The vibrating tuning fork is moving slowly and uniformly in a horizontal circular path of radius $8 m$ . The shortest distance of an observer in the same plane from the tuning fork is $9 m$ . The distance between the tuning fork and observer at the instant when the apparent frequency becomes maximum is?

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Solution

If the fork moves in the anti-clockwise direction the frequency heard is the maximum when the fork is approaching the observer. But for the maximum apparent frequency, the position of the observer will be at R.

So we will apply the Pythagorean theorem on triangle ROP

PR = underoot OP square + OR square = underoot 17 square + 8 square = underoot 353 = 18.79m

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The vibrating tuning fork is moving slowly and uniformly in a horizontal circular path of radius 8m. The shortest distance of an observer in the same plane from the tuning fork is 9m. The distance between the tuning fork and observer at the instant when the apparent frequency becomes maximum is?

The vibrating tuning fork is moving slowly and uniformly in a horizontal circular path of radius 8m. The shortest distance of an observer in the same plane from the tuning fork is 9m. The distance between the tuning fork and observer at the instant when the apparent frequency becomes maximum is?