Acd has diameter of 120 millimeters. when playing audio, the angular speed varies to keep the linear speed constant where the disc is being read. when reading along the outer edge of the disc, the angular speed is about 206 rpm (revolutions per minute). find the linear speed in meters/second. (round your answer to three decimal places.)

we are given

A cd has diameter of 120 millimeters

so, d=120mm

so, firstly, we will find radius

we can plug it

we know that

1mm=0.001m

so, we get

the angular speed is about 206 rpm

we know that

1 revolution =2pi radians

so, we get

now, we can change it into seconds

1 min =60 seconds

so, we get

now, we can find linear speed(v)

we can use formula

v=w*r

so, we can plug values

and we get

so, linear speed is 1.257 m/sec............Answer

we need the options

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1