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slamgirl [31]
3 years ago
15

A cd has diameter of 120 millimeters. When playing audio, the angular speed varies to keep the linear speed constant where the d

isc 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.)
Mathematics
1 answer:
pshichka [43]3 years ago
8 0

we are given

A cd has diameter of 120 millimeters

so, d=120mm

so, firstly, we will find radius

r=\frac{d}{2}

we can plug it

r=\frac{120}{2}mm

r=60mm

we know that

1mm=0.001m

so, we get

r=60*0.001m

r=0.06m

the angular speed is about 206 rpm

we know that

1 revolution =2pi radians

so, we get

w=200*2\pi rad/min

now, we can change it into seconds

1 min =60 seconds

so, we get

w=200*2\pi *\frac{1}{60} rad/sec

w=20.94395 rad/sec

now, we can find linear speed(v)

we can use formula

v=w*r

so, we can plug values

and we get

v=20.94395*0.06 m/sec

v=1.256637 m/sec

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

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