at 80 degrees.

 

I hope this helps!

Answer 2

One rotation is 360 degrees.  We start counting from 170 degress.

 

First rotation:

 

170 + 360 = 530

 

 

Second rotation:

 

530 + 360 = 890

 

 

Third rotation:

 

890 + 360 = 1250

 

 

Fourth rotation:

 

1250 + 360 = 1610

 

 

So at 4 rotations, the position is 1610 degrees.  Add 0.75 rotations to complete the 4.75 rotations.  0.75 rotations is 270 degrees.

 

1610 + 270 = 1880

 

 

The new position of the indicator is 1880 degrees.