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?

Answer 1

The ball makes approximately 11.934 revolutions during its trip to home plate.

Step-by-step explanation:

To find the number of revolutions the ball makes during its trip, we first need to calculate the time it takes for the ball to travel 18.5 meters to the plate. We can use the formula: time = distance/speed. In this case, the time is 18.5 / 40.2 = 0.459 seconds.

Next, we need to convert the rotational speed from rpm to revolutions per second. There are 60 seconds in a minute, so the rotational speed is 1560 / 60 = 26 revolutions per second.

Finally, we can calculate the number of revolutions the ball makes during its trip by multiplying the rotational speed by the time: 26 × 0.459 = 11.934 revolutions.

Therefore, the ball makes approximately 11.934 revolutions during its trip to home plate.

Answer 2

no of revolutions = 56.62 rev

Step-by-step 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 =
`(26.052)/(0.4601)`

no of revolutions = 56.62 rev