A standup Record player has two speeds 45 rpm, and 33.3 rpm, these allow it to p

Question

A standup Record player has two speeds 45 rpm, and 33.3 rpm, these allow it to play two types of records LPs and Singles. The turntable itself sits 120 cm

A)Find the centripetal acceleration for each record type if the turntable that the record sits on is 13 inches in diameter.

B)No one uses records anymore and you want to convert your record player to read a CD. A typical audio CD spins at 500 rpm, by how much do you need to increase the Centripetal force to do this? (Assume the player was originally built to spin records that weigh 180 grams.

C)A poor old lady doesn’t know you have souped up this record player and places a LP on the player. The record spins up, but shatters when the Fc =1000 N. Find the tangential velocity of a shard as it breaks

D)Find the Displacement a shard of record goes away from the record player. (The old lady is spry and dove out of the way, she is fine.)

Explanation / Answer

A)angular frequency(w)=2*pi*f ; for 2 speeds frequencies respectively, w1=1.5*pi; w2= 1.11pi

acceleration= w2*r; r=13/2 inches=0.165 m

For, 45rpm ; a1=(1.5*pi)2*0.165 = 3.66 ms-2

a2=2.01ms-2

B) frequency(f)=500/60; w=2*pi*f=50pi/3

acceleration(a)= w2*r=452.36

centripetal force= m*a=81.42 N

extra Force greater than 45 rpm=80.766 N

C)F=m*v2/r ;

Tangential velocity(v)=sqrt(1000*0.165/0.18)=30.28 ms-1

D) More datais required.

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