A major-league pitcher throws a baseball toward home plate. The ball rotates at 1560 rpm, and it travels the 18.5 meters to the plate at an

Question

A major-league pitcher throws a baseball toward home plate. The ball rotates at 1560 rpm, and it travels the 18.5 meters to the plate at an average translational speed of 40.2 m/s. How many revolutions does the ball make during this trip?

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Thiên Hương 4 years 2021-07-31T15:02:04+00:00 1 Answers 138 views 0

Answers ( )

  1. thachthao
    0
    2021-07-31T15:03:47+00:00
    Reply

    Answer:

    no of revolutions  = 56.62 rev

    Explanation:

    given data

    rotates = 1560 rpm

    travels distance = 18.5 meters

    speed = 40.2 m/s

    solution

    first we convert here rev/min to rev/sec

    rotates = 1560 rpm = 1560  × 0.0167 = 26.052 rev/sec

    we get here no of revolutions that is

    no of revolutions = spin rotate ÷ time    ……….1

    here time = distance ÷ speed

    time = 18.5 ÷  40.2  

    time = 0.4601 s

    put value in equation 1 we get

    no of revolutions = \frac{26.052}{0.4601}  

    no of revolutions  = 56.62 rev

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