Acarousel that is 5.00 m in radius has a pair of 600-hz sirens mounted on posts at opposite ends of a diameter. the carousel rotates with an angular velocity of 0.800 rad/s. a stationary listener is located at a distance from the carousel. the speed of sound is 350 m/s. the longest wavelength reaching the listener from the sirens is closest to

The answer is about 0,59 m or 59 cm the longest wavelength for a listener when the sirens is closest.

Explanation:

Using the equation of the effect Doopler:

Replacing:

W angular velocity  = 0,8

V = 350

VL = 0 * 5 m

Vs = 4  

Replacing:

Note: Notice, the division have the same units so, it can be simplify

Now using the frequency f' as the frequency of the listener to know L wavelength as the relation between f' and V

Note: Remember Hz units are relations inverse of time so:

the answer is d. 4

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15.3 cos 65 degrees trig