A coin is placed on a vinyl stereo record making 33 1/3 revolutions per minute. a. In what direction is the acceleration of the coin? b. Find the magnitude of the acceleration when the coin is placed 5.0, 10.0, and 15.0 cm from the center of the record.

Question

Mathematics

Eileen Tapia

19 June, 03:24

A coin is placed on a vinyl stereo record making 33 1/3 revolutions per minute. a. In what direction is the acceleration of the coin? b. Find the magnitude of the acceleration when the coin is placed 5.0, 10.0, and 15.0 cm from the center of the record.

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Lilliana · Answer 1

Step-by-step explanation:

f = 100 / 3 rpm = 0.56 rps

(a) Acceleration is centripetal so it is always towards the centre of record.

(b) Angular frequency, ω = 2 πf = 2 x 3.14 x. 56 = 3.52 rad/s

r = 5 cm

a = rω² = 5 x 3.52 x 3.52 = 61.95 cm/s²

r = 10 cm

a = rω² = 10 x 3.52 x 3.52 = 123.9 cm/s²

r = 15 cm

a = rω² = 15 x 3.52 x 3.52 = 185.86 cm/s²