27. each piston of an engine makes a sharp sound every other revolution of the engine. (a) how fast is a race car going if its eight-cylinder engine emits a sound of frequency 750 hz, given that the engine makes 2000 revolutions per kilometer? (b) at how many revolutions per minute is the engine rotating?

a)V= 93.75 m/s

b)The number of revolution per minute = 11,250 rev/min

Explanation:

Given that

Number piston , n =8

 Frequency ,f= 750 Hz

Revolution(R) = 2000 revolutions per kilometer

frequency of each piston

f'=f/n

f'=750/8

f'=93.75 Hz

So the number of revolution made by piston(r) = 2 x 93.75 rev/s

number of revolution made by piston(r) = 187.5 rev/s

The number of revolution per minute = 187.5 x 60 rev/min

The number of revolution per minute = 11,250 rev/min

So the speed of car V given as

r =number of revolution per second

R = revolutions per kilometer

V= 93.75 m/s

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explanation:

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.