A clarinet player hears the warbling of beats twice per second. When trying to p

Question

A clarinet player hears the warbling of beats twice per second. When trying to play in tune with the nest of the orchestra she finds that by lowering her frequency, she is in true with everyone else at 440 . What was the clarinet player's initial frequency? 2 children and riding on a marry-go-round. The 1st child sits at the edge of the merry-go-round, the 2nd child sits halfway between the edge and the center. Which of the following is true? The children have same linear velocity, but the 1st child has a higher angular velocity The children have the same linear velocity, but the 1st child has a lower angular velocity. Both children have same linear & angular velocity The children have the same angular velocity, but the 1st child has a lower linear velocity. The children have the same angular velocity, but the 1st child has a higher linear velocity.

Explanation / Answer

1. apply beat frequency f = fa - fb

given fbeat = 2

fb = 440 Hz

so fa = 440 + 2   = 442 Hz

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2. apply the law of conservation of momentum as I1 W1 = I2 W2

I is moment of inertia   = mr^2

I1 = I

i2 = I/4

but W remains constant

so

option A is true

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