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Each piston of an engine makes a sharp sound every other revolution of the engine.

(a) How fast (in km/hr) is a race car going if its eight-cylinder engine emits a sound of frequency 543 Hz, given that the engine makes 2022 revolutions per kilometer?
(b) At how many revolutions per minute is the engine rotating?

Respuesta :

Answer:

a) v = 241.69 [tex]\frac{km}{h}[/tex]

b) w = 8145 [tex]\frac{rev}{min}[/tex]

Explanation:

Knowing  [tex]\frac{1}{2022} \frac{km}{rev}[/tex] and 1 rev = 4 sounds

[tex]w = 543 \frac{sounds}{s} * \frac{1 rev}{ 4 sounds}\\ w = 135.75 \frac{rev}{s}\\ v = \frac{1}{2022} \frac{km}{s} * 135.75 \frac{rev}{s} * \frac{3600 s}{1 h} \\v = 241.69 \frac{km}{h} \\w = 135.75 \frac{rev}{s} * \frac{60 s}{1 min}\\ w = 8145 \frac{rev}{min}[/tex]

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