A compact disk with a 12 cm diameter is rotating at 5.35 rad/s. (a) What is the

Question

A compact disk with a 12 cm diameter is rotating at 5.35 rad/s. (a) What is the linear speed?
1 m/s
(b) What is the centripetal acceleration of a point on its outerrim?
2 m/s2
(c) Consider a point on the CD that is a quarter of the way fromthe center to the outer rim. Without repeating all of thecalculations required for parts (a) and (b), determine the linearspeed of this point.
3 m/s
(d) Determine the centripetal acceleration of this point.
4 m/s2 (a) What is the linear speed?
1 m/s
(b) What is the centripetal acceleration of a point on its outerrim?
2 m/s2
(c) Consider a point on the CD that is a quarter of the way fromthe center to the outer rim. Without repeating all of thecalculations required for parts (a) and (b), determine the linearspeed of this point.
3 m/s
(d) Determine the centripetal acceleration of this point.
4 m/s2

Explanation / Answer

diameter d = 12 cm radius R = d / 2 = 6 cm = 0.06 m angular speed w = 5.35 rad / s (a). linear speed v = R w                            = 0.321 m / s (b). centripetal accleration a = v ^ 2 / R                                            = 1.717 m / s ^ 2 (c). distance r = R / 4                      = 1.5 cm = 0.015 m linear speed v ' = r w                        = 0.08025 m / s (d). centripetal accleration a ' = v ' ^ 2 / r                                              =0.429 m / s ^ 2

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